Question

In: Statistics and Probability

A company would like to examine the linear relationship between the age and credit score of...

A company would like to examine the linear relationship between the age and credit score of an individual. The following table shows the credit scores and ages of 5 randomly selected people. These data have a sample correlation​ coefficient, rounded to three decimal​ places, of

0.973.

Using this data and

α=0.10​,

test if the population correlation coefficient between a​ person's age and credit score is different than zero. What conclusions can you​ draw?

Age

32

24

52

21

34

Credit score

670

650

760

615

660

A.

What is the test​ statistic?

t=__________

b. what is p- value_____________

reject or not reject

does apear or does not

Solutions

Expert Solution

The population correlation coefficient is

Test for Correlation coefficient:

Thus we conclude that the population correlation coefficient is not equal to zero. i.e. there exist linear relation ship between Age and Credit Score.


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