In: Statistics and Probability
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
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.