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.

The following multiple linear regression depicts the sales of Unilever Corporation: S = 10- 0.20P + 0.06TA + 0.08RA Where:S: Sales (Unit);P: Price ($/Unit);TA: Television advertising ($)RA: Radio advertising ($). 1. Interpret the slopes;2. Is television advertising more effective than radio advertising? Why or why not?3. What is the effect of a $1 increase in price, a $3 increase in TV advertising, and a $2decrease in radio advertising on sales?4. What is the effect of a $2 decrease in price, a $2 decrease in TV advertising, and a $4increase in radio advertising on sales?

Multiple Cholce 0.1352 0.1563 0.8446 0.8648

Because colas tend to replace healthier beverages and colas contain caffeine and phosphoric acid, researchers wanted to know whether cola consumption is associated with lower bone mineral density in women. The accompanying data lists the typical number of cans of cola consumed in a week and the femoral neck bone mineral density for a sample of 15 women. Complete parts (a) through (d) below. Click the icon to view the women's data. (a) Find the regression equation treating cola consumption per week as the x-variable. y=x+ (Round to three decimal places as needed.) (b) Interpret the slope. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. For 0 colas consumed in a week, the bone density is predicted to be (Round to three decimal places as needed.) g/cm³. OB. For every cola consumed per week, the bone density decreases by (Round to three decimal places as needed.) g/cm³, on average. OC. For a bone density of 0 g/cm³, the number of colas…