Assume you ran a multiple regression to gain a better understanding of the relationship between lumber sales, housing starts, and commercial construction. The regression uses LumberSales (in $100,000s) as the response variable with HousingStarts (in 1,000s) and Commercial Construction (in 1,000s) as the explanatory variables. The results of the regression are as follows: df SS MS F SignificanceF Regression 2 180,770 90,385 103 0 Residual 45 39,375 875 Total 47 220,145 Coefficients Standard Error t-stat p-value Intercept 5,37 1,71 3,14 0,0030 Housing Starts 0,76 0,09 8,44 0,0000 Commercial Construction 1,25 0,33 3,78 0,0005 Requirement: a. At the 5% significance level, are the explanatory variables jointly significant in explaining LumberSales? Explain. b. At the 5% significance level, is Commercial Construction 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.
Assume you ran a multiple regression to gain a better understanding of the relationship between lumber sales, housing starts, and commercial construction. The regression uses LumberSales (in $100,000s) as the response variable with HousingStarts (in 1,000s) and Commercial Construction (in 1,000s) as the explanatory variables. The results of the regression are as follows:
df | SS | MS | F | SignificanceF | |
Regression | 2 | 180,770 | 90,385 | 103 | 0 |
Residual | 45 | 39,375 | 875 | ||
Total | 47 | 220,145 |
Coefficients | Standard Error |
t-stat | p-value | |
Intercept | 5,37 | 1,71 | 3,14 | 0,0030 |
Housing Starts | 0,76 | 0,09 | 8,44 | 0,0000 |
Commercial Construction |
1,25 | 0,33 | 3,78 | 0,0005 |
Requirement:
a. At the 5% significance level, are the explanatory variables jointly significant in explaining LumberSales? Explain.
b. At the 5% significance level, is Commercial Construction 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.
(please if can, show me in excel/spreadsheet)
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