The LSAT is a standardized test required for entrance to most law schools. The high LSAT score for admitted students and the percentage of students passing the bar exam immediately after law school graduation for a sample of law schools is found on this text’s website.

a. Do law schools that have high LSAT-scoring students also have a higher rate of students who pass the bar exam? Make a graph and report whether the trend is linear. Interpret the association if any. If the trend is not linear, comment on what it shows and do not go on to part (b).

b. If the trend is linear, do the following:

I. Write the regression equation.

II. Interpret the slope of the regression equation.

III. Interpret the y-intercept of the regression equation or explain why it would be inappropriate to do so.

IV. Find and interpret the value of the coefficient of determination.

V. Use the regression equation to predict the percent of students employed at graduation for a law school with a high LSAT score for admitted students of 150.