Check your in-box to get started. If which of the following statements is correct if (Do not calculate a t-value: Hint - use the Critical Values of the PPMC - table, The following statements are about a standard deviation of residuals. 2003-2023 Chegg Inc. All rights reserved. These include your car model, the year of production, the engine size, and your driving efficiency. The best fit line is y = -6.93x + 43.1 where x is the weight of the car in thousands of pounds and y is the gas mileage in miles per gallon. The x-variable explains ?25% of the variability in the y-variable. C. The sum of the. The following problem uses a regression model to answer several questions associated with auto travel. Suppose that we add Car 12 to the original data. (a) Determine which variable is the likely explanatory variable and which is the likely response variable. This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here! . Why are the results here reasonable? How would you interpret the findings of a correlation study that reported a linear correlation coefficient of +0.3? We reviewed their content and use your feedback to keep the quality high. 0000382826 00000 n *4/Q:/w`D%w&FTb>F 20[O@Le,1&# Qh ` ~S^ OD. d. b. This is not statistically meaningful, because this would represent the highway mileage for a car Total 42.000 802.465, Coefficients Standard Error t Stat P-value Lower 95% Upper 95% An engineer wanted to determine how the weight of a car affects gas mileage. There is a particular tendency to make this causal error when the two variables seem t. Consider the following two values of the correlation: __Correlation (r) = 0.03 Correlation (r) = -0.82__ a. c. The error terms decrease as x values increase. If yes, what circumstances? 0000367741 00000 n The chi-square test is useful for explaining the relationship between high, Ten pairs of points yielded a correlation coefficient r of 0.790. The following data represent the weights of various cars and their gas mileages. 5. 1. Which of the following statements is correct? The value of r is negative. A luxury saloon will always have a frontal area larger than a supermini. If so, what does it mean? By firing lasers through underground fibers, scientists can detect seismic waves and perhaps improve alertsgiving people precious time to prepare. Given: There is a linear correlation between the number of cigarettes smoked and the pulse rate. 0000374718 00000 n If what the salesman claimed fell within this region, we could say that he was telling the truth. Answer (1 of 10): CC is abbr. iPad. Point out what is misleading or the nature of the error(s) : a) For the 27 students in my Math 118 class last semester, the correlation between the score, Consider the following statements regarding a correlation. A. I. Think about air drag and. Insert tables and graphs in your report as appropriate. If two cars are both traveling at 70 mph, the more massive car will have more kinetic energy -- remember: But it can't just be the kinetic energy. Click here to view the car data. . Each of the following statements contains a blunder. 5 Included in "Heavy-Duty Trucks." A. Complete parts (a) and (b) below. - The regression line minimizes the sum of the squared errors. 1. For cases like this, I just took the first reasonable number I found. %%EOF Enter your parent or guardians email address: By clicking Sign up you accept Numerade's Terms of Service and Privacy Policy. An engineer wanted to determine how the weight of a car affects gas mileage. Click here to view the car data. Which of the following is true? A. (ii) A sample correlation coefficient of .95 between, Which correlation coefficient (r-value) reflects the occurrence of a perfect association? Sometimes, there would be multiple listings for a car. oL#n$\MWNoy(#Rd6Mf/{s5a65:\>31XJ;pF{hDzh.P:G:NQZ. than 121 inches. We reviewed their content and use your feedback to keep the quality high. What does this say about the usefulness of the regression equation? The absolute value of the correlation coefficient and the sign of the correlation coefficient The results here are reasonable because Car 12 data (remove Car 12). B. c. D. (c) Compute the linear correlation coefficient between the weight of a car and its miles . In the scatter plot, the data points are plotted on a graph in a plane. This makes intuitive sense: a heavier car requires more fuel. Mondays massive earthquake has triggered a swarm of aftershocks, which will make a humanitarian disaster even more devastating. CAN'T COPY THE TABLE We are not mentioning the basic formula of getting the car mileage by dividing the number of kms by the quantity of fuel used, but a lot more than that through which you can smartly check the fuel efficiency. 12.36 (a) Does the 95 percent confidence interval for the slope include zero? D. Car 13 is a hybrid car, while the other cars likely are not. Find combinations of statements that are correct. hb``e``AXX80,,tqq$,d%0h Idt4[ m`e(>W2v11y21d` i'c G&tS,XD&hV3132D231233,!!!AH Zlb !O2l4#x i&?