9. Castle Rock Entertainment has produced many movies over the past few years. A vice president wants to see if there's a relationship between the total cost of a lm (including production costs, salaries, and marketing expenses) and the gross income produced by the film through ticket sales in American movie theaters. A random sample of films produced the following data pairs (data source: Castle Rock Entertainment): Cost (Million of Dollars) Gross Income (Million of Dollars) 55 150.5 42 123.0 17 68.0 30 93.0 43 16.0 26 5.0 19 10.0 35 35.0 22 20.0 13 15.0 a) Find the relationship between the cost and gross income using Pearson's Product Moment Correlation Coefficient. b) Test for signicance using 5% as level of significance. c) Find the regression line. d) Predict the gross income if the costs are: 52, 16.5 and 37 million dollars. e) Find the standard error of estimate