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.Discuss the implications of the calculated Statistical Power and the probability of a Type II Error.Significance Level: Use a 5% significance level. What is/are the Critical Value(s)?Calculate the coefficient of determination, r2, using Excel’s RSQ function. Explain what it means. ADEAlpha0.05 givenVn-2t=22 given20 =B2-23dfCV t2.0860 =T.INv.2T(B1,B3)4-0.6599 ='Exercise1_Excel_Built-In f.'!E40.43545|='Exercise1_Excel_Built-In f.'!E52V1-r²6.7-3.92729 =(B5*SQRT(B3))/SQRT(1-B6)p-value 0.000834 =TDIST(ABs(B8),B3,2)8.910 ABDFTimesLate/Final Exam1AbsentGradeFormulaAnswer22l-COUNT(A2:A23)84.0092.5021n32df21=E2-2431646.00Coefficient of Correlation, r -0.6599 =CORREL(B2:B23,C2:C23)93.00 Coefficient of Determination, r? 0.4354=RSQ(C2:C23,B2:B23)542=AVERAGE(B2:B23)Mean of Late/Absent 9.6818Std. Dev. Of Late Absent 7.6244651195.50762420.00=STDEV.S(B2:B23)8.7739.00Mean of Final Exam 70.4091=AVERAGE(C2:C23)1046.00Std. Dev. Of Final Exam24.0380=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

1) If there is an impact to be identified, statistical power is the likelihood of discovering it in…

Answered: Dr. V. noticed that the more frequently…

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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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.

Discuss the implications of the calculated Statistical Power and the probability of a Type II Error.

Significance Level: Use a 5% significance level. What is/are the Critical Value(s)?
Calculate the coefficient of determination, r², using Excel’s RSQ function. Explain what it means.

A
D
E
Alpha
0.05 given
Vn-2
t=
22 given
20 =B2-2
3
df
CV t
2.0860 =T.INv.2T(B1,B3)
4
-0.6599 ='Exercise1_Excel_Built-In f.'!E4
0.4354
5
|='Exercise1_Excel_Built-In f.'!E5
2
V1-r²
6.
7
-3.92729 =(B5*SQRT(B3))/SQRT(1-B6)
p-value 0.000834 =TDIST(ABs(B8),B3,2)
8.
9
10

A
B
D
F
Times
Late/
Final Exam
1
Absent
Grade
Formula
Answer
22
l-COUNT(A2:A23)
84.00
92.50
2
1
n
3
2
df
21
=E2-2
4
3
16
46.00
Coefficient of Correlation, r -0.6599 =CORREL(B2:B23,C2:C23)
93.00 Coefficient of Determination, r? 0.4354
=RSQ(C2:C23,B2:B23)
5
4
2
=AVERAGE(B2:B23)
Mean of Late/Absent 9.6818
Std. Dev. Of Late Absent 7.6244
6
5
11
95.50
7
6
24
20.00
=STDEV.S(B2:B23)
8.
7
7
39.00
Mean of Final Exam 70.4091
=AVERAGE(C2:C23)
10
46.00
Std. Dev. Of Final Exam
24.0380
=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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