Part 2: Free Response Show all your work. Indicate clearly the methods you use, because you will be graded on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. Below is some data on the relationship between the price of a certain manufacturer's flat- panel LCD televisions and the area of the screen. We would like to use these data to predict the price of televisions based on size. Scatterplot of Price vs area Screen Area Price 700 (sq. inches) (dollars) 600 154 250 207 500 265 289 330 400 437 375 584 575 683 650 200 200 300 area 500 600 700 (a) Use your calculator to find the equation of the least-squares regression equation. Write the equation below, defining any variables you use. (b) Explain what is meant by "least squares" in the expression "least-squares regression line." (c) This manufacturer also produces a television with a screen size of 943 square inches. Would it be reasonable to use this equation to predict the price of that television? Explain. (d) Calculate the residual for the television that has a screen area of 437 square inches. What does this number suggest about the cost of this television, relative to the others