Suppose X, is a numerical variable and X2 is a dummy variable with two categories and the regression equation for a sample of n= 18 is Y, = 3- 4X + 2X. a. Interpret the regression coefficient associated with variable X4. b. Interpret the regression coefficient associated with variable X2. c. Suppose that the teTAT test statistic for testing the contribution of variable X, is 1.16. At the 0.05 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 v for each increase of one unit in v the predicted mean value of Y V by a positive change of unit(s). b. Interpret the regression coefficient associated with variable X Holding constant the value of V changing the value of v from to is estimated to predicted mean value of Y by a positive change of unit(s). c. Determine the null and alternative hypotheses. Ho H.: State the test statistic. ESTAT (Round to two decimal places as needed.) Find the p-value. p-value = (Round to three decimal places as needed.) State the conclusion. Choose the correct answer below. O A. Reject Hg. There is insufficient evidence at the 0.05 level of significance that variable X, makes a significant contribution to the model. O B. Do not reject Ho. There is sufficient evidence at the 0.05 level of significance that variable X, makes a significant contribution to the model. OC. Reject Hg. There sufficient evidence at the 0.05 level of significance that variable X, makes a significant contribution to the model. O D. Do not reject Ho. There is insufficient evidence at the 0.05 level of significance that variable X, makes a significant contribution to th model.
Suppose X, is a numerical variable and X2 is a dummy variable with two categories and the regression equation for a sample of n= 18 is Y, = 3- 4X + 2X. a. Interpret the regression coefficient associated with variable X4. b. Interpret the regression coefficient associated with variable X2. c. Suppose that the teTAT test statistic for testing the contribution of variable X, is 1.16. At the 0.05 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 v for each increase of one unit in v the predicted mean value of Y V by a positive change of unit(s). b. Interpret the regression coefficient associated with variable X Holding constant the value of V changing the value of v from to is estimated to predicted mean value of Y by a positive change of unit(s). c. Determine the null and alternative hypotheses. Ho H.: State the test statistic. ESTAT (Round to two decimal places as needed.) Find the p-value. p-value = (Round to three decimal places as needed.) State the conclusion. Choose the correct answer below. O A. Reject Hg. There is insufficient evidence at the 0.05 level of significance that variable X, makes a significant contribution to the model. O B. Do not reject Ho. There is sufficient evidence at the 0.05 level of significance that variable X, makes a significant contribution to the model. OC. Reject Hg. There sufficient evidence at the 0.05 level of significance that variable X, makes a significant contribution to the model. O D. Do not reject Ho. There is insufficient evidence at the 0.05 level of significance that variable X, makes a significant contribution to th model.
Algebra and Trigonometry (MindTap Course List)
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ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter1: Equations And Graphs
Section1.FOM: Focus On Modeling: Fitting Lines To Data
Problem 10P
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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 = 18 is Y; = 3 – 4X1; + 2X2;-
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 1.16. At the 0.05 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
for each increase of one unit in
the predicted mean value of Y
by a positive change of
unit(s).
b. Interpret the regression coefficient associated with variable X,.
Holding constant the value of
changing the value of
from
to
is estimated to
the predicted mean value of Y by a positive change of
unit(s).
c. Determine the null and alternative hypotheses.
Hoi
State the test statistic.
tSTAT =
(Round to two decimal places as needed.)
Find the p-value.
p-value =
(Round to three decimal places as needed.)
State the conclusion. Choose the correct answer below.
A. Reject Ho: There is insufficient evidence at the 0.05 level of significance that variable X, makes a significant contribution to the model.
B. Do not reject Ho. There is sufficient evidence at the 0.05 level of significance that variable X, makes a significant contribution to the
model.
O C. Reject Ho. There is sufficient evidence at the 0.05 level of significance that variable X, makes a significant contribution to the model.
O D. Do not reject Ho. There is insufficient evidence at the 0.05 level of significance that variable X, makes a significant contribution to the
model.
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