A study was conducted to explore the relationship of students' performance on a particular college mathematics achievement test (Y) to two factors. Factor 1 (X₁) is the teacher's rating (1-10, a higher rating means more effective) on the effectivity of strategies used in discussing the lesson related to the test. Factor 2 (X₂) on the other hand is the quality of mathematics background as reflected by the students' general weighted average in all mathematics courses undertaken in the senior high school. Here is the collected data. 7 1 10 5 7 45 386 Teachers Rating (X) SHS GWA (X₂) 75 80 79 91 94 87 93 75 81 92
A study was conducted to explore the relationship of students' performance on a particular college mathematics achievement test (Y) to two factors. Factor 1 (X₁) is the teacher's rating (1-10, a higher rating means more effective) on the effectivity of strategies used in discussing the lesson related to the test. Factor 2 (X₂) on the other hand is the quality of mathematics background as reflected by the students' general weighted average in all mathematics courses undertaken in the senior high school. Here is the collected data. 7 1 10 5 7 45 386 Teachers Rating (X) SHS GWA (X₂) 75 80 79 91 94 87 93 75 81 92
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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Course/Subject: Statistics
Title:
Please help me answer the activity.
![A study was conducted to explore the relationship of students' performance on a particular college
mathematics achievement test (Y) to two factors. Factor 1 (X₁) is the teacher's rating (1-10, a higher rating
means more effective) on the effectivity of strategies used in discussing the lesson related to the test. Factor
2 (X₂) on the other hand is the quality of mathematics background as reflected by the students' general
weighted average in all mathematics courses undertaken in the senior high school. Here is the collected
data.
Teachers Rating (X)
SHS GWA (X₂)
386
7 1 10 5 7 45
75 80 79 91 94 87 93 75 81 92
Score in the Achivement Tear (1) 87 60 96 77 80 89 88 75 94 85
A. Compute the correlation coefficient between (1) Y and X₁ and (2) Y and X₂ to identify
which factor is related to students' performance. Complete the following before
providing the coefficients.
$_$_$]). g.
SXX₂ =
=
-=(
)
SXX₂=
-8
-21.00.
SYY=y-
(22)
SX₂Y =
71
X
SX₂Y
VXY
=ĹXuY-
SX,Y
(SXX, ) (SYY)
=
(
"1
)(](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F44d7be00-46b1-470f-8f47-060fd9db0cdd%2F44e09322-9bb4-4149-9c52-a64347ace16f%2Fvi2ncon_processed.png&w=3840&q=75)
Transcribed Image Text:A study was conducted to explore the relationship of students' performance on a particular college
mathematics achievement test (Y) to two factors. Factor 1 (X₁) is the teacher's rating (1-10, a higher rating
means more effective) on the effectivity of strategies used in discussing the lesson related to the test. Factor
2 (X₂) on the other hand is the quality of mathematics background as reflected by the students' general
weighted average in all mathematics courses undertaken in the senior high school. Here is the collected
data.
Teachers Rating (X)
SHS GWA (X₂)
386
7 1 10 5 7 45
75 80 79 91 94 87 93 75 81 92
Score in the Achivement Tear (1) 87 60 96 77 80 89 88 75 94 85
A. Compute the correlation coefficient between (1) Y and X₁ and (2) Y and X₂ to identify
which factor is related to students' performance. Complete the following before
providing the coefficients.
$_$_$]). g.
SXX₂ =
=
-=(
)
SXX₂=
-8
-21.00.
SYY=y-
(22)
SX₂Y =
71
X
SX₂Y
VXY
=ĹXuY-
SX,Y
(SXX, ) (SYY)
=
(
"1
)(
Transcribed Image Text:SX,Y
FX,Y = √(Sxx.) (SYY)
)
)(
Brief Interpretation:
B. Estimate a linear regression line between Y and the factor more related to it (based
from the results in A). After which, compute the coefficient of determination and
interpret the result. Also, predict the performance of a student if teachers rating is 9 or
his GWA is 83. Assume that the given data does violate any residual assumption.
Mean of the independent variable:
Mean of the dependent variable:
-8-
b₂=( )-( )( )-
The estimated regression line is
This mean that
R²_b. SXY (100%) =) (100%) =
()
SYY
This mean that
Prediction:
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