t. Reading is fundamental to a teenager's ability to perform well in school. Assume a researcher is interested in the ability of the number of books read over the summer to predict ACT Reading scores. Using a random sample of 10 random high school students the researchers recorded the number of books read over the summer and the students' ACT Reading scores. Books read over summer (x) ACT Reading score (y) 16 19 17 4 25 4 21

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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Model Summary
Std. Error
of the
Adjusted R
Square
Model
R Square
.390
R
Estimate
1
.624
.314
2.92759
a. Predictors: (Constant), I
ANOVA
Sum of
Mean
Model
Squares
43.834
df
Square
Sig.
.054b
1.
Regression
43.834
5.114
Residual
68.566
8
8.571
Total
112.400
9
a. Dependent Variable: y
b. Predictors: (Constant), x
Coefficients
Standardize
d
Unstandardized
Coefficient
Coefficients
Model
B
Std. Error
Beta
Sig.
(Constant)
17.283
2.122
8.146
.000
.830
.367
624
2.261
.054
a. Dependent Variable: y
OF
a
Transcribed Image Text:Model Summary Std. Error of the Adjusted R Square Model R Square .390 R Estimate 1 .624 .314 2.92759 a. Predictors: (Constant), I ANOVA Sum of Mean Model Squares 43.834 df Square Sig. .054b 1. Regression 43.834 5.114 Residual 68.566 8 8.571 Total 112.400 9 a. Dependent Variable: y b. Predictors: (Constant), x Coefficients Standardize d Unstandardized Coefficient Coefficients Model B Std. Error Beta Sig. (Constant) 17.283 2.122 8.146 .000 .830 .367 624 2.261 .054 a. Dependent Variable: y OF a
Paragraph
Styles
4. Reading is fundamental to a teenager's ability to perform well in school. Assume a
researcher is interested in the ability of the number of books read over the summer to
predict ACT Reading scores. Using a random sample of 10 random high school
students the researchers recorded the number of books read over the summer and
the students' ACT Reading scores.
Books read over summer (x) ACT Reading score (y)
16
19
17
4
25
4
21
24
6.
21
8
24
27
10
22
Answer the following questions using the SPSS regression analysis OUTPUT
(given below):
a. From the SPSS regression analysis OUTPUT (given below), write the
regression line using the number of books read to predict ACT Reading score.
b. What is the predicted ACT Reading score when 5 books are read?
C. Does the number of books read significantly predicts ACT at a = 0.05? State
your null and alternative hypotheses.
d. How much variation in y is explained by this linear regression model?
D Focus
a
IN
Transcribed Image Text:Paragraph Styles 4. Reading is fundamental to a teenager's ability to perform well in school. Assume a researcher is interested in the ability of the number of books read over the summer to predict ACT Reading scores. Using a random sample of 10 random high school students the researchers recorded the number of books read over the summer and the students' ACT Reading scores. Books read over summer (x) ACT Reading score (y) 16 19 17 4 25 4 21 24 6. 21 8 24 27 10 22 Answer the following questions using the SPSS regression analysis OUTPUT (given below): a. From the SPSS regression analysis OUTPUT (given below), write the regression line using the number of books read to predict ACT Reading score. b. What is the predicted ACT Reading score when 5 books are read? C. Does the number of books read significantly predicts ACT at a = 0.05? State your null and alternative hypotheses. d. How much variation in y is explained by this linear regression model? D Focus a IN
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