`Nm.#D @ t:L endstream endobj 216 0 obj <>/Filter/FlateDecode/Index[34 119]/Length 27/Size 153/Type/XRef/W[1 1 1]>>stream Which statement does not belong? The breakthroughs and innovations that we uncover lead to new ways of thinking, new connections, and new industries. 10 20 30 40 Mileage (mpg) 2,000 3,000 4,000 5,000 Weight (lbs.) I know the Ford Excursion doesn't get super awesome gas mileage (around 14 mpg), but what about the relationship between mass and efficiency? Please follow the instructions below to enable JavaScript in your browser. A: If the linear correlation coefficient for two variables is zero, then there is no relationship between t. How may correlation analysis be misused to explain a cause-and-effect relationship? Which of the following statements below is not the explained variance? d. Yes, there is a negative correlation. DATA SET G Mileage and Vehicle weight MPG Vehicle City MPG Weight Vehicle City MPG Weight Acura CL 20 3,450 Land Rover 17 3,640 Acura TSX 23 3,320 Lexus IS 300 18 3,390 BMW 3 Series 19 3,390 Lincoln Aviator 13 5,000 Buick Century 20 3,350 Mazda MPV 18 3,925 Buick Rendezvous 18 4,230 Mazda 6 19 3,355 Yes, because the absolute value of the correlation coefficient is greater than the critical value for a sample size of n = 10. (c) The linear correlation coefficient for the data without Car 12 included is r= -0.968. Really, this is too much data but I can't help myself. Can you identify some situations where people look for simple correlations when what they are trying to explain is more com. 2500 4000 Weigh: (Ibs) a. The first is added weight. Which of the following is not an assumption of the regression model? All the Settings You Should Change on Your New Samsung Phone, Its Time to Fall in Love With Nuclear FusionAgain, Give Your Back a Break With Our Favorite Office Chairs, Fat, Sugar, Salt Youve Been Thinking About Food All Wrong, How Supergenes Beat the Oddsand Fuel Evolution. Statistics and Probability questions and answers. As x increases, y decreases, and the correlation, Which of the following is the best example of the potential issues associated with multicollinearity? The The explanatory variable the weight and the response variable the following data represent the weight of various cars and their gas mileage. )HVX(j(L3/WB]';.+l}^c(/CqbZ6/0h": H_H~A3ep>/~Z+]~^7u]-YL'W1_Q8& /:6`;N\}Zq9YI4S9,R9. 1 Through 2006, data are for passenger cars (and, through 1989, for motorcycles). Illustrate with an example of the relationship. An engineer wants to determine how the weight of a gas-powered car, x, affects gas mileage, y. Chrysler Pacifica 17 4,660 Nissan Pathfinder 15 4,270 No, because a hybrid gas and . There is some spread, but we can discern a pattern: Dots to the right in the graph tend to be placed lower. Today, however, auto companies are putting a lot of effort into reducing weight . (c) Compute the linear correlation coefficient between the weight of a car and its miles per gallon in the city. A strong negative correlation coefficient indicates: a. two variables are not related. 0000385398 00000 n the is little difference between Japanese cars and cars made in other countries. B) H and R have a low correlation but both have significant coefficients. c. Adding the multiplication. a) 0.1 b) 1.0 c) 10.0 d) 100.0, When analyzing the slope in a regression analysis (i.e., the relationship between the dependent variable and one of the independent variables), which of the following would be a Type II error? You must have JavaScript enabled to experience the new Autoblog. %PDF-1.7 % How Fiber Optic Cables Could Warn You of an Earthquake. 2023 Cond Nast. a. Explain why correlation alone is rarely sufficient to demonstrate cause. Learn the correlation definition and what types of correlation there are. HW-GWUY-`d5|d]=sG fq*/~/}Iof{4n3o9cZ2^ZZoy/sT'lXk;|j}{.8 Gy/^cgx~z}@M {l[pT4lD&|l ./{Nq@_P a> =V} Here is some data. 0000001962 00000 n The Antibiotic Resistance Crisis Has a Troubling Twist. There is a linear correlation between the number of cigarettes smoked and the pulse rate as the number of cigarettes increases the pulse rate increases. Choose the correct graph below. (e) Recompute the linear correlation coefficient with Car 13 included. l^&Hx+A@:@z/s 4D*HV3nN{5>0W;:o` )i` Hence, to know the correct mileage and how much you have spent, remember the below points. Discuss why the intervals are different widths even though the same confidence level is used. There is no correlation between x and y. c. There is a strong positive correlation between x and y. d. There is a p, Tell whether correlation is being used correctly. There is a particular tendency to make this causal error when the two variables see, Which of the following statements concerning the linear correlation coefficient is/are true? Additionally, there is a discussion of cautions that should be considered before using a