to see i he number of hour predictor of the student's G ahead and performs the reg regression printout. Describ 1" label means.

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6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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ABC University uses data from a random sample of students in a regression analysis
to see i he number of hours a student spends playing video games weekly (x) is a
predictor of the student's GPA (y) at the end of the term. An intern for ABC goes
ahead and performs the regression using Excel. Examine the following Excel
regression printout. Describe what the value -0.0292...in the cell next to "X Variable
1" label means.
SUMMARY OUTPUT
Regression Statistics
Multiple R
R Square
Adjusted R Square
0.709640286
0.503589336
0.45394827
Standard Error
0.552383099
Observations
12
ANOVA
df
SS
MS
Regression
3.095395785 3.09539579 28 72.28745
Residual
10
3.051270881 0.3051270937
Total
11
6.146666667
Coefficients Standard Error
t Stat
P-value
Interce pt
X Variable 1
3.46198431
0.296274535 11.6850552 11 1.94E-10
-0.029275496
0.009191503 -3.1850607 37 6.88E-06
Regression should not be used on the data set.
The correlation coefficient is -0.0292 when rounded to 3 places.
The regression line has a positive slope.
The data is negatively correlated.
Transcribed Image Text:ABC University uses data from a random sample of students in a regression analysis to see i he number of hours a student spends playing video games weekly (x) is a predictor of the student's GPA (y) at the end of the term. An intern for ABC goes ahead and performs the regression using Excel. Examine the following Excel regression printout. Describe what the value -0.0292...in the cell next to "X Variable 1" label means. SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Square 0.709640286 0.503589336 0.45394827 Standard Error 0.552383099 Observations 12 ANOVA df SS MS Regression 3.095395785 3.09539579 28 72.28745 Residual 10 3.051270881 0.3051270937 Total 11 6.146666667 Coefficients Standard Error t Stat P-value Interce pt X Variable 1 3.46198431 0.296274535 11.6850552 11 1.94E-10 -0.029275496 0.009191503 -3.1850607 37 6.88E-06 Regression should not be used on the data set. The correlation coefficient is -0.0292 when rounded to 3 places. The regression line has a positive slope. The data is negatively correlated.
Expert Solution
Given

r = -0.7096

slope = -0.029

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