50. FILE Mr. William Profit is studying companies going public for the first time. He is particu- larly 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 24PPS
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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.

50. FILE Mr. William Profit is studying companies going public for the first time. He is particu-
larly 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
($ mllons),
per Share,
($ milons),
per Share,
Company
y
Company
y
1
9.0
10.8
160.7
11.3
94.4
11.3
10
96.5
10.6
27.3
11.2
11
83.0
10.5
4
179.2
11.1
12
23.5
10.3
71.9
11.1
13
58.7
10.7
6.
97.9
11.2
14
93.8
11.0
93.5
11.0
15
34.4
10.8
8
70.0
10.7
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 be satisfied
with using the size of the offering as the independent variable?
Transcribed Image Text:50. FILE Mr. William Profit is studying companies going public for the first time. He is particu- larly 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 ($ mllons), per Share, ($ milons), per Share, Company y Company y 1 9.0 10.8 160.7 11.3 94.4 11.3 10 96.5 10.6 27.3 11.2 11 83.0 10.5 4 179.2 11.1 12 23.5 10.3 71.9 11.1 13 58.7 10.7 6. 97.9 11.2 14 93.8 11.0 93.5 11.0 15 34.4 10.8 8 70.0 10.7 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 be satisfied with using the size of the offering as the independent variable?
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