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An educator wants to see how the number of absences for a student in her class affects the student's final grade. The data obtained from

An educator wants to see how the number of absences for a student in her class affects the student's final grade. The data obtained from a sample are shown.

Number of absences X

10

12

2

0

8

5

Final Grade Y

70

65

96

94

75

82

Let x=37; y=482; xy=2682; x2=337; y2=39526

a. (2 pts) Draw a scatter plot.

b. (3 pts) Compute the value of the correlation coefficient and interpret.

c. (3 pts) Test the significance of the correlation coefficient at = 0.05

d. (3 pts) If there is a significant relationship, determine the regression line equation.

e. (3 pts) Predict the grade of a student having 3 absences.

f. (3 pts) Calculate the standard error of estimate.

g. (3 pts) Find the 95% prediction interval when the student has 4 absences.

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