Five students provided data regarding the number of hours they spent on studying (TimeStudy) and their GPA. The data are as follows. Answer the following questions.     TimeStudy GPA Student 1 2.00 3.50 Student 2 4.00 3.70 Student 3 5.00 3.30 Student 4 3.00 2.60 Student 5 4.00 3.40

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter4: Writing Linear Equations
Section: Chapter Questions
Problem 14CR
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Five students provided data regarding the number of hours they spent on studying (TimeStudy) and their GPA. The data are as follows. Answer the following questions.

 

 

TimeStudy

GPA

Student 1

2.00

3.50

Student 2

4.00

3.70

Student 3

5.00

3.30

Student 4

3.00

2.60

Student 5

4.00

3.40

Where SS(residual)=∑i(yi−yˆi)^2 is 0.6829

  • Calculate (by hand) the SStotal and SSmodel.
  • What does mean by “goodness of fit”? 
  • What is the F-ratio for testing the “goodness of fit”? Is it statistically significant? Calculate this question by hand. 
  • What does tobs = 3.47 mean? What does tcrit = 3.47 mean?
  • If the ƞ2 in an experiment is 0.6, give any possible value of ω2.
R2 Linear = 0.025
3.80
A 3.30
y=3.09+0.06*x
2.80
2.30
2.00
2.50
3.00
3.50
4.00
4.50
5.00
TimeStudy
Transcribed Image Text:R2 Linear = 0.025 3.80 A 3.30 y=3.09+0.06*x 2.80 2.30 2.00 2.50 3.00 3.50 4.00 4.50 5.00 TimeStudy
Correlations
TimeStudy
GPA
TimeStudy Pearson Correlation
1
.157
Sig. (2-tailed)
.801
5
5
GPA
Pearson Correlation
.157
1
Sig. (2-tailed)
.801
N
5
LO
Transcribed Image Text:Correlations TimeStudy GPA TimeStudy Pearson Correlation 1 .157 Sig. (2-tailed) .801 5 5 GPA Pearson Correlation .157 1 Sig. (2-tailed) .801 N 5 LO
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