A market research company wants to study the relationship between \(y=\) investment (in pounds) and \(x=\) rate of interest (in percentage) for a British commercial bank. The observations for the last four months are as shown in the following table. The correlation coefficient equals \(r=0.857\).

a. Find the mean and standard deviation for each variable. (You can enter the data in the Linear Regression app by selecting Your Own under Enter Data. Check the box for Summary Statistics under Options to obtain basic summary statistics for \(x\) and \(y\).)

b. Using the formulas for the slope and the \(y\)-intercept or software, find the regression line.

c. The se of the slope estimate is 364.21 . Test the null hypothesis that these variables are independent, using a significance level of 0.05 .

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Investment Rate of Interest 4000 4.0 7000 5.0 8000 6.0 9000 9.0