(Data file: water) Refer to the data described in Problem 1.5. For this problem, consider the regression problem with response BSAAM, and three predictors as regressors given by OPBPC, OPRC, and...

(Data file: water) Refer to the data described in Problem 1.5. For this problem, consider the regression problem with response BSAAM, and three predictors as regressors given by OPBPC, OPRC, and OPSLAKE.

Examine the scatterplot matrix drawn for these three regressors and the response. What should the correlation matrix look like (i.e., which correlations are large and positive, which are large and negative, and which are small)? Compute the correlation matrix to verify your results.

Get the regression summary for the regression of BSAAM on these three regressors. Explain what the “t-values” column of your output means.