Observations are taken on sales of a certain mountain bike i
Observations are taken on sales of a certain mountain bike in 30 sporting goods stores. The regression model was Y = total sales (thousands of dollars), X1 = display floor space (square meters), X2 = competitors\' advertising expenditures (thousands of dollars), X3 =advertised price (dollars per unit).
Fill in the values in the table given here. (Negative values should be indicated by a minus sign. Leave no cells blank - be certain to enter \"0\" wherever required. Round your t-values to 3 decimal places and p-values to 4 decimal places.)
What is the critical value of Student\'s t in Appendix D for a two-tailed test at = .01? (Round your answer to 3 decimal places.)
t-value =
(b-2)
Choose the correct option.
| Observations are taken on sales of a certain mountain bike in 30 sporting goods stores. The regression model was Y = total sales (thousands of dollars), X1 = display floor space (square meters), X2 = competitors\' advertising expenditures (thousands of dollars), X3 =advertised price (dollars per unit). |
Solution
a)
b-1.
Here, df = n - k - 1 = 30 - 3 - 1 = 26.
Thus, at alpha = 0.01, 2 tailed,
tcrit = 2.778714533 [ANSWER]
b-2.
As the only one which exceeded the critical value,
A) Only FloorSpace differs significantly from zero. [ANSWER]
| Predictor | Coefficient | SE | tcalc | p-value |
| Intercept | 1,225.40 | 397.3 | 3.08431915 | 0.00479138 |
| FloorSpace | 11.522 | 1.33 | 8.66315789 | 3.8486E-09 |
| Competing Ads | -6.935 | 3.905 | -1.7759283 | 0.08745127 |
| Price | -0.14955 | 0.08927 | -1.67525484 | 0.10587182 |
