136 Sample Examination Two fourteen global positi 2. consumer organization compa

Question

136 Sample Examination Two fourteen global positi 2. consumer organization compared the screen and prices of units screen sA GPS units used in the study included and system Prices between s90 as 3.5 and 7 data is shown below. computer output from a regression analysis of these StDev Coef 29.65 -0.32 0.755 Predictor 9.47 0.000 Constant Screen size 32.461 62.8 s 22.3293 R-sq 65.7 R-sq (adj) (a) Using the computer output, write the equation of the least squares regression line that describes the relationship between price and screen size. (b) that GPS units are selected, and the screen sizes of the two units differ by 4 inches. According to the least squares line, how much more than the unit with the smaller screen is the one with the larger screen expected to cost?

Explanation / Answer

a) price = -9.47 + 32.461*screen size

b) For an increase in 1 inch of screen size, the price is expected to go up by 32.461. This is the meaning of the regression coefficient. So for 4 inches, the price is expected to change by 4*32.461 = $129.844

c) price = -9.47 + 32.461*6.5 = $201.5265

d) Yes, as the point for screen size 7 is almost inline with least squares regression line and removing that particular point will still keep the square of residuals for other points to the minimum.

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