In Exercise 3.19, Consumer Reports6 gave the prices and screen sizes for the top 10 LCD TVs in the 46-inch and higher categories. Does the price of an LCD TV depend on the size of the screen?

a. Suppose that we assume that the relationship between size and price is linear, and perform a linear regression, resulting in a value of r2 = .027. What does the value of r2 tell you about the strength of the relationship between price and screen size?
b. The diagnostic plots for this data are shown below. Does it appear that either the normality or equal variance assumptions have been violated?

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Brand Price (S) Size Sony Bravia KDL-52NX800 Samsung LN55C650 Vizio VF550M Sony Bravia KDL-60EX700 Sharp Aquos LED LC-52LE700UN Sony Bravia KDL-46XBR10 Samsung UN4608000 Vizio SV472XVT Samsung UN46C7000 LG 47LD450 52 1600 1330 2700 1620 2500 2200 1400 2100 60 52 46 46 47 46 47 Normal Probability Plot (response is Price) 95 80 70 ㄏㄧㄧㄏㄧㄒㄧ一丁一一ㄒㄧㄧㄏ 1500-1000 -500 500 1000 500 Residual Versus Fits (response is Price) 500- -500 1000- 1800 1850 1900 950 20002050 Fitted Value