Mr. Keagan Profit is studying companies going public for the first time. He is particularly interested in the relationship between the size of the offering and the price per share. 

a. Determine the regression equation.
b. Conduct a test to determine whether the slope of the regression line is positive.
c. Determine the coefficient of determination. Do you think Mr. Profit should use the regression equation to accurately predict price per share? Why?

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Company 1 2 345678 Size ($ millions), X 9.0 94.4 27.3 179.2 71.9 97.9 93.5 70.0 Price per Share, y 10.8 11.3 11.2 11.1 11.1 11.2 11.0 10.7 Company 9 10 11 12 13 14 15 Size ($ millions), 160.7 96.5 83.0 23.5 58.7 93.8 34.4 Price per Share, y 11.3 10.6 10.5 10.3 10.7 11.0 10.8