Question

1.) Suppose you will perform a test to determine whether there is sufficient evidence to support a claim of a linear correlation between two variables. Find the critical values of r given the number of pairs of data n and the significance level α.

n = 6, α = 0.05

Group of answer choices

r = ±0.811

r = 0.878

r = ±0.917

r = 0.811

2.) Suppose you will perform a test to determine whether there is sufficient evidence to support a claim of a linear correlation between two variables. Find the critical values of r given the number of pairs of data n and the significance level α.

n = 6, α = 0.01

Group of answer choices

r = ±0.811

r = 0.917

r = ±0.917

r = 0.959

Answer 1

Solution:

Question 1)

Given:

n=6 ,

We have to find r critical values to test the linear correlation between two variables.

Thus

Df=n-2=6-2=4

Two tail area = 0.05

Thus look in r critical value table for df =4 and two tail area = 0.05

Since this is two tailed test, we have two r critical values. Thus r critical values are

Question 2)

n=6

Thus df = n-2=6-2=4

Two tail area =0.01

since this is two tailed test , we have two r critical values

r critical values =