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Registrar's Office collected records from n = 25 students that included a control variable = X showing how many class sessions they did not attend

Registrar's Office collected records from n = 25 students that included a control variable = X showing how many class sessions they did not attend and response = Y, which was a course grade measured in a 100-point scale.

Sample summaries included means, standard deviations, and correlation between X and Y. They are shown below.

Means were: X = 5.6 and Y = 63.2

Standard Deviations were: S[X] = 4.6 and S[Y ] = 18.4

Correlation was: R = R[X, Y ] = 0.75

1. Derive coefficients for a fitted line equation, Y = a + b X.

2. Jenny missed X = 4 sessions and her course grade was Y = 70. Find the fitted value for observed pair (X = 4, Y = 70) and determine whether this record was ABOVE or BELOW the fitted line.

3. Bob missed X = 5 class sessions and his course grade was Y = 57.

Find the fitted value for observed pair (X = 5, Y = 57) and determine whether this record was ABOVE or BELOW the fitted line.

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