Student Absences and Grades on the Final ExamDr. V. noticed that the more frequently a student is late or absent from class the worse he or she performs on the final exam. He decided to investigate. Dr. V. collected a random sample of 22 students. This sample includes the number of times a student is absent and their grades on the final exam. The data can be found in the Excel file Assignment10_R1.xlsx on the Exercise1_Excel_Built-in f. worksheet. Do not use any software that I did not assign.Calculate the correlation coefficient, r, using Excel’s CORREL function. Explain what it means. Calculate the coefficient of determination, r2, using Excel’s RSQ function. Explain what it means.. AВDEAlpha0.05 givengiven=B2-2|=T.INV.2T(B1,B3)='Exercise1_Excel_Built-In f.'!E4|='Exercise1_Excel_Built-In f.'!E5Vn-2t=3df4CV t52V1-r²6.7=(B5*SQRT(B3))/SQRT(1-B6)=TDIST(ABS(B8), B3,2)8.9p-value10 ABDFTimesLate/Final Exam1AbsentGradeAnswerFormulal-COUNT(A2:A23)84.0092.502132df=E2-2431646.00Coefficient of Correlation, r=CORREL(B2:B23,C2:C23)93.00 Coefficient of Determination, r?=RSQ(C2:C23,B2:B23)542651195.50Mean of Late/Absent=AVERAGE(B2:B23)762420.00Std. Dev. Of Late Absent=STDEV.S(B2:B23)8.7739.00Mean of Final Exam=AVERAGE(C2:C23)1046.00Std. Dev. Of Final Exam=STDEV.S(C2:C23)1091963.0073.5098.001110212 11213121724.5014 1373.0069.50815 142016 151949.0017 162368.5018 1770.0019 18475.5020 19278.0021 20797.0022 212100.0023 22293.50

Number of Observations: 22 Using excel built-in functions to solve the above linear regression problem. Times Late/Absent Final Exam Grade Answer Formula 1 4 84 n 22 2 6 92.5 df 20 3 16 46 Coefficient of Correlation,r -0.65985 4 2 93 Coefficient of Determination, r^2 0.435404 5 11 95.5 Mean of Late/Absent 9.681818 6 24 20 Std. Dev. Of Late Absent 24.03798 7 7 39 Mean of Final Exam 70.40909 8 10 46 Std. Dev. Of Final Exam 24.03798 9 19 63 10 2 73.5 11 2 98 12 17 24.5 13 8 73 14 20 69.5 15 19 49 16 23 68.5 17 6 70 18 4 75.5 19 2 78 20 7 97 21 2 100 22 2 93.5 Alpha 0.05 n 22 df 20 CV t -1.72472 r -0.65985 r^2 0.435404 t -3.92729 p value 0.0008341. We can see that r = -0.65985 The negative correlation coefficient tells us that there exists an inverse relationship between the two variables that is when one increases the other decreases. In this case as the frequency of a student being late or absent increases their grades in their final exam decreases. 2. We can see that r2 = 0.4354 = 43% This means that the proportion of variability explained by our model is 43% which means our model needs more improvement.

Answered: A B F Times Late/ Final Exam 1 Absent…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Student Absences and Grades on the Final Exam

Dr. V. noticed that the more frequently a student is late or absent from class the worse he or she performs on the final exam. He decided to investigate. Dr. V. collected a random sample of 22 students. This sample includes the number of times a student is absent and their grades on the final exam. The data can be found in the Excel file Assignment10_R1.xlsx on the Exercise1_Excel_Built-in f. worksheet. Do not use any software that I did not assign.

Calculate the correlation coefficient, r, using Excel’s CORREL function. Explain what it means.

Calculate the coefficient of determination, r², using Excel’s RSQ function. Explain what it means..

A
В
D
E
Alpha
0.05 given
given
=B2-2
|=T.INV.2T(B1,B3)
='Exercise1_Excel_Built-In f.'!E4
|='Exercise1_Excel_Built-In f.'!E5
Vn-2
t=
3
df
4
CV t
5
2
V1-r²
6.
7
=(B5*SQRT(B3))/SQRT(1-B6)
=TDIST(ABS(B8), B3,2)
8.
9
p-value
10

A
B
D
F
Times
Late/
Final Exam
1
Absent
Grade
Answer
Formula
l-COUNT(A2:A23)
84.00
92.50
2
1
3
2
df
=E2-2
4
3
16
46.00
Coefficient of Correlation, r
=CORREL(B2:B23,C2:C23)
93.00 Coefficient of Determination, r?
=RSQ(C2:C23,B2:B23)
5
4
2
6
5
11
95.50
Mean of Late/Absent
=AVERAGE(B2:B23)
7
6
24
20.00
Std. Dev. Of Late Absent
=STDEV.S(B2:B23)
8.
7
7
39.00
Mean of Final Exam
=AVERAGE(C2:C23)
10
46.00
Std. Dev. Of Final Exam
=STDEV.S(C2:C23)
10
9
19
63.00
73.50
98.00
11
10
2
12 11
2
13
12
17
24.50
14 13
73.00
69.50
8
15 14
20
16 15
19
49.00
17 16
23
68.50
18 17
70.00
19 18
4
75.50
20 19
2
78.00
21 20
7
97.00
22 21
2
100.00
23 22
2
93.50

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