Question 1 The maximum discount value of the Entertainment@ card for the "Fine Dining" section, Edition 10, for various pages is given below. Page number Maximum value ($) 4 16 14 19 25 15 32 17 43 19 57 15 72 16 85 15 90 17 a) Decide which variable should be the independent variable and which should be the dependent variable. Justify your choice. b) Draw a scatter plot of the ordered pairs. c) Does it appear that the restaurants giving the maximum value are placed in the beginning of the "Fine Dining" section? How did you arrive at your answer? d) What is the slope of the least squares (best-fit) line? Interpret the slope. e) What is the intercept of the least squares (best-fit) line? Interpret the intercept. f Write down the equation for the least squares line. Interpret your equation. g) Find the estimated maximum values for the restaurants on page 10 and on page 70. Plot the two points on the scatter plot. h) Find and interpret the correlation coefficient. i) Suppose that there were 200 pages of restaurants. What do you estimate to be the maximum value for a restaurant listed on page 200? j) Is the least squares line valid for page 200? Why or why not? k) Use the 5% level of significance to examine whether the independent variable is a good predictor for the dependent variable. Justify your result