Question

In: Statistics and Probability

A video media consultant collected the following data on popular LCD televisions sold through on-line retailers....

A video media consultant collected the following data on popular LCD televisions sold through on-line retailers.

Manufacturer Screen
(in inches)
Price ($)
Sharp 52 1,549.25
Samsung 30 402.00
Samsung 49 1,632.00
Sony 33 480.50
Sharp 34 411.00
Samsung 51 1,488.25
Samsung 50 1,729.00
Sharp 31 432.75
Sharp 48 1,481.25
Sony 33 400.75
Sony 37 513.50
Samsung 33 486.50
Sharp 43 1,078.25
Sharp 32 463.00
Sharp 30 469.25
Samsung 51 1,721.00
Sharp 52 1,746.75
Samsung 33 467.50
Sony 38 636.75
Sony 32 421.75
Sony 42 871.00
Sony 49 1,548.25
Sony 40 812.00

a) Does there appear to be a linear relationship between the screen size and the price?

b) Which variable is the "dependent" variable?

c-1) Use statistical software to determine the regression equation. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)

c-2) Interpret the value of the slope in the regression equation. (Round your answer to 3 decimal places.)

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. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.)

e) Test each of the individual coefficients to see if they are significant. (Negative amounts should be indicated by a minus sign. Round your t-statistic to 2 decimal places and p-value to 4 decimal places.)

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