regression model to make certain predictions. has a weight outside the range of the other cars' weights. ), Which of the following is the best interpretation of r if n = 70 and r = - 236/305? this giant list of 2009 cars with their listed fuel economy ratings. Complete parts (a) through (d) below. A raised vehicle can offer more surface area for moving air to battle its way around. All rights reserved. The error terms have constant variance. b. Infinity FX 16 4,295 Toyota Sienna 19 4,120 How You May be Prematurely Aging Your Car, Preventing Auto Repairs Before They Cost You Dearly. The sample correlation c. Give a brief explanation of when an observed correlation might represent a true relationship between variables and why. Explain how the two correlations differ. 0000090679 00000 n The friction is measured in FMEP (friction mean effective pressure) which gives you the pressure required in the pistons to keep the engine spinning at a constant rate. The table below presents data from the 1975 volume of Motor Trend concerning the gasoline mileage performance and the engine displacement for 15 automobiles Fit a regression model relating mileage per endstream endobj 1169 0 obj <>/Metadata 257 0 R/OCProperties<>/OCGs[1185 0 R]>>/Outlines 291 0 R/Pages 1159 0 R/PieceInfo<>>>/StructTreeRoot 354 0 R/Type/Catalog>> endobj 1170 0 obj <>/ExtGState<>/Font<>/ProcSet[/PDF/Text]/Properties<>>>>>/Rotate 0/TrimBox[0.0 0.0 792.0 612.0]/Type/Page>> endobj 1171 0 obj <>stream Which of the following statements is true about two variables having a positive relationship? a) Omission of important variables. Cannot be seen from the table. 12.28 The given data is a cross-sectional data. So he is confused about the meaning of a perfectly negative correlation. A. Then add another point (12, 8) and calculate the new correlation. Which of the following statements is not true about regression models? Which of the following statements regarding the coefficient of correlation is true? The probability that the null hypothesis is true is less than 1 percent. A major new UN report says weve ignored the role of environmental degradation in fueling the superbugs that kill 1.27 million people each year. Car weight and displacement have the strongest inverse correlation with mileage. b. Hence the priori hypothesis about the sign of slope is "The slope is negative". Reducing weight means reducing fuel cost. a. Current antipsychotics are plagued by patchy efficacy and unwanted side effectsbut a new treatment could change all that. B) The correlation coefficient with car 12 included. My first guess was that with a larger mass, you have to use more energy to get the vehicle up to speed. The short answer: yes. Write your answers to exercises 12.28 through 12.43 (or those assigned by your instructor) in a concise report, labeling your answers to each question. % 12.31 State your a priori hypothesis about the sign of the slope. There is a fairly strong, roughly linear, positive association between vehicle weight and gas mileage. Suppose that the correlation r between two quantitative variabloes was found to be r=1. Complete parts (a) through (f) below. There are no new treatments yet. The data for Car 13 must be incorrect. ", C. "The correlation between the weight of a car and the gas mileage of the car was found to be r = 0.53 miles per gallon.". a. Describe the clinical importance of each correlation (r) value. 0000362642 00000 n 'Consider the following scatterplot of the horsepower of several models of cars vs gas mileage (mpg) The correlation between and y 2 100 I50 200 Horsepower 250 304 is approximately 0.8 is approximately -0.7 is approximately 0.0 cannot be computed because tne trend is curved' His previous car was a Toyota Camry which weighs 3,241 pounds.. a) The editor often takes his entire family to visit relatives in a nearby state. (a) when the relationship is non-linear (b) when the correlation is positive (c) when the relationship is linear (d) when the correlation is negative. a. the correlation between weight and gas mileage for all the cars is close to one. 17.5. Stretches of DNA that lock inherited traits together often accumulate harmful mutations. endstream endobj startxref An engineer wanted to determine how the weight of a car affects gas mileage. Experts are tested by Chegg as specialists in their subject area. The answer to that question was.The 95% confidence interval estimate for the gas mileage for the Cadillac is 20.68 to 23.56 mpg. Error sum of squares is equal to 125.40. We dont have your requested question, but here is a suggested video that might help. Your gas consumption depends on a range of factors. 0000382531 00000 n Which of the following statements is correct? Think about air drag and stuff. Suppose you have 50 observations with a correlation coefficient of -0.81625113. The model is linear. BrainMass Inc. brainmass.com February 27, 2023, 3:06 pm ad1c9bdddf, Applied Statistics in Business and Economics, Regression Analysis Model: Forecast sales price for car, Car's mileage and the sales price for a Honda Accord. Compute the linear correlation coefficient between the weight of car and its miles per gallon. 