5 Shown below is a portion of a computer output for regressi

5.   Shown below is a portion of a computer output for regression analysis relating y (dependent variable) and x (independent variable).

ANOVA

df

SS

Regression

1

882

Residual

20

4000

Total

21

4882

Coefficients

Standard Error

t Stat

Intercept

5.00

3.56

Variable x

6.30

3.00

a.

What has been the sample size for the above?

b.

Perform a t-test and determine whether or not x and y are related. Use a = 0.05.

c.

Perform an F-test and determine whether or not x and y are related. Use a = 0.05.

d.

Compute the coefficient of determination.

e.

Interpret the meaning of the value of the coefficient of determination that you found in d. Be very specific.

Solution