Question
An analyst for an investment company wants to develop a regression model to predict the annual rate of return for a stock based on the
An analyst for an investment company wants to develop a regression model to predict the annual rate of return for a stock based on the price-earnings (PE) ratio of the stock and a measure of the stock's risk. The data found in below were collected for a random sample of stocks.
PE Ratio | Risk | Return |
---|---|---|
7.2 | 0.9 | 7.5 |
10.9 | 1.2 | 12.9 |
8.5 | 1 | 8.8 |
11 | 1.1 | 10.8 |
11.4 | 1.6 | 12 |
12 | 1.2 | 12.7 |
12.3 | 1.1 | 11.2 |
12.3 | 1.2 | 14 |
12.8 | 1.5 | 14.7 |
13.2 | 1.3 | 16.6 |
Let Y = Return, X1 = PE Ratio, and X2 = Risk. Obtain the regression results for the following regression model:
i = b0i + b1X1i + b2X2i
(A) Report the estimated regression equation you found. (Enter your answer using X1 for X1i and X2 for X2i. Round your numerical values to five decimal places.)
i =(???)
(B) Interpret the value of R2 for this model. (Express R2 as a percent. Round your answer to two decimal places.)
The value of R2 suggests that (???) % of variation in returns can be accounted for using this model.
(C) Obtain the regression results for the following regression model:
i = b0 + b1X1i + b2X2i + b3X3i + b4X4i
where
X3i = X1i2
and
X4i = X2i2.
Report the estimated regression equation you found. (Enter your answer using X1 for X1i, X2 for X2i, X3 forX3i, and X4 for X4i. (Round your numerical values to five decimal places.)
i =(???)
(D) Interpret the value of R2 for this model. (Express R2 as a percent. Round your answer to two decimal places.)
The value of R2 suggests that (???) % of variation in returns can be accounted for using this model.
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