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Mr. William 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 sample of 15 companies that recently went public revealed the following information.
Company Size ($ millions), X Price per Share, Y Company Size ($ millions), X Price per Share Y
1 9.0 10.8 9 160.7 11.32 94.4 11.3 10 96.5 10.63 27.3 11.2 11 83.0 10.54 179.2 11.1 12 23.5 10.35 71.9 11.1 13 58.7 10.76 97.9 11.2 14 93.8 11.07 93.5 11.0 15 34.4 10.88 70.0 10.7
Determine the regression equation.
Determine the coefficient of determination. Do you think Mr. Profit should be satisfied with using the size of the offering as the independent variable?
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