Question: 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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