Question

6. The following data was extracted from the 1974 Motor Trend US magazine, and com- prises fuel consumption , mpg, (response) and 6 aspects of automobile design and per- formance (explanatory variables) for 32 automobiles (1973-74 models). mpg Miles/(US) gallon cyl Number of cylinders disp Displacement (cu.in.) hp Gross horsepower Transmission (0 = automatic, 1 = - manual) am 4 5 6 7 8 50 150 250 LULU O mpg P8 tagad 2008 10 25 QUE 000 cyl DOO DO om DOD ero Seegoga 300 8 disp 100 400 o gore 00 hp Oo ... ood o am 0.0 0.6 டிடி La DOOMOO Locom.com 100 300 10 20 30 0.0 0.4 0.8 am mpg cyl disp hp mpg 1.0000000 -0.8521620 -0.8475514 -0.7761684 0.5998324 cyl -0.8521620 1.0000000 0.9020329 0.8324475 -0.5226070 disp -0.8475514 0.9020329 1.0000000 0.7909486 -0.5912270 hp -0.7761684 0.8324475 0.7909486 1.0000000 -0.2432043 am 0.5998324 -0.5226070 -0.5912270 -0.2432043 1.0000000 (a) [4 points) Which explanatory variable is most highly correlated with the response?

Answer 1

Solution

From the given correlation matrix

The cyl variable is most highly correlated with the response variable mpg having correlation r = -0.8521620.

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