For a data set of 10 values of x and y, the value of SSw = 83, the standard deviation of errors for the regression of y on x is 2.867, and the value of b is 1.63. For the purpose of conducting a hypothesis test, the null hypothesis is that the slope of the population regression line of y on x is zero and the alternative hypothesis is that the slope of this population regression line is different from zero. The significance level is 5%. What is the value of the test statistic, t, rounded to three decimal places?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

Hi,

I'm struggling with this question and the steps on how to solve the answer

For a data set of 10 values of x and y, the value of SS = 83, the standard deviation of errors for the regression of y on x is 2.867, and
the value of b is 1.63.
For the purpose of conducting a hypothesis test, the null hypothesis is that the slope of the population regression line of y on x is zero
and the alternative hypothesis is that the slope of this population regression line is different from zero. The significance level is 5%.
What is the value of the test statistic, t, rounded to three decimal places?
i
Transcribed Image Text:For a data set of 10 values of x and y, the value of SS = 83, the standard deviation of errors for the regression of y on x is 2.867, and the value of b is 1.63. For the purpose of conducting a hypothesis test, the null hypothesis is that the slope of the population regression line of y on x is zero and the alternative hypothesis is that the slope of this population regression line is different from zero. The significance level is 5%. What is the value of the test statistic, t, rounded to three decimal places? i
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman