Question

The data below shows the annual salaries​ (in millions) and the number of viewers​ (in millions) of eight television actors and actresses. Construct a​ scatterplot, find the value of the linear correlation coefficient​ r, and find the​ P-value using alphaαequals=0.05. Is there sufficient evidence to conclude that there is a linear correlation between the two​ variables?

Salary_(x) Viewers_(y)
92 13
14 4.9
12 5.7
34 1.4
13 10.3
10 9.8
6 13.3
2 4.3

Answer 1

There is sufficient evidence to conclude that there is a linear correlation between the two​ variables

Explanation:

Given that the data below shows the annual salaries​ (in millions) and the number of viewers​ (in millions) of eight television actors and actresses.

x y

92 13

14 4.9

12 5.7

34 1.4

13 103

10 9.8

6 13.3

2 4.3

r -0.092373993

Correlation is -0.09237 a weak correlation negative

`H_0: r=0\\H_a: r\\eq 0`

Test statistic t =
`r\sqrt{(n-2)/(1-r^2) } \\=-0.226`

df -6

p value = 0.828

Accept null hypothesis

There is sufficient evidence to conclude that there is a linear correlation between the two​ variables