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.)

Algebra and Trigonometry (MindTap Course List)
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Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter1: Equations And Graphs
Section1.FOM: Focus On Modeling: Fitting Lines To Data
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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.
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