As technology improves, your choice of televisions becomes more complicated. Should you choose an LCD TV, a plasma TV, and with rear or front projection? In the table below, Consumer Reports gives 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?

For Information: Refer to Exercise 3.19.
Suppose we assume that the relationship between x and y is linear.
a. Find the correlation coefficient, r. What does this value tell you about the strength and direction of the relationship between size and price?
b. Refer to part a. Would it be reasonable to construct a regression line used to predict the price of an LCD TV based on the size of the screen?

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Brand Price (S) Size Brand Price (S) Size Sony Bravia KDL-52NX800 Samsung LN55C650 Vizio VF550M Sony Bravia KDI-60EX700 Sharp Aquos LED LC-52LE700UN 2340 52 Sony Bravia KDL-46XBR10 2500 46 1600 55 Samsung UN46C8000 200 46 1400 47 2700 60 Samsung UN46C700O 2100 46 900 47 1330 55 Vizio SV47ZXVT 1620 52 LG 47LD450