the regression analysis shown charactorize the relationship between the gpa and

Question

the regression analysis shown charactorize the relationship between the gpa and the independent variable average hours per week studied. a reasonablely accurate predictions would be that

a. if average hours studied is 35 hours .gpa will be aroung 2.58.

b.   if average hours studied is 35 hours .gpa will be aroung 1.05.

c.   if average hours studied is 35 hours .gpa will be aroung 63.03.

d. if average hours studied is 35 hours .gpa will be aroung 2.85.

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 0.00

Explanation / Answer

Answer) Here, GPA is the dependent variable and

                        The average hours per week studied is an independent variable.

Depending upon the output from the above excel result,we can set up the regression equation is:

                                                        Y = 1.8 + 0.03X -------------------(1)

Suppose, if the average hours studied is 35 hours then we need to compute GPA.

Substituting X as 35, Y becomes Y = 1.8 + 0.03(35)

                                                     Y = 1.8 + 1.05

                                                      Y = 2.85

So, if the average hours studied is 35 hours then GPA will be around 2.85

So, option D is correct.

                                                

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