Question: A consumer analyst collected the following data on the screen sizes of popular LCD televisions sold recently at a large retailer: Manufacturer Screen Price Sharp
A consumer analyst collected the following data on the screen sizes of popular LCD televisions sold recently at a large retailer: |
| Manufacturer | Screen | Price | ||
| Sharp | 45 | $2,430.50 | ||
| Samsung | 41 | 2,383.00 | ||
| Samsung | 37 | 1,756.00 | ||
| Sony | 28 | 1,360.00 | ||
| Sharp | 32 | 1,114.50 | ||
| Samsung | 50 | 2,850.00 | ||
| Samsung | 51 | 1,182.00 | ||
| Sharp | 33 | 1,273.50 | ||
| Sharp | 34 | 1,249.00 | ||
| Sony | 32 | 1,394.00 | ||
| Sony | 35 | 1,997.00 | ||
| Samsung | 25 | 950.00 | ||
| Sharp | 50 | 2,932.50 | ||
| Sharp | 54 | 3,150.00 | ||
| Sharp | 25 | 780.00 | ||
| Samsung | 28 | 1,039.50 | ||
| Sharp | 42 | 1,980.50 | ||
| Samsung | 42 | 2,233.50 | ||
| Sony | 52 | 2,998.50 | ||
| Sony | 35 | 1,931.00 | ||
| Sony | 34 | 1,893.00 | ||
| Sony | 32 | 1,200.00 | ||
| Sony | 36 | 1,607.50 | ||
|
| (c-1) | Use statistical software to determine the regression equation. (Round your answers to the nearest whole number. Negative amounts should be indicated by a minus sign.) |
| Price = + Screen. |
| (c-2) | Interpret the value of the slope in the regression equation. (Round your answer to the nearest whole number.) |
| For each inch increase in screen size, the price increases $ on average. |
| (d) | Include the manufacturer in a multiple linear regression analysis using a "dummy" variable. Does it appear that some manufacturers can command a premium price? Hint: You will need to use a set of indicator variables. (Round your answers to 2 decimal places. Negative amounts should be indicated by a minus sign.) |
| Price = + Screen + Manufacturer Sharp + Manufacturer Sony |
| (e) | Test each of the individual coefficients to see if they are significant. (Round your answers to 2 decimal places. |
| Predictor | T | P |
| Screen | ||
| Manufacturer_Sharp | ||
| Manufacturer_Sony | ||
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