In a study, nine tires of a particular brand were driven on a track under identi
ID: 3130968 • Letter: I
Question
In a study, nine tires of a particular brand were driven on a track under identical conditions. Each tire was driven a particular controlled distance (measured in thousands of miles) and the tread depth was measured after the drive. Tread depth is measured in “mils.” Here, 1 mil is 0.001 inch. The least-squares regression line was computed. The equation of the least-squares regression line is:
Tread depth = 360.64 11.39x (thousands of miles)
The least-squares line would predict that the tread depth of a tire driven 16 thousand miles would be
Select one:
a. 360.64 mils
b. 178.4 mils
c. -181,879 mils
d. 260.5 mils
Explanation / Answer
TREAD DEPTH = 360.64 - 11.39X, HERE X IS THE DISTANCE TRAVELLED
WE NEED TO GET THE TREAD DEPTH OF A TIRE WHEN THE TIRE HAS DRIVEN 16(IN THOUSAND) MILES
SO IT WILL BE
TREAD DEPTH = 360.64 - 11.39*(16) = 360.64 - 182.24 = 178.4
HENCE OPTION B IS CORRECT
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