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.     Size Price   Size Price   ($ millions), per Share,   ($ millions), per Share, Company x y Company x y 1 9.0   10.8   9   160.7   11.3   2 94.4   11.3   10   96.5   10.6   3 27.3   11.2   11   83.0   10.5   4 179.2   11.1   12   23.5   10.3   5 71.9   11.1   13   58.7   10.7   6 97.9   11.2   14   93.8   11.0   7 93.5   11.0   15   34.4   10.8   8 70.0   10.7                       a. Determine the regression equation. (Round your answers to 4 decimal places.)         b-1. To determine if the slope of the regression line is positive, state the decision rule for 0.05 significance level: H0: β ≤ 0;  H1: β > 0. (Round your answer to 3 decimal places.)         b-2. Compute the value of the test statistic. (Round your answer to 2 decimal places.)

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Exercise 13-50 (LO13-6)

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.

 

  Size Price   Size Price
  ($ millions), per Share,   ($ millions), per Share,
Company x y Company x y
1 9.0   10.8   9   160.7   11.3  
2 94.4   11.3   10   96.5   10.6  
3 27.3   11.2   11   83.0   10.5  
4 179.2   11.1   12   23.5   10.3  
5 71.9   11.1   13   58.7   10.7  
6 97.9   11.2   14   93.8   11.0  
7 93.5   11.0   15   34.4   10.8  
8 70.0   10.7              
 

 

 

 

a. Determine the regression equation. (Round your answers to 4 decimal places.)

 

 

 

 

b-1. To determine if the slope of the regression line is positive, state the decision rule for 0.05 significance level: H0: β ≤ 0;  H1: β > 0. (Round your answer to 3 decimal places.)

 

 

 

 

b-2. Compute the value of the test statistic. (Round your answer to 2 decimal places.)

 

 

 

 

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