A finance executive would like to determine if a relationship exists between the current earnings…

A finance executive would like to determine if a relationship exists between the current earnings per share (EPS) of a bank and the following independent variables:

• Total assets (\$ billions)

• Previous period’s EPS

• Previous period’s return on average assets (ROAA)

• Previous period’s return on average equity (ROAE) ROAA measures how effectively assets are utilized, and ROAE measures a firm’s profitability. The Excel file Bank EPS.xlsx contains these data for several banks.

a. Construct a regression model using all four independent variables.

b. Interpret the meaning of the regression coefficients.

c. Predict the average EPS for a bank that has \$2.6 billion in total assets and the following results from the previous period: ROAA = 1.5%, EPS = \$1.80, ROAE = 8%.

d. Construct a 95% confidence interval for the average EPS for a bank described in part c. Interpret the meaning of the interval.

e. Construct a 95% prediction interval for the EPS for a bank described in part c. Interpret the meaning of the interval.

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