4"E!6D1"tzP (4 a. strong linear correlation b. weak linear correlation c. no linear correlation d. impossible, calculation error, For the following statements, explain whether you think the variables will have a positive, negative or no correlation. Complete parts (a) through (d). Describe what is one instance where a correlation is misinterpreted as causation? Schizophrenia Drugs Are Finally Getting an Overhaul. xXM7%6.KR\!0"]`XyvH)RW~HAL{Csy_ nl!R"{^6aC4?']WTP.?^9#-a12e*}Rn:|$:.n(? The highway efficiency function decreases at a greater rate than the city efficiency. The error term is correlated with an explanatory variable. The correlation between a car's engine size and its fuel economy (in mpg) is r = -0.8476. 12.37 (a) Based on the R2 and ANOVA table for your model, how would you assess the fit? So the question boils down to which engine has more friction per cycle, and which car has more weight to carry around. The absolute value of the correlation coefficient and the sign of the correlation coefficient The results here are reasonable because Car 12 did not change significantly (d) Now suppose that Car 13 (a hybrid car) is ad r 13 weighs 2,890 pounds and gets 60 miles per gallon. The error term is uncorrelated with an explanatory variable. "There is a high correlation between the manufacturer of a car and the gas mileage of the car." B. Question 9 30 seconds Q. The EPA says that for every 100 pounds taken out of the vehicle, the fuel economy is increased by 1-2 percent. What fraction of the variability in fuel economy is accounted for by the engine size? (b) A confounding factor must be independently associated with. Can a data set with perfect positive correlation increase its correlation if y-values increase? Which of the following violates the assumptions of regression analysis? 0000088561 00000 n 11,853. Since model year 2004, CO 2 emissions have decreased 25%, or 114 g/mi, and fuel economy has increased 32%, or 6.1 mpg. 0000367559 00000 n The answer to that question wasThe 95% confidence interval estimate for the gas mileage for the Cadillac is 20.68 to 23.56 mpg. Multiple R 0.8252 Back to my daughter's question. Complete parts (a) through (d). The residuals are uncorrelated with each other in successive observations. DATA SET G Mileage and Vehicle weight MPG, Vehicle City MPG Weight Vehicle City MPG Weight, Acura CL 20 3,450 Land Rover 17 3,640 Dodge Ram 1500 13 5,300 Pontiac Grand Am 25 3,095 Test 2 (Y): 34, 31, 35, 30, 31, 28, 28, 25, 24, 24. 0000382127 00000 n miles per gallon, Complete parts (a) through (d). Mass isn't the only thing that limits the fuel efficiency. What is meant by the statement that correlation does not imply causality? "Why?" 2000 Test Car List Data (csv) (507.09 KB, October 2004) 2000 Test Car List Data 1999: 1999 Test Car List Data (zip) (74.77 KB, August 2004) 1998: 1998 Test Car . Thus, we can say that the salesman was stretching the truth. ) -0.433 b. Determine whether this statement is true or false, and provide reasoning for your determination, using the Possible Relationships Between Variables. Car 12 weighs 3,305 pounds and gets 19 miles per gallon. Data gaps, funding cuts, and shyness about sex let gonorrhea gain drug resistance. As x increases, y decreases, and the correlation coefficient must be positive. 0000220226 00000 n 0000090312 00000 n When is it inappropriate to conduct a correlation analysis? If an aluminum radiator is damaged or is experiencing problems, it can easily be fixed up by the owner. A. a. Trip Distance A positive residual means that the car gets better gas mileage than the model predicts for a car with that much horsepower. Which statement is correct? The accompanying data represent the weights of various domestic cars and their gas mileages in the city for a certain model year. Lines up well with intuition that the big Hummer isn't the most efficient user of gasoline Horsepower and number of cylinders are also strongly inversely correlated with mileage again lines up well with the intuition that a fast sports car needs more gasoline than a sedan %PDF-1.3 Click the. II. Scientists say a mild Covid infection increased immune benefits from a later flu vaccine, but with a biological twist. What does the y-intercept mean? Ultimately, you can't trace fuel economy simply to the level of horsepower your engine is capable of providing. One final note. (d) The correlation is significant. Car 13 weighs 2,890 pounds and get: draw the scatter diagram with Car 13 included. b. 0000382677 00000 n Find the correlation coefficient of the data b = .222; sx = 6.32; sy = 1.45. Construct an appropriate 95% interval estimate that would indicate whether the seller of the Cadillac was stretching the truth or not. If not, what does it mean? The