A financial analyst is examining the relationship between stock prices and earnings per share. She chooses fifteen publicly traded companies at random andrecords 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 xdenoting the earnings per share from the previous year and y denoting the current stock price (both in dollars). A scatter plot of her data is shown in Figure 1.Also given is the product of the earnings per share and the current stock price for each of the fifteen stocks. (These products, written in the column labelled "xy", may aid in calculations.)Earnings perCurrent stockprice, y(in dollars)share, x(in dollars)xy37.591.1944.7321y56.022.70151.25420.210.7515.1575X41.330.9137.610319.900.6312.53758.722.37139.166443.331.4562.828542.611.7775.419713.720.527.134437.291.3951.83313030.120.9328.011649.341.5978.4506Earnings per share(in dollars)35.121.5755.1384Figure 130.781.2237.551626.041.1529.946Send data to calculator V Send data to ExcelWhat is the slope of the least-squares regression line for these data? Carry your intermediate computations to at least four decimal places and round youranswer to at least three decimal places. (If necessary, consult a list of formulas.)XŚ ?Current stock price(in dollars)3+2.5+1.5-1.0.5+0X60

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What is the slope of the least-squares regression line for these data? Carry your intermediate computations to at least four decimal places and round your answer to at least three decimal places. (If necessary, consult a list of formulas.) 0 3 ?

What is the slope of the least-squares regression line for these data? Carry your intermediate computations to at least four decimal places and round your answer to at least three decimal places. (If necessary, consult a list of formulas.) 0 3 ?

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 31EQ

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Question

A financial analyst is examining the relationship between stock prices and earnings per share. She chooses fifteen 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). A scatter plot of her data is shown in Figure 1.
Also given is the product of the earnings per share and the current stock price for each of the fifteen stocks. (These products, written in the column labelled "xy
", may aid in calculations.)
Earnings per
Current stock
price, y
(in dollars)
share, x
(in dollars)
xy
37.59
1.19
44.7321
y
56.02
2.70
151.254
20.21
0.75
15.1575
X
41.33
0.91
37.6103
19.90
0.63
12.537
58.72
2.37
139.1664
43.33
1.45
62.8285
42.61
1.77
75.4197
13.72
0.52
7.1344
37.29
1.39
51.8331
30
30.12
0.93
28.0116
49.34
1.59
78.4506
Earnings per share
(in dollars)
35.12
1.57
55.1384
Figure 1
30.78
1.22
37.5516
26.04
1.15
29.946
Send data to calculator V Send data to Excel
What is the slope of the least-squares regression line for these data? Carry your intermediate computations to at least four decimal places and round your
answer to at least three decimal places. (If necessary, consult a list of formulas.)
X
Ś ?
Current stock price
(in dollars)
3+
2.5+
1.5-
1.
0.5+
0
X
60

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