Using a = .05, which test score(s) are significant predictors of science score? Social ccionco oooro

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
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Question 11
+
Using a = .05, which test score(s) are significant predictors of science score?
Below are some results from a multiple linear
regression analysis that was conducted on the
data from 200 high school students. Various
O Social science score
O Math score, social science score, and reading score
tests of students' abilities were conducted,
O Math score and reading score
among them testing the science knowledge
(science score), reading abilities (reading score),
math abilities (math score), and knowledge of
social sciences (social science score).
O None of the test scores
The researcher is trying to predict the science
score from the math score, social science score,
and reading score.
A part of the output of the researcher is shown
below:
Transcribed Image Text:Question 11 + Using a = .05, which test score(s) are significant predictors of science score? Below are some results from a multiple linear regression analysis that was conducted on the data from 200 high school students. Various O Social science score O Math score, social science score, and reading score tests of students' abilities were conducted, O Math score and reading score among them testing the science knowledge (science score), reading abilities (reading score), math abilities (math score), and knowledge of social sciences (social science score). O None of the test scores The researcher is trying to predict the science score from the math score, social science score, and reading score. A part of the output of the researcher is shown below:
ANOVA Table
Mean Sum of Squares Model = 3115.5
Mean Sum of Squares Residual = 51.8
Mean Sum of Squares Total = 98.0
Model Sum of Squares = 9346.4
Residual Sum of Squares = 10161.1
Total Sum of Squares = 19507.5
R-squared = 0.479
F(3,196) = 60.1
p-value
%3D
= 0.000
Coefficients block
predictor
variable
coefficient
standard
p-value
95% conf. int.
(b)
error
.000
.560
.000
.001
math score
social science .036
.075
.062
.392
5.25
0.58
[.245; .540]
[-087; .159]
[.204; .492]
[4.921; 17.386]
reading score .348
intercept
.073
3.160
4.76
3.53
11.153
Transcribed Image Text:ANOVA Table Mean Sum of Squares Model = 3115.5 Mean Sum of Squares Residual = 51.8 Mean Sum of Squares Total = 98.0 Model Sum of Squares = 9346.4 Residual Sum of Squares = 10161.1 Total Sum of Squares = 19507.5 R-squared = 0.479 F(3,196) = 60.1 p-value %3D = 0.000 Coefficients block predictor variable coefficient standard p-value 95% conf. int. (b) error .000 .560 .000 .001 math score social science .036 .075 .062 .392 5.25 0.58 [.245; .540] [-087; .159] [.204; .492] [4.921; 17.386] reading score .348 intercept .073 3.160 4.76 3.53 11.153
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