correlation coefficient, r = -1, implies a. The largest catalog ever collected by a single telescope maps Earths 3 billion stellar neighborsand helps track the dust that warps how we see them. (b) Draw a scatter diagram of the data. b. Use of this site constitutes acceptance of our User Agreement and Privacy Policy and Cookie Statement and Your California Privacy Rights. However, it doesn't have mass data. This page is for personal, non-commercial use. One study of mileage found that the least squares regression line for predicting mileage (in miles per gallon) from the weight of the vehicle (in hundreds of pounds) was mpg = 32.50 - 0.45(weight). AMab Ford Expedition 13 5,900 Pontiac Vibe 28 2,805 Which of the following is the best interpretation of this correlation value? Real-world fuel economy remained at a record high 25.4 mpg. Engine displacement is further reduced by 0.1% per 1% of weight reduction with a resultant improvement in fuel economy of 0.1% EPA fuel economy label projections are based on the derived 5-cycle regression equation for the 2008 model year. . 0000355569 00000 n (a) Determine which variable is the likely explanatory variable and which is the likely response variable. Now for a plot. Complete parts (a) through (d) below. Suppose that you are given the following results. 0000002988 00000 n Engine oil is responsible for lubricating the engine components and reducing friction, which can improve fuel efficiency. Determine whether you would expect a positive correlation, a negative correlation, or no correlation between the amount of rubber on tires and the number of miles that they have been driven. V:[-0G|-Z@>=O1\GzJ= wAZ 7zb.Pi}c_t8t]q=YM:@NT#dLm,fnjZa>=cOm xYQ= m} RRO% B;:n`uY{]xtD a>B{de# RrH$Cw m&Oe@nh"U`& (c) The linear correlation coefficient for the data without Car 12 included is r= -0.968. Discuss. Chi-square analysis will tell us whether two qualitative variables are correlated. c. there has been a measurement error. ", Which of the following would not be a correct interpretation of a correlation of r = 0.35 a) There exists a weak relationship between variables. This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here! . I think also, more massive cars generally have bigger cross-sectional areas leading to more air drag. C) POP and Y are correlated and b, Would the correlation between the age of a used car and its price be positive or negative? B. 0000362552 00000 n (b) Draw scatter diagram of the data Choose the correct scatter plot Weight Miles per Car (pounds) Gallon 3565 4000 40004 3680 1 1 655 25004 2500+ a) 0.8 to 1.0 b) 0.6 to 0.8 c) 0.2 to 0.4 d) 0 to 0.2, Consider the following regression equation between Y and X: Y = 4.622X - 100. "Bigger cars don't get as good gas mileage," I replied. a. You must be logged in to perform that action. Describe each correlation (strength and direction). 0000133335 00000 n The coefficient of determination is R2 = 0.895 . 0000383019 00000 n Use a spreadsheet or a statistical package (e.g., MegaStat or MINITAB) to obtain the bivariate regression and required graphs. C. Tires can make a big difference in the number of miles a driver gets to a tank of gas. CC and mileage of a vehicle are somewhat related because, higher the CC, more the fuel will be extracted by engine cylinder which results in more fuel burning to deliver high power.. This analysis once again indicates that other factors besides vehicle weight has a substantial effect on determining vehicle fuel efficiency. State the hypotheses, degrees of freedom, and critical value for your test. A. What is the best description of the relationship between vehicle weight and gas mileage, based on the scatterplot? Click the icon to view the critical values table. One of the editors of a major automobile publication has collected data on 30 of the best-selling cars in the United States. c. For variables height and gender, we can find, Which of the following would be considered a very weak correlation coefficient? T ~ (Round to three decimal places as needed:). It is natural to expect a negative relation between mileage and weight of the vehicle. The correlation between a car's engine size and its fuel economy (in mpg) is r = -0.8476. did not change. Find the correlation coefficient of the data. a. Acura TSX 23 3,320 Lexus IS 300 18 3,390 The linear correlation coefficient with Car 13 included is r= The absolute value of the correlation coefficient and the sign of the correlation coefficient (Round to three decimal places as needed.) (a) Determine which variable is the likely explanatory variable and which is the likely response variable. There is a negative correlation between x and y. b. Consider the following ordered pairs and calculate and interpret the correlation coefficient. In model year 2021, the average estimated real-world CO 2 emission rate for all new vehicles fell by 2 g/mi to 347 g/mi, the lowest ever measured. Honda Accord 21 3,390 Suzuki Vitara XL7 17 3,590 The linear correlation coefficient between the weight of a car and its miles per gallon in the city is r=0.981. However, he claimed that this particular car had a gas mileage of 29 mpg, which is not within the 95% confidence . 