Binge-watching a television show might not be the best way to enjoy a television series (Horvath, Horton, Lodge, & Hattie, 2017). Participants who binge-watched a television series enjoyed the show less than participants who watched the series in daily sessions. In the study, one group watched the complete television series in a single session and the other group watched the show in daily, one-hour sessions. After watching the series, each group rated their enjoyment of the series on a scale of 0-100. Data like those observed by the authors are listed below. IT Binge-watched Daily-watched 87 84 71 100 73 87 86 97 78 92 Convert the data from this problem into a form suitable for the point-biserial correlation (use 1 for the binge-watching participants and 0 for participants who watched the show in daily sessions), and then compute the correlation. ΣΧ ΣΥ ΣΧΥ SSx SSy SP Square the value of the point-biserial correlation to obtain r2. r2 = An independent-samples t test for the difference between the means of the two groups produced t = -2.94 with df = 8. Use the equation to compute the value of r2 directly from the t statistic and its df. r2 = Within rounding error, this value of r2 should be equal to the value obtained from the point-biserial correlation.
Binge-watching a television show might not be the best way to enjoy a television series (Horvath, Horton, Lodge, & Hattie, 2017). Participants who binge-watched a television series enjoyed the show less than participants who watched the series in daily sessions. In the study, one group watched the complete television series in a single session and the other group watched the show in daily, one-hour sessions. After watching the series, each group rated their enjoyment of the series on a scale of 0-100. Data like those observed by the authors are listed below. IT Binge-watched Daily-watched 87 84 71 100 73 87 86 97 78 92 Convert the data from this problem into a form suitable for the point-biserial correlation (use 1 for the binge-watching participants and 0 for participants who watched the show in daily sessions), and then compute the correlation. ΣΧ ΣΥ ΣΧΥ SSx SSy SP Square the value of the point-biserial correlation to obtain r2. r2 = An independent-samples t test for the difference between the means of the two groups produced t = -2.94 with df = 8. Use the equation to compute the value of r2 directly from the t statistic and its df. r2 = Within rounding error, this value of r2 should be equal to the value obtained from the point-biserial correlation.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Binge-watching a television show might not be the best way to enjoy a television series (Horvath, Horton, Lodge, & Hattie, 2017). Participants who
binge-watched a television series enjoyed the show less than participants who watched the series in daily sessions. In the study, one group watched
the complete television series in a single session and the other group watched the show in daily, one-hour sessions. After watching the series, each
group rated their enjoyment of the series on a scale of 0-100. Data like those observed by the authors are listed below.
Binge-watched
Daily-watched
87
84
71
100
73
87
86
97
78
92
Convert the data from this problem into a form suitable for the point-biserial correlation (use 1 for the binge-watching participants and 0 for
participants who watched the show in daily sessions), and then compute the correlation.
ΣΧ
ΣΥ
ΣΧΥ
SSx
SSy
SP
Square the value of the point-biserial correlation to obtain r2.
r2 =
An independent-samples t test for the difference between the means of the two groups produced t = -2.94 with df = 8. Use the equation to compute
the value of r2 directly from the t statistic and its df.
r2 =
Within rounding error, this value of r2 should be equal to the value obtained from the point-biserial correlation.
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