Shown below is a partial regression computer output The regr

Shown below is a partial regression computer output.

The regression equation is

Y=14.4 -8.69X1 + 13.52X2

Predicator

Coef

    SE Coef             T      

Constant

  14.4

         8.191               1.76

X₁

______

              1.555                _____     

X₂

  13.52

              2.085                _____     

SS=3.45                                                                                      

R-sq=______                           

                R-sq(adj)=_______

ANOVA

DF

SS

Regression

         2

60

Residual (Error)

     ______

  71.17

Total                                7                       720.0

Fill in the missing entries [12]

Interpret the coefficient on X₁ [3]

Interpret the R2 and R2a (adjusted R2) [4]

Out of the R2 and R2a which is a better measure of fit? [1] Explain why [1]

Solution

The regression equation is

Y=14.4 -8.69X1 + 13.52X2

coefficient of X1   -8.69

R square = 0.42119

residual df 5

for each value of X1 you will have an decrese of 8.69