A financial analyst is examining the relationship between stock prices and earnings per share. She chooses sixteen publicly traded companies at random and records for each the company's current stock price and the company's earnings per share reported for the past 12 months. Her data are given below, with x denoting the earnings per share from the previous year, and y denoting the current stock price (both in dollars). Based on these data, she computes the least-squares regression line to be ŷ =−0.2390+0.044x. This line, along with a scatter plot of her data, is shown below.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter7: Exponents And Exponential Functions
Section: Chapter Questions
Problem 68SGR
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A financial analyst is examining the relationship between stock prices and earnings per share. She chooses sixteen publicly traded companies at random and records for each the company's current stock price and the company's earnings per share reported for the past 12 months. Her data are given below, with x denoting the earnings per share from the previous year, and y denoting the current stock price (both in dollars). Based on these data, she computes the least-squares regression line to be ŷ =−0.2390+0.044x. This line, along with a scatter plot of her data, is shown below.  

 

 

 

sna
(in dollars)
38.13
18.58
34.23
51.12
31.30
59.13
16.06
38.12
25.41
50.15
42.04
41.03
42.06
price, y
(in dollars)
1.11
0.62
1.54
2.53
1.38
2.78
0.73
1.45
1.06
1.58
1.42
1.11
1.75
Current stock price
(in dollars)
25+
2+
1.5
0.5
0
10
X
XX
Earnings per share
Transcribed Image Text:sna (in dollars) 38.13 18.58 34.23 51.12 31.30 59.13 16.06 38.12 25.41 50.15 42.04 41.03 42.06 price, y (in dollars) 1.11 0.62 1.54 2.53 1.38 2.78 0.73 1.45 1.06 1.58 1.42 1.11 1.75 Current stock price (in dollars) 25+ 2+ 1.5 0.5 0 10 X XX Earnings per share
21.36
28.35
58.97
Send data to calculator
0.58
0.69
2.25
Send data to Excel
Based on the analyst's data and regression line, answer the following.
(in dollars)
(a) What was the observed current stock price (in dollars) when the earnings per share was 38.13 dollars?
(b) From the regression equation, what is the predicted current stock price (in dollars) when the earnings per share is
38.13 dollars? Round your answer to two or more decimal places.
Transcribed Image Text:21.36 28.35 58.97 Send data to calculator 0.58 0.69 2.25 Send data to Excel Based on the analyst's data and regression line, answer the following. (in dollars) (a) What was the observed current stock price (in dollars) when the earnings per share was 38.13 dollars? (b) From the regression equation, what is the predicted current stock price (in dollars) when the earnings per share is 38.13 dollars? Round your answer to two or more decimal places.
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