Respuesta :
The correct answer is : Multiple R = 0.5049 (correlation coefficient )
What is Correlation Coefficient ?
The correlation coefficient of the relationship between the average weekly hours spent studying and the score on the final exam can be determined/calculated via the relationship between the average weekly hours spent studying and the score of the final exam.
To find the correlation coefficient we will find the square root of R squared :
[tex]\sqrt{R - SQUARED}[/tex] [tex]=[/tex] [tex]\sqrt{0.2549}[/tex] [tex]=[/tex] [tex]0.5049[/tex]
Remember that for single variable linear regression, Multiple R, which is the square root of R2, is equal to the absolute value of the correlation coefficient. The regression coefficient for Average Weekly Hours Studying (0.03, as shown in the bottom table of the output) is positive, so the slope is of the regression line is positive. Therefore, the correlation coefficient must also be positive.
Your question is incomplete, but most probably your full question was:
SUMMARY OUTPUT
Dependent Variable: Score on Final Exam
Regression Statistics
Multiple R 0.5049
R Square 0.2549
Adjusted R Square 0.2394
Standard Error 0.15
Observations 50
ANOVA
df SS MS F Significance F Regression 1 0.36 0.36 16.42 0.0002
Residual 48 1.05 0.02
Total 49 1.41
Coefficients Standard t Stat P-Value Lower Upper
Error 95% 95%
Intercept 0.57 0.03 20.57 0.0000 0.52 0.63
Average Weekly
Hours Studying 0.03 0.01 4.05 0.0002 0.01 0.04
Therefore, we can conclude that the is : Multiple R = 0.5049 (correlation coefficient )
Learn more about Correlation Coefficient on:
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