Chapter 9, Section 1, Exercise 005 Computer output for fitting a simple linear m
ID: 3221899 • Letter: C
Question
Chapter 9, Section 1, Exercise 005 Computer output for fitting a simple linear model is given below. State the value of the sample slope for the given model. In testing if the slope in the population is different from zero, identify the p-value and use it (and a 5 % significance level) to make a clear conclusion about the effectiveness of the model. The regression equation is Y = 91.5 - 8.97X
Sample slope:…
P-value:...
Is the model effective? Yes or No
Predictor Coef SE Coef T P Constant 91.503 4.642 19.71 0 X -8.9652 1.0461 -8.57 0Sample slope:…
P-value:...
Is the model effective? Yes or No
Explanation / Answer
Here from the given regression model, we can see that the slope is -8.97 on the basis of the sample. Also from the table it can be seen that for testing the hypothesis of significance of the slope parameter the p value of the test is 0, which means that the test is rejected at 5% level of significance. This indicates that the slope parameter is significantly different from 0 and hence the model can be considered to be effective for the given sample.