Suppose X, is a numerical variable and X, is a dummy variable with two categories and the regression equation for a sample of n=23 is î, =9+5X, - 3X a. Interpret the regression coefficient associated with variable X,. b. Interpret the regression coefficient associated with variable X,. c. Suppose that the tsTAT test statistic for testing the contribution of variable X, is - 0.68. At the 0.10 level of significance, is there evidence that variable X, makes a significant contribution to the model? a. Interpret the regression coefficient associated with variable X,. Holding constant the effect of X,, for each increase of one unit in X,, the predicted mean value of Y increases by a positive change of 5 unit(s). b. Interpret the regression coefficient associated with variable X,. Holding constant the value of X,, changing the value of X, from 0 to 1 is estimated to decrease the predicted mean value of Y by a positive change of 3 unit(s). c. Determine the null and alternative hypotheses. Họ: B, = 0 H;: B * 0 State the test statistic. tSTAT = (Round to two decimal places as needed.)

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
Topic Video
Question

Find the T Statistic

 

Find the P Value

Round to three decimal places

Suppose X, is a numerical variable and X, is a dummy variable with two categories and the regression equation for a sample of n= 23 is Y; = 9+5X, - 3X2;-
a. Interpret the regression coefficient associated with variable X,.
b. Interpret the regression coefficient associated with variable X2.
c. Suppose that the tsTAT test statistic for testing the contribution of variable X, is - 0.68. At the 0.10 level of significance, is there evidence that variable X, makes a significant contribution to the model?
a. Interpret the regression coefficient associated with variable X,.
Holding constant the effect of X,, for each increase of one unit in X,, the predicted mean value of Y increases by a positive change of 5 unit(s).
b. Interpret the regression coefficient associated with variable X,.
Holding constant the value of X,, changing the value of X, from 0 to 1 is estimated to decrease the predicted mean value of Y by a positive change of 3 unit(s).
c. Determine the null and alternative hypotheses.
Ho:
B2
H,: B2 # 0
State the test statistic.
tSTAT =
(Round to two decimal places as needed.)
Enter your answer in the answer box and then click Check Answer.
Transcribed Image Text:Suppose X, is a numerical variable and X, is a dummy variable with two categories and the regression equation for a sample of n= 23 is Y; = 9+5X, - 3X2;- a. Interpret the regression coefficient associated with variable X,. b. Interpret the regression coefficient associated with variable X2. c. Suppose that the tsTAT test statistic for testing the contribution of variable X, is - 0.68. At the 0.10 level of significance, is there evidence that variable X, makes a significant contribution to the model? a. Interpret the regression coefficient associated with variable X,. Holding constant the effect of X,, for each increase of one unit in X,, the predicted mean value of Y increases by a positive change of 5 unit(s). b. Interpret the regression coefficient associated with variable X,. Holding constant the value of X,, changing the value of X, from 0 to 1 is estimated to decrease the predicted mean value of Y by a positive change of 3 unit(s). c. Determine the null and alternative hypotheses. Ho: B2 H,: B2 # 0 State the test statistic. tSTAT = (Round to two decimal places as needed.) Enter your answer in the answer box and then click Check Answer.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
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