You wish to determine if there is a linear correlation between the two variables
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You wish to determine if there is a linear correlation between the two variables

You wish to determine if there is a linear correlation between the two variables at a significance level of a = 0.02. You have the following bivariate data set.


What is the correlation coefficient for this data set? r= -0.804

To find the p-value for a correlation coefficient, you need to convert to a t-score:


This t-score is from a t-distribution with n-2 degrees of freedom.

What is the p-value for this correlation coefficient?

p-value =

Your final conclusion is that...

O There is sufficient sample evidence to support the claim that there is a statistically significant correlation between the two variables.

O There is insufficient sample evidence to support the claim the there is a correlation between the two variables.

Note: In your calculations, round both r and t to 3 decimal places in ALL calculations.

Hint
a)corr coef, r=(n∗sum(XY)−sum(X)∗sum(Y))/(sqrt(n∗sum(x2)−[sum(x)]2)∗sqrt(n∗sum(y2)−[sum(y)]2))corr coef, r=(17∗88445.95−1296.4∗1194.5)/(sqrt(17∗99975.8−[1296.4]2)∗sqrt(17∗93646.71−[1194.5]2))corr coef, r = -0.804104...

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