Mean 1 = 17, SD 1=7.89 Mean 2= 89, SD 2= 6.69 R = -0.84 What is the proportion of variance shared between the two variables? (How much of the variance in one variable can be predicted by the variance in the other variable?)

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Mean 1 = 17, SD 1=7.89 Mean 2= 89, SD 2= 6.69 R = -0.84 What is the proportion of variance shared between the two variables? (How much of the variance in one variable can be predicted by the variance in the other variable?)
(Round calculated results to the hundredth (2nd place to the right of the decimal) when result extends
beyond that unless otherwise noted).
It is generally believed that there is a relationship between a college's acceptance rate and its
graduation rate. I wanted to know how strong this relationship is within the top universities in the
country, so I collected the graduation rate and acceptance rate data of a randomly selected sample of
universities from all the top U.S. universities (with an acceptance rate at or below 30%). The data set is
in Tab Q2 of the Excel data file.
Ola Create a scatter plot between the two variables using Excel. Paste the plot here and format it into
Transcribed Image Text:(Round calculated results to the hundredth (2nd place to the right of the decimal) when result extends beyond that unless otherwise noted). It is generally believed that there is a relationship between a college's acceptance rate and its graduation rate. I wanted to know how strong this relationship is within the top universities in the country, so I collected the graduation rate and acceptance rate data of a randomly selected sample of universities from all the top U.S. universities (with an acceptance rate at or below 30%). The data set is in Tab Q2 of the Excel data file. Ola Create a scatter plot between the two variables using Excel. Paste the plot here and format it into
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College ID Accept rate (%) Grad rate (%)
1
5
96
5
97
6
95
8
98
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96
10
94
15
85
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93
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84
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92
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89
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96
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90
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86
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85
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76
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86
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84
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18
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7222
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23
34
24
568LOSA EN
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7
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28
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Transcribed Image Text:1 2 3 4 5 6 7 8 A B C College ID Accept rate (%) Grad rate (%) 1 5 96 5 97 6 95 8 98 10 96 10 94 15 85 15 93 15 84 16 92 18 89 18 96 20 90 20 86 24 85 25 76 25 86 80 78 84 9 10 11 12 13 14 15 16 17 18 19 20 7222 21 22 23 34 24 568LOSA EN 2 3 4 7 9 10 11 12 13 14 15 16 17 18 19 20 28 28 29
Expert Solution
Step 1

Obtain the value of the correlation.

The value of the correlation is obtained below as follows:

From the given information, the value of correlation coefficeint (r)=-0.84.

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