In: Statistics and Probability
Listed below are the budgets (in millions of dollars) and the gross receipts (in millions of dollars) for randomly selected movies. Answer parts
a-c.
Budget (x) Gross (y)
63 60
93 66
45 51
31 57
203 624
105 143
90 46
a. Find the value of the linear correlation coefficient
b. Find the critical values of r from the table showing the critical values for the Pearson correlation coefficient using
α=0.05.
c. Is there sufficient evidence to conclude that there is a linear correlation between the two variables?
A. No, because the absolute value of the correlation coefficient is greater than the critical value.
B. Yes, because the absolute value of the correlation coefficient is greater than the critical value.
C. Yes, because the absolute value of the correlation coefficient is less than the critical value.
D. No, because the absolute value of the correlation coefficient is less than the critical value.
Solution:
a) correlation coefficient r=0.911
b) critical value r_c = 0.754
c) Conclusion:
B. Yes, because the absolute value of the correlation coefficient is greater than the critical value.