Please advise: I primarily need help with letters f through j. Please give a bri

Question

Please advise: I primarily need help with letters f through j.

Please give a brief explanation to explain your thought process. I need help clarifying the situation.

#1: Assistant Dean Adelaide Donaldson is investigating the relationship between the number of reported student absences and their performance in an introductory statistics course, as measured by their achievement on the standardized final exam in her college. She hopes to determine whether or not the two factors seem connected or associated to some non-trivial extent.  The following data was randomly collected from a randomly selected section of the course; let x represents the number of student absences from the statistics course, and y represents the score on the final exam in that course:

x

8

2

5

8

2

0

10

6

4

3

7

y

50

90

70

50

90

90

50

(f)    What percent of the variability in the data is attributable to the linear model that is evident in the regression equation?

(g)   What percent of the variability in the data is not attributable to the linear model that is evident in the regression equation?

(h)   Determine the equation of the trend line that reasonably models this data.

(i)     If a statistics student is absent once, what would be the anticipated or predicted final exam score, rounded off the answer to the nearest whole number if necessary?

(j)     If a statistics student is absent eight times, what would be the anticipated or predicted, not the actual or observed, final exam score, rounded off the answer to the nearest whole number if necessary?

Explanation / Answer

(f) The variability in the data is attributable to the linear model that is evident in the regression equation is 93.75%

(g) The variability in the data is not attributable to the linear model that is evident in the regression equation is 6.25%

(h) the equation of the trend line that reasonably models this data is y = -4.75X + 93.75

(i) If a statistics student is absent once, the anticipated or predicted final exam score would be 70.

(j) If a statistics student is absent eight times, the anticipated or predicted, not the actual or observed, final exam score would be 62

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