Question 4) The following is information about the number of hour freshman nursing student studies and the grade that they receive in Statistics course: (Each part 3 points total 18 points)

Number of hours study (x): 1, 2, 3, 3, 4, 4, 5, 5, 6, 7

Grade (Y):60, 65, 75, 74, 80, 80, 85, 85, 90, 95

a)Fit a model of grade as predicted by number of hours study (write the prediction equation).

1.Prediction Equation: Grade = 55.43 - 5.87 X (Number of hours Study)

2.Prediction Equation: Grade = 55.43 + 5.87 X (Number of hours Study)

b)Explain residual versus predicted plot:

1.The plots (residual versus predicted value) show that there is no pattern suggesting specification of errors.

2.The plots (residual versus predicted value) show that there is some pattern suggesting specification of errors.

c)Test if your slope is significant (H0 = beta =0).

1.Since our P value <.0001 is less than alpha .05 we reject null and conclude that the slope is different from 0. This means there is linear relationship between hours of study and grade.

2.Since our P value <.0001 is less than alpha .05 we fail to reject null and cannot conclude that the slope is different from 0. This means there is no linear relationship between hours of study and grade.

d)What is the R² and Adjusted R² from ANOVA table?

1..89

2..78

3..85

4..98

e)What is the 95% confidence interval for slope?

1.5.27 and 6.47

2.3.1 and 5.3

3.11.30 and 13.54

4.None of above

f)What would be the grade for someone who study 3.5 hours?

1.65.98

2.75.98

3.98.75

4.72.35