The data below shows the annual salaries (in millions) and the number of viewers

Question

The data below shows the annual salaries (in millions) and the number of viewers (in millions) of eight television actors and actresses. Answer parts a-c 14 31 Salary () 12 93 1043 54..1.8_ 10.6 94 13.5 4.5 a. Find the value of the linear correlation coefficient r r= (Round to three decimal places as needed) b. Find the critical values of r from the table showing the critical values for the Pearson correlation coefficient using -05. The critical values are ± (Round to three decimal places as needed) c. Is there suficient 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 O B. Yes, because the absolute value of the correlation coefficient is less than the critical value 0 C. Yes, because the absolute value of the correlation coefficient is greater than the critical value 0 D. No, because the absolute value of the correlation coefficient is less than the critical value

Explanation / Answer

The statistical software output for this problem is:

Correlation between Salary (X) and Viewers (Y) is:
0.10999861

Hence,

a) r = 0.110

b) Critical value = 0.707

c) Option D is correct.

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