A company gives prospective managers four separate tests for judging their potential. For a sample of 30 managers, the test scores and the subsequent job effectiveness ratings (Rating) given one year later are listed in the file P11_47.xlsx.

a. Look at scatterplots and the table of correlations for these five variables. Does it appear that a multiple regression equation for Rating, with the test scores as explanatory variables, will be successful? Can you foresee any problems in obtaining accurate estimates of the individual regression coefficients?