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13-14-1-15. Question 2 [25] 2.1 The following table contains the ACT scores and GPA (grade point average) for 15 college students Student GPA ACT (y) 1 2.8 21 2 3.4 24 3 3.0 26 4 3.5 27 3.6 29 3.0 25 2.7 25 5 6 7 8 9 3.7 30 3.2 23 10 3.0 28 11 3.5 30 12 2.5 20 13 3.8 32 14 2.6 26 15 2.7 23 (1) Calculate and complete the table for necessary columns (14) (2) From the table above calculate Bo. (3) (3) From the table above calculate B1 (3) (4) Estimate the relationship between GPA and ACT (2) (3) (5) Predict the value of GPA when ACT is 32

Answer

2) We can see B0 = 0.673602

3) We can see B1 = 0.094848

4) So the regression line is as follows –

GPA = 0.6736 + 0.0948 ACT

So this depicts that there is a positive relationship between GPA and ACT .

5) Hence ACT = 32 ,

GPA = 0.6736 + 0.0948 *32

GPA = 3.70

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