Question 1 a) Compute the correlation coefficient (Pearson r) b) What is the determination coefficient? c) What can you conclude about the result in a and b-- (or interpret your result)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter3: Straight Lines And Linear Functions
Section3.4: Linear Regression
Problem 20SBE
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INSTRUCTIONS:
= Before answering this exercise, students are expected to know the lessons about
Correlation Coefficient (or Pearson r) and Simple Linear Regression (SLR)
= YOUR HAND-WRITTEN SOLUTIONS IS REQUIRED
= INDICATE THE FORMULA OR EQUATION THAT YOU USED
= the SUM TOTALS are required
= Use PDF format when uploading your answer
A college faculty collected data on his 20-students' general weighted average (GWA)
in the first semester and their high school average grade.
1 2
3
5 6
7
8
10
GWA
2.06 2.08
2.11
1.52
1.62
1.47
2.18
1.7
1.85
1.69
HS grade
92
93
85
87
89
89
89
85
88
95
11
12
13
14
15
16
17
18
19
20
GWA
2.03
2.00
1.46
1.27
2.06 1.26
2.14
2.2
1.29
1.96
HS grade
85
92
87
92
91
85
91
92
91
85
[ NOTE: This data is from chapter 4 Exercise 4.2 number 4]
Question 1
a) Compute the correlation coefficient (Pearson r)
b) What is the determination coefficient?
c) What can you conclude about the result in a and b --
(or interpret your result)
Question 2
a) Compute the regression coefficient
b) What is the regression constant?
c) Write the Simple Linear Regression Equation;
and what can you conclude about the result in a and b --
(or interpret your result)
Transcribed Image Text:INSTRUCTIONS: = Before answering this exercise, students are expected to know the lessons about Correlation Coefficient (or Pearson r) and Simple Linear Regression (SLR) = YOUR HAND-WRITTEN SOLUTIONS IS REQUIRED = INDICATE THE FORMULA OR EQUATION THAT YOU USED = the SUM TOTALS are required = Use PDF format when uploading your answer A college faculty collected data on his 20-students' general weighted average (GWA) in the first semester and their high school average grade. 1 2 3 5 6 7 8 10 GWA 2.06 2.08 2.11 1.52 1.62 1.47 2.18 1.7 1.85 1.69 HS grade 92 93 85 87 89 89 89 85 88 95 11 12 13 14 15 16 17 18 19 20 GWA 2.03 2.00 1.46 1.27 2.06 1.26 2.14 2.2 1.29 1.96 HS grade 85 92 87 92 91 85 91 92 91 85 [ NOTE: This data is from chapter 4 Exercise 4.2 number 4] Question 1 a) Compute the correlation coefficient (Pearson r) b) What is the determination coefficient? c) What can you conclude about the result in a and b -- (or interpret your result) Question 2 a) Compute the regression coefficient b) What is the regression constant? c) Write the Simple Linear Regression Equation; and what can you conclude about the result in a and b -- (or interpret your result)
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