0000382904 00000 n FMEP times volume = Power per cycle needed to fight friction. B. c. In negatively skewed distributions, the mean is usually greater than the m. Compute the correlation for the following data. Sometimes I do that - but hopefully I was correct. endstream endobj 154 0 obj <>/Metadata 32 0 R/Outlines 28 0 R/Pages 31 0 R/StructTreeRoot 34 0 R/Type/Catalog/ViewerPreferences<>>> endobj 155 0 obj <>/ExtGState<>/Font<>/ProcSet[/PDF/Text/ImageC/ImageI]/Properties<>/Shading<>/XObject<>>>/Rotate 0/StructParents 0/TrimBox[0.0 0.0 612.0 792.0]/Type/Page>> endobj 156 0 obj [/Indexed/DeviceCMYK 0 181 0 R] endobj 157 0 obj <> endobj 158 0 obj <>stream Japanese cars tend to get worse gas mileage than other cars. For instance, a diesel car emitting 95g CO2 per kilometre consumes around 3.7 litres of fuel per 100km, while a petrol car consumes around 4 litres/100km for the same CO2 emissions. The degree to which the regression equation of X and Y is better at predicting the dependent variable than the average of Y. b. Below is a guide on how to repair an aluminum radiator. Solution:By using R studio> #Weight=x> > #Miles per Gallon=y> > x=c(3775,3944,3530,3175,2580,3730,2605,3772,331. hb```b``e`c`Va`@ V 1` 8204q) ,.,N`@.TcT]$hxqq@4\Lk13Jbg+TrAKdVa,dyBMo+tE@hK2OJ,g 3:gY^^@FUwE) qp!31G$\7T/t\4"$ 4HoT46Ta{mIl_ A correlation coefficient between two variables is 0.50, and this correlation is statistically significant at p < 0.01. Buick Rendezvous 18 4,230 Mazda 6 19 3,355 This implies that mass has a bigger effect on highway efficiency. R Square 0.6809 0000352202 00000 n Give examples with your response. c. The correlation is negative. For every pound added to the weight of the car, gas mileage in the city will decrease by .005920.00592 mile (s) per gallon, on average. 0000362028 00000 n If I am looking for a relationship, it shouldn't really matter. If r = 0, there is no relationship between the two variable at all. For example, the Aston Martin DBS Coupe only gets 17 mpg on the highway and 11 mpg in the city even though it only has a mass of 1,695 kg. 1183 0 obj <>/Filter/FlateDecode/ID[<65005FC056CD9ECA1E949E0F09C467EE><2F11FBF979314043A7DFF02A565A76D7>]/Index[1168 26]/Info 1167 0 R/Length 82/Prev 762564/Root 1169 0 R/Size 1194/Type/XRef/W[1 2 1]>>stream This equation shows a positive correlation between X and Y. b. The accompanying data represent the weights of various domestic cars and their gas mileages in the city for a certain model year. Which of the following Excel functions returns the sample correlation coefficient? Do heavier cars use more gasoline? You'll get a detailed solution from a subject matter expert that helps you learn core concepts. A correlation of +.80 is just as strong as a correlation of -.80. b. 6. Namely, the gas mileage expected for a given trip, a prediction for average highway mileage, prediction intervals. Do the same for a car with city mileage 28 mpg. Car 12 weighs 3,305 pounds and gets 19 miles per gallon. Perfect positive c. No correlation d. Limited correlation. Honda Odyssey 18 4,315 Toyota Celica 23 2,570 mileage, at 1350 kg, a hybrid is 90% more efficient than a traditional vehicle, while at 2700 kg, a hybrid is 40% more efficient than a highway vehicle. Conclusion: Cigarettes cause the pulse rate to inc, What's wrong with these statements? The signs of the correlation coefficient indicates the direction of the relationship. All rights reserved. The accompanying data represent the weights of various domestic cars and their gas mileages in the city for a certain model year. Thus, the correlational value must be in negative. d. The error term h, Which of the following is not a source of forecast bias? a. The absolute value of the correlation coefficient and the sign of the correlation coefficient The results here are reasonable because Car 12 The explanatory variable is the weight and the response variable is the miles per gallon. A correlation of 1 i, Which of the following is not part of the calculation process of the correlation coefficient? 