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The correlation coefficient (r)=0.835 has a p value of 0.010 which is less than the level of significance of 0.05 henc the null hypothesis is

The correlation coefficient (r)=0.835 has a p value of 0.010 which is less than the level of significance of 0.05 henc the null hypothesis is rejected and a conclusion is reached that there is a significant relationship between x and y.

df SS MS F Significance F
Regression 2 180,770 90,385 103.3 103.3
Residual 45 39,375 875
Total 47 220,145
Coefficients Standard Error t-stat p-value
Intercept
Housing Starts 0.76 0.09 8.44 0.0000
Commercial Construction 1.25 0.33 3.78 0.0005

a. At the 5% significance level, are the explanatory variables jointly significant in explaining LumberSales? Explain.

b. At the 5% significance level, is CommercialConstruction significant in explaining LumberSales? Explain.

c. At the 5% significance level, can you conclude that the slope coefficient attached to HousingStarts differs from 1? Explain.

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