9.nthia Jones is Director of Marketing at Vancouver Industries, a large producer of athletic apparel and accessories. Approximately three years ago,
Three years later, in preparation for an upcoming shareholders meeting, the CEO of Vancouver has asked Jones for an evaluation of the marketing campaign. Sales have increased since the inception of the new marketing campaign nearly three years ago, but the CEO is questioning whether the increase is due to the marketing expenditures or can be attributed to other factors. Jones is examining the following data on the firm's aggregate revenue and marketing expenditure over the last 10 quarters. Jones plans to demonstrate the effectiveness of marketing in boosting sales revenue. She chooses to utilize a simple linear regression model. The output is as follows:
| Aggregate Revenue (Y) | Advertising Expenditure (X) | Y2 | XY | X2 |
| 300 | 7.5 | 90,000 | 2,250 | 56.25 |
320 | 9.0 | 102,400 | 2,880 | 81.00 | |
310 | 8.5 | 96,100 | 2,635 | 72.25 | |
335 | 8.2 | 112,225 | 2,747 | 67.24 | |
350 | 9.0 | 122,500 | 3,150 | 81.00 | |
400 | 8.5 | 160,000 | 3,400 | 72.25 | |
430 | 10.0 | 184,900 | 4,300 | 100.00 | |
390 | 10.5 | 152,100 | 4,095 | 110.25 | |
380 | 9.0 | 144,400 | 3,420 | 81.00 | |
430 | 11.0 | 184,900 | 4,730 | 121.00 | |
TOTAL | 3,645 | 91.2 | 1,349,525 | 33,607 | 842.24 |
Slope coefficient = 34.74 Standard error of slope coefficient = 9.916629313 Standard error of intercept = 92.2840128
ANOVA | |||
| Df | SS | MS |
Regression | 1 | 12,665.125760 | 12,665.12576 |
Residual | 8 | 8,257.374238 | 1,032.17178 |
Total | 9 | 20,922.5 | |
For the questions below, assume that the regression model was estimated using a large number of observations.
What is the upper limit of the 95 percent confidence interval for the slope coefficient?
A) 62.84.
B) 46.05.
C) 36.70.
D) 54.18.
|
The correct answer was D)
Upper Limit | = coefficient + (1.96 x standard error of the coefficient) |
| = 34.74 + (1.96 x 9.917) = 54.18 |
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