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.)
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.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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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