the regression analisys charactorize the relationship between the gpa and the in
ID: 3204037 • Letter: T
Question
the regression analisys charactorize the relationship between the gpa and the independent variable average hours per week studied: based on tyhe analysis we can conclude
a. for every increase of 1 hour in average of hours studied , the gpa increases by 0.03 points.
b. for every increase of 1 hour in average of hours studied , the gpa increases by 1.8 point.
c. for every increase of 0.03 hour in average of hours studied , the gpa increases by 1 point.
d. for every increase of 1.8 hour in average of hours studied , the gpa increases by 1 point.
Regression Statistics Multiple R 0.88 R Square 0.78 Adjusted R Square 0.73 Standard Error 0.34 Observations 22 Coefficie Standard nts Error t Stat P-value Intercept 1.8 0.21 9.08 0.00 Average number of hours studied 0.03 0.003 6.99 0.00Explanation / Answer
Answer) The dependent variable is GPA and
The independent variable is Average number of hours studied per week.
From the output obtained from Regression Analysis run in Excel, the equation can be set up as:
Y = 1.8 + 0.03*X
This is in the form Y = a + bX.
where, b represents a regression coefficient.
This regression coefficient represents a change occuring in Y for a unit change in X.
So, for every increase of 0.03 hour in average of hours studied, the gpa increases by 1 point.
So, option c) is the correct answer.
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