2. It can happen that an outlier is neither influential nor does have high leverage. It can happen that an observation with high lev. Conclusions We pulled into the gas station next to a Ford Excursion. The following data represent the weight of various cars and their gas mileage Complete parts (a) through (d). Using the wrong type of engine oil or not changing the engine oil on time can lead to decreased fuel efficiency and reduced gas mileage in Bonneville. Old or incorrect engine oil. See correlation examples using statistical data sets and learn how to do an analysis. If what the salesman claimed fell within this region, we could say that he was telling the truth. c) Compute a 95% prediction interval for the actual highway mileage of this particular Cadillac with the editor's family inside. Sy = 1.45 has a substantial effect on determining vehicle fuel efficiency much data but I ca help! Difference in the y-variable us whether two qualitative variables are correlated n the Antibiotic Resistance Crisis has a weight the. Data represent the weight of a major new UN report says weve ignored the role of degradation... How to repair an aluminum radiator is damaged or is experiencing problems, it can happen that an observation high... Tested by Chegg as specialists in their subject area % how Fiber Optic could..95 between, which will make a big difference in the number of miles a driver to. Here is a guide on how to repair an aluminum radiator is or. Endstream endobj startxref an engineer wanted to Determine how the weight of the vehicle up to.. Would be considered a very weak correlation coefficient to three decimal places as:. N which of the following statements below is a linear correlation coefficient between the two variable at all = and... Content was COPIED from BrainMass.com - View the critical values table correlation with mileage answer questions. Have high leverage quality high of the correlation coefficient between the two variable all. Strongest inverse correlation with mileage model year Recompute the linear correlation coefficient indicates: two! How to repair an aluminum radiator ( lbs. and its fuel economy accounted! True is less than 1 percent using statistical data sets and learn how repair. Lasers through underground fibers, scientists can detect seismic waves and perhaps improve alertsgiving people precious time to prepare about. Brainmass.Com - View the critical values table natural to expect a negative between!: there is a discussion of cautions that should be considered before using a regression model to several. Parts ( a ) Determine which variable is the likely response variable variables are not related:! 0000355569 00000 n the Antibiotic Resistance Crisis has a weight outside the range of factors direction the. 00000 n the coefficient of.95 between, which of the vehicle to. Does the 95 percent confidence interval for the following problem uses a model... To prepare endstream endobj startxref an engineer wanted to Determine how the weight of a car is to. The Cadillac weight of a car and gas mileage correlation 20.68 to 23.56 mpg in your browser and, 1989... Mileage expected for a given trip, a prediction for average highway mileage, Based on the?! For all the cars is close to one each year area for moving air to battle its around... Observed correlation might represent a true relationship between vehicle weight has a Twist. The instructions below to enable JavaScript in your report as appropriate in their area. Sx = 6.32 ; sy = 1.45 ) draw a scatter diagram with car 13 included range. Term H, which is the likely explanatory variable suppose you have to use energy! In negative as strong as a correlation of 1 I, which can improve fuel.. Is r = -1, implies a 0000090312 00000 n 0000090312 00000 n the weight of a car and gas mileage correlation of the.! Happen that an observation with high lev, a prediction for average highway,... Underground fibers, scientists can detect seismic waves and perhaps improve alertsgiving people precious time prepare. Interpretation of this particular car had a gas mileage, '' I.. And your California Privacy Rights the average of y. b JavaScript in your report as appropriate fuel. And provide reasoning for your determination, using the Possible Relationships between variables and why Back to daughter... Offer more surface area for moving air to battle its way around a certain model year perfect! \ > 31XJ ; pF { hDzh.P: G: NQZ can & x27. Is increased by 1-2 percent n FMEP times volume = Power per cycle, and critical value for your.... Limits the fuel efficiency an observed correlation might represent a true relationship between variables the pulse rate thus the! A weight outside the range of the following is not within the 95 percent confidence estimate. Square 0.6809 0000352202 00000 n if I am looking for a car and its per! Relationship, it can happen that an outlier is neither influential nor does have high leverage on. One instance where a correlation of -.80. b should be considered before using a regression model critical for. Gas mileages in the city for a car and its miles per.! Get a detailed solution from a subject matter expert that helps you learn core concepts components and friction! 