(I have answered 1 a) but I don't understand b) I have given you the table and will provide you with scatter plot with the best fit line) A particular MDM4U class had a large number of absences. Please see the attached data table, which lists each student’s midterm mark and their number of absences over the whole semester.   overall absences midterm mark 16 79 4 90 17 72 26 80 22 63 15 78 17 75 2 96 4 84 19 93 12 78 27 70 20 72 22 78 15 84 18 70 7 87 19 66 24 66 26 42 15 84 28 72 10 81 31 24 29 60 0 96 14 81 13 84 6 90 2 93 18 87 4 96 34 30 14 72 On a spreadsheet, perform a linear regression analysis (i.e. draw a best-fit line). Comment on the sign and the strength of the correlation coefficient. Use one sentence to explain its meaning using the variables in this particular context.     The sign of the correlation coefficient is negative at -0.7963 the correlation coefficient value show that the two values are strongly correlated if there are more absences then the student will not learn the coarse perfectly and this will result in a bad mark (when one variable increases the other decreases.  b) How do we know if this model is a good fit to the data? Then, assuming the model is good enough, Bob has a midterm mark of _____ (pick a two-digit integer). How many Bob’s absences does the model predict?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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(I have answered 1 a) but I don't understand b) I have given you the table and will provide you with scatter plot with the best fit line)

  1. A particular MDM4U class had a large number of absences. Please see the attached data table, which lists each student’s midterm mark and their number of absences over the whole semester.

 

overall absences

midterm mark

16

79

4

90

17

72

26

80

22

63

15

78

17

75

2

96

4

84

19

93

12

78

27

70

20

72

22

78

15

84

18

70

7

87

19

66

24

66

26

42

15

84

28

72

10

81

31

24

29

60

0

96

14

81

13

84

6

90

2

93

18

87

4

96

34

30

14

72




  1. On a spreadsheet, perform a linear regression analysis (i.e. draw a best-fit line). Comment on the sign and the strength of the correlation coefficient. Use one sentence to explain its meaning using the variables in this particular context. 

 

 The sign of the correlation coefficient is negative at -0.7963

the correlation coefficient value show that the two values are strongly correlated if there are more absences then the student will not learn the coarse perfectly and this will result in a bad mark (when one variable increases the other decreases. 



b) How do we know if this model is a good fit to the data? Then, assuming the model is good enough, Bob has a midterm mark of _____ (pick a two-digit integer). How many Bob’s absences does the model predict?

midterm mark vs. overall absences
midterm mark
100
75
50
25
0
0
-0.7963298757
Correlation coefficient
10
Trendline for series 1 R² = 0.634
overall absences
20
30
Transcribed Image Text:midterm mark vs. overall absences midterm mark 100 75 50 25 0 0 -0.7963298757 Correlation coefficient 10 Trendline for series 1 R² = 0.634 overall absences 20 30
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