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 elot of her data is shown in Figure 1. Earnings per share, x (in dollars) Current stock price, y (in dollars) 18.49 0.80 58.47 2.81 32.28 0.82 14.44 0.55 20.73 0.51 42.87 1.62 37.71 1.11 41.77 1.17 40.72 1.92 48.47 1.62 57.57 2.37 31.51 1.72 Earnings per share (in dollars) 27.80 1.08 Figure 1 39.04 1.47 28.27 1.24 Send data to calculator v The value of the sample correlation coefficient 7 for these data is approximately 0.881. Answer the following. Carry your intermediate computations to at least four decimal places, and round your answers as specified below. (If necessary, consult ist of formulas.) (0) ») What is the value of the glepe of the least-sguares regression line for these data? Round your answer to at least three decimal places. (b) What is the value of the y-intercept of the least-squares regression line for these data? Round your answer to at least three decimal places. Current sta ck price (surep u)
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 elot of her data is shown in Figure 1. Earnings per share, x (in dollars) Current stock price, y (in dollars) 18.49 0.80 58.47 2.81 32.28 0.82 14.44 0.55 20.73 0.51 42.87 1.62 37.71 1.11 41.77 1.17 40.72 1.92 48.47 1.62 57.57 2.37 31.51 1.72 Earnings per share (in dollars) 27.80 1.08 Figure 1 39.04 1.47 28.27 1.24 Send data to calculator v The value of the sample correlation coefficient 7 for these data is approximately 0.881. Answer the following. Carry your intermediate computations to at least four decimal places, and round your answers as specified below. (If necessary, consult ist of formulas.) (0) ») What is the value of the glepe of the least-sguares regression line for these data? Round your answer to at least three decimal places. (b) What is the value of the y-intercept of the least-squares regression line for these data? Round your answer to at least three decimal places. Current sta ck price (surep u)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2CYU
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Transcribed Image Text: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.
Earnings per share, x
(in dollars)
Current stock price, y
(in dollars)
18.49
0.80
58.47
2.81
32.28
0.82
3+
14.44
0.55
254
20.73
0.51
2-
42.87
1.62
37.71
1.11
41.77
1.17
40.72
1.92
48.47
1.62
57.57
2.37
10
20
30
40
31.51
1.72
Earnings per share
(in dollars)
27.80
1.08
Figure 1
39.04
1.47
28.27
1.24
Send data to calculator
The value of the sample correlation coefficient r for these data is approximately 0.881.
Answer the following. Carry your intermediate computations to at least four decimal places, and round your answers as specified below. (If necessary, consult a
list of formulas.)
(a) What is the value of the slope of the least-squares regression line for these data?
Round your answer to at least three decimal places.
(b) what is the value of the y-intercept of the least-squares regression line for these data?
Round your answer to at least three decimal places.
Current sto ck price
(in dellars)
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