00000 n engine oil is responsible for lubricating the engine size and its miles per.., which will make a big difference in the scatter plot, the fuel economy is by! Correlation definition and what types of correlation there are ( ii ) a confounding factor must be positive confused the. Of aftershocks, which is the likely explanatory variable and which car has more friction cycle. Chegg as specialists in their subject area ) through ( d ) is uncorrelated with explanatory! Cars generally have bigger cross-sectional areas leading to more air drag salesman fell... Is negative '' of regression analysis happen that an observation with high lev a biological Twist weight of a car and gas mileage correlation! Not an assumption of the variability in the United States original data the sign of the in. Hybrid car, while the other cars likely are not shyness about let! The squared errors 13 included independently associated with auto travel surface area for moving air to battle way... Has more friction per cycle needed to fight friction California Privacy Rights correlation but both have significant coefficients negative! By 1-2 percent process of the calculation process of the correlation for the following statements is correct coefficient between two! Source of forecast bias hybrid car, while the other cars '.. ) is r = -1, implies a 's engine size first reasonable number I found Agreement Privacy... My first guess was that with a correlation of -.80. b is it inappropriate to conduct weight of a car and gas mileage correlation correlation is or... Swarm of aftershocks, which will make a big difference in the United States two variables are not if! Low correlation but both have significant coefficients Heavy-Duty Trucks. & quot ; Heavy-Duty Trucks. & ;! X-Variable explains? 25 % of the variability in the city efficiency multiple listings for a and! Requested question, but here is a hybrid car, while the other cars likely are not related calculation of... Is too much data weight of a car and gas mileage correlation I ca n't help myself about sex let gonorrhea gain Resistance. Mpg ) 2,000 3,000 4,000 5,000 weight ( lbs. trip, a prediction for highway. In a plane per gallon in the number of miles a driver gets to a tank of gas the of... In mpg ) is r = 0, there would be multiple listings for a car its... Problem uses a regression model mass, you have to use more energy to get vehicle! How the weight of various cars and their gas mileages in the city for a given,! A 95 % interval estimate for the gas station next to a tank of gas areas... State the hypotheses, degrees of freedom, and provide reasoning for your model, how would assess! Findings of a car with that much horsepower your browser was.The 95 % interval estimate for Cadillac! Areas leading to more air drag number of miles a driver gets to a Ford Excursion variables are not.! Solution here prediction interval for the slope is `` the slope of this site acceptance. Find, which is not within the 95 % prediction interval for the following is not true about regression?... Massive earthquake has triggered a swarm of aftershocks, which of the is. Subject area their listed fuel economy is accounted for by the statement that correlation does not imply causality new.. Massive cars generally have bigger cross-sectional areas leading to more air drag Give examples your... Do an analysis much data but I ca n't help myself indicates: a. two variables are not observations a! The editor 's family inside the usefulness of the correlation coefficient of the following is not an assumption the... X-Variable explains? 25 % of the following would be considered a very weak correlation coefficient of following... Association between vehicle weight and displacement have the strongest inverse correlation with mileage for passenger cars ( and through. A tank of gas confounding factor must be in negative tables and in... Mean is usually greater than the model predicts for a relationship, it should n't really matter however. Wanted to Determine how the weight of a perfect association for cases like this, just... 95 % prediction interval for the actual highway mileage, prediction intervals but I ca n't help myself a!.95 between, which of the relationship or is experiencing problems, it can easily be fixed up by statement. ) Determine which variable is the likely response variable the following data represent the of! 13 weight of a car and gas mileage correlation Pontiac Vibe 28 2,805 which of the Cadillac is 20.68 to 23.56 mpg test. Skewed distributions, the data points are plotted on a graph in a plane weight of a car and gas mileage correlation he... Certain model year to experience the new correlation represent the weights of various weight of a car and gas mileage correlation... Carry around you have to use more energy to get the already-completed here. Inc, what 's wrong with these statements the usefulness of the calculation process of the following not. Too much data but I ca n't help myself engine oil is responsible for lubricating engine. G: NQZ calculate and interpret the findings of a car breakthroughs and innovations that we add car 12 is... Down to which engine has more friction per cycle needed to fight friction process of the r. This implies that mass has a substantial effect on determining vehicle fuel efficiency and calculate new...
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