Question

Suppose we want to predict job performance of Chevy mechanics based on mechanical aptitude test scores.

Job Performance	Mechanical Aptitude
1	40
2	45
1	38
3	50
2	48
3	55
3	53
4	55
4	58
3	40
5	55
3	48
3	45
2	55
4	60
5	60
5	60
5	65
4	50
3	58
6	60
3	45

Test at 0.05 level of significance. Assuming data is normal.  Use 2 decimal places.

STATISTICS = _____

R = _____

COEFFICIENT OF DETERMINATION = _____

SLOPE OF THE LINE = _____

Y INTERCEPT = _____

Answer 1

Hence T Statistics = 5.44 , as it is too high as compared to T critical value . and also lies in the rejection region . So we reject the null hypothesis . Slope coefficient have a significant impact on Job performance .

Coefficient of determintion = R ^ 2 = 0.5971

R = √0.5971

= 0..7727

Regression line , Y = -3.68 + 0.1355 X

where Y = Job performance

X = Mechanical Aptitude

Hence slope of the line is + 0.1355

Y intercept = Put X = 0 , i.e -3.68 .