Question

Car & Driver conducts comprehensive road tests on all new car models and reports the results in the "Road Test Digest". One variable measured is the time it takes a car to accelerate from 0 to 60 miles per hour. To model acceleration time, a regression analysis is conducted on the following data collected for a random sample of 129 new cars:

TIME60: Y = Elapsed time (in seconds) from 0 mph to 60 mph

MAX: X = Maximum speed attained (miles per hour)

Initially, the simple linear model E(y) = b_{0} +
b_{1}x was fit to the data. Computer printouts for the
analysis are given below:

PREDICTOR

VARIABLES COEFFICIENT STD ERROR STUDENT'S T P

--------- ----------- --------- ----------- ------

CONSTANT 18.7171 0.63708 29.38 0.0000

MAX -0.08365 0.00491 -17.05 0.0000

R-SQUARED 0.6960 RESID. MEAN SQUARE (MSE) 1.28695

ADJUSTED R-SQUARED 0.6937 STANDARD DEVIATION 1.13444

SOURCE DF SS MS F P

---------- --- ---------- ---------- ----- ------

REGRESSION 1 374.285 374.285 290.83 0.0000

RESIDUAL 127 163.443 1.28695

TOTAL 128 537.728

CASES INCLUDED 129 MISSING CASES 0

- Fill in the blank: "At a =.05, there is ________________ between maximum speed and acceleration time."

**A. ** sufficient evidence
of a positive linear relationship

**B.** insufficient
evidence of a negative linear relationship

**C.** sufficient
evidence of a negative linear relationship

**D.** sufficient
evidence of a downward curvilinear relationship

Answer #2

As r square is 0.6960 that is coefficient of determination.

Hence r is correlation coefficient is 0.8345

So that correction coefficient equal to 0.8345 indicate that there is high positive correlation between the X = Maximum speed attained (miles per hour) and Y= Elapsed time (in seconds) from 0 mph to 60 mph.

Hence, there is sufficient evidence of a positive linear relationship Between maximum speed and acceleration time.

Correct option is

a.sufficient evidence of a positive linear relationship.

answered by: anonymous

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