ABC University uses data from a random sample of students in a regression analysisto see i he number of hours a student spends playing video games weekly (x) is apredictor of the student's GPA (y) at the end of the term. An intern for ABC goesahead and performs the regression using Excel. Examine the following Excelregression printout. Describe what the value -0.0292...in the cell next to "X Variable1" label means.SUMMARY OUTPUTRegression StatisticsMultiple RR SquareAdjusted R Square0.7096402860.5035893360.45394827Standard Error0.552383099Observations12ANOVAdfSSMSRegression3.095395785 3.09539579 28 72.28745Residual103.051270881 0.3051270937Total116.146666667Coefficients Standard Errort StatP-valueInterce ptX Variable 13.461984310.296274535 11.6850552 11 1.94E-10-0.0292754960.009191503 -3.1850607 37 6.88E-06Regression 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.

Answered: to see i he number of hour predictor of…

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

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Polynomial Functions

Section3.5: Mathematical Modeling And Variation

Problem 2ECP

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Concept explainers

Power Operation

Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in representing the distance or size of particular heavenly body. In medical field, it is used to represent very small size. In medical field it helps to mention size of bacteria or virus.

Exponents

The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.

Question

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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