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 film (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) 150.5 55 42 123.0 68.0 93.0 16.0 17 30 43 26 5.0 10.0 19 35 35.0 20.0 15.0 22 13 a) Find the relationship between the cost and gross income using Pearson's Product Moment Correlation Coefficient. b) Test for significance 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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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Answer a, b, & c only

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 film (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)
150.5
55
42
123.0
68.0
93.0
16.0
17
30
43
26
5.0
10.0
19
35
35.0
20.0
15.0
22
13
a) Find the relationship between the cost and gross income using Pearson's Product Moment
Correlation Coefficient.
b) Test for significance 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
Transcribed Image Text: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 film (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) 150.5 55 42 123.0 68.0 93.0 16.0 17 30 43 26 5.0 10.0 19 35 35.0 20.0 15.0 22 13 a) Find the relationship between the cost and gross income using Pearson's Product Moment Correlation Coefficient. b) Test for significance 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
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