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). A scatter plot of her data is shown in Figure 1. Also given are the products of the values for earnings per share and current stock price values for each of the sixteen stocks. (These products, written in the column labelled "xy," may aid in calculations.) Earnings per share, x (in dollars) Current stock price, y (in dollars) ху 48.73 1.56 76.0188 16.50 0.82 13.53 41.75 1.89 78.9075 3+ 57.23 2.29 131.0567 2.5+ 30.62 0.97 29.7014 41.89 1.22 51.1058 14.05 0.56 7.868 33.36 1.66 55.3776 1.5+ 53.62 2.56 137.2672 1+ 25.65 0.89 22.8285 38.28 1.47 56.2716 0.5- 29.57 1.36 40.2152 38.20 1.10 42.02 40 10 20 50 59.09 2.83 167.2247 Figure 1 19.86 0.54 10.7244 44.14 1.48 65.3272 Send data to calculator v Send data to Excel Answer the following. Carry your intermediate computations to at least four decimal places, and round your answer as specified below. What is the value of the sample correlation coefficient for these data? Round your answer to at least three decimal places.

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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). A scatter plot of her data is shown in Figure 1.
Also given are the products of the values for earnings per share and current stock price values for each of the sixteen stocks. (These products, written in the
column labelled "xy," may aid in calculations.)
Earnings per
Current stock
price, y
(in dollars)
share, x
ху
(in dollars)
48.73
1.56
76.0188
16.50
0.82
13.53
41.75
1.89
78.9075
3+
57.23
2.29
131.0567
2.5+
30.62
0.97
29.7014
41.89
1.22
51.1058
2+
14.05
0.56
7.868
33.36
1.66
55.3776
1.5+
53.62
2.56
137.2672
1+
25.65
0.89
22.8285
38.28
1.47
56.2716
0.5+
29.57
1.36
40.2152
38.20
1.10
42.02
10
20
30
40
59.09
2.83
167.2247
Figure 1
19.86
0.54
10.7244
44.14
1.48
65.3272
Send data to calculator
Send data to Excel
Answer the following. Carry your intermediate computations to at least four decimal places, and round your answer as specified below.
What is the value of the sample correlation coefficient
for these data? Round your answer to at least three
decimal places.
Transcribed Image Text: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). A scatter plot of her data is shown in Figure 1. Also given are the products of the values for earnings per share and current stock price values for each of the sixteen stocks. (These products, written in the column labelled "xy," may aid in calculations.) Earnings per Current stock price, y (in dollars) share, x ху (in dollars) 48.73 1.56 76.0188 16.50 0.82 13.53 41.75 1.89 78.9075 3+ 57.23 2.29 131.0567 2.5+ 30.62 0.97 29.7014 41.89 1.22 51.1058 2+ 14.05 0.56 7.868 33.36 1.66 55.3776 1.5+ 53.62 2.56 137.2672 1+ 25.65 0.89 22.8285 38.28 1.47 56.2716 0.5+ 29.57 1.36 40.2152 38.20 1.10 42.02 10 20 30 40 59.09 2.83 167.2247 Figure 1 19.86 0.54 10.7244 44.14 1.48 65.3272 Send data to calculator Send data to Excel Answer the following. Carry your intermediate computations to at least four decimal places, and round your answer as specified below. What is the value of the sample correlation coefficient for these data? Round your answer to at least three decimal places.
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