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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

Respuesta :

Answer:

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

Step-by-step 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

[tex]H_0: r=0\\H_a: r\neq 0[/tex]

Test statistic t = [tex]r\sqrt{\frac{n-2}{1-r^2} } \\=-0.226[/tex]

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

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