Question 2 Does The Weight Of A Car Affect Miles Per Gallon We Would Like To Determine If There Is A Linear Relationshi 1 (31.31 KiB) Viewed 9 times
Question 2 Does The Weight Of A Car Affect Miles Per Gallon We Would Like To Determine If There Is A Linear Relationshi 2 (47.72 KiB) Viewed 9 times
QUESTION 2 Does the weight of a car affect miles per gallon? We would like to determine if there is a linear relationship between weight of a car and miles per gallon of the car. Using the Minitab printout below answer the following questions a) What is the explanatory variable? What is the response variable? b) What is the least squares regression equation? c) What is the coefficient of determination, 27 d) What is the correlation coefficient, r? e) Are there any outliers? If so, which observations are outliers? (If there is more than one, list observations with a comma between them. White N/A if there are none.) Are there any influential observations? If so, which observations are influential? Regression Analysis: MPG versus Weight Analysis of Variance Source Regression Weight Emor Lack-of-F (If there is more than one, list observations with a comma between them. White N/A if there are none.) f) Suppose the weight of the cars in this sample ranged from 1.95 to 4.36 thousand pounds What would be the predicted miles per gallion of a car weighing 2.5 thousand pounds? What would be the predicted miles per gallon of a car weighting 7.5 thousand pounds? DE Ad 15 AMS Vale -Value 1 1293.52 1293.52 150.16 0.000 0.000 T 1293.52 129352 159.16 36 292.58 34 29027 Interpret this result. 8.13 8.54 741 0.336 Interpret this result. 6.5 points Save Answer
Regression Analysis: MPG versus Weight Analysis of Variance Source DF Adi SS Adi MS F-Value P-Value 1 1293.52 1293.52 159.16 0.000 1293.52 159.16 0.000 1 1293.52 36 34 741 0.126 Regression Weight Error Lack-of-Fit Pure Error Total 292.58 290.27 2 2.31 37 1586.09 Model Summary 8.13 8.54 1.15 S R-sq R-sq(ad) R-sq(pred) 79.57% Term Constant Weight 2.85080 81.55% 81.04% Coefficients Coef SE Coef, T-Value 48.71 24.93 1.95 -8.365 0.663 -12.62 Regression Equation MPG = 48.71 -8.365 Weight P-Value VIF 0.000 0.000 1.00 Fits and Diagnostics for Unusual Observations Obs MPG Fit 5 16.200 29.299 -13.099 19 33.500 27.328 6.172 25 37.300 30.891 6.409 32 25.500 23.521 1.979 Resid Std Resid -3.86 R 2.20 RX 2.31 R 0.28 X
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