3. High school students were interested in a teacher's claim that the longer the length of time (hours) that a student studies for a test, the higher the test score. The students collected the data and the teacher did the regression analysis with the following results. ANOVA Regression Residual Total Intercept Time df 1 8 9 Coefficients 46.024 2.134 SS 1199.900 1725.700 Standard Error 11.641 0.905 MS t-Stat F (1) What is the regression mean square? (2) To test the null hypothesis that no relationship exists between study time and score, what are the F test statistic and the F-critical value using the 0.05 significance level? (3) To test the null hypothesis that the slope is zero, what are the t test statistic and the t-critical values using the 0.05 significance level?
3. High school students were interested in a teacher's claim that the longer the length of time (hours) that a student studies for a test, the higher the test score. The students collected the data and the teacher did the regression analysis with the following results. ANOVA Regression Residual Total Intercept Time df 1 8 9 Coefficients 46.024 2.134 SS 1199.900 1725.700 Standard Error 11.641 0.905 MS t-Stat F (1) What is the regression mean square? (2) To test the null hypothesis that no relationship exists between study time and score, what are the F test statistic and the F-critical value using the 0.05 significance level? (3) To test the null hypothesis that the slope is zero, what are the t test statistic and the t-critical values using the 0.05 significance level?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question

Transcribed Image Text:3. High school students were interested in a teacher's claim that the longer the length of time (hours) that a
student studies for a test, the higher the test score. The students collected the data and the teacher did the
regression analysis with the following results.
ANOVA
Regression
Residual
Total
Intercept
Time
df
1
8
9
Coefficients
46.024
2.134
SS
1199.900
1725.700
Standard Error
11.641
0.905
MS
t-Stat
F
(1) What is the regression mean square?
(2) To test the null hypothesis that no relationship exists between study time and score, what are the F test
statistic and the F-critical value using the 0.05 significance level?
(3) To test the null hypothesis that the slope is zero, what are the t test statistic and the t-critical values
using the 0.05 significance level?
(4) What is the coefficient of determination?
(5) Write the regression equation in terms of the independent and dependent variables.
(6) If a student studies 10 hours, what is the predicted score?
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