Chapter 9, Section 1, Exercise 005 Computer output for fitting a simple linear m
ID: 3309886 • 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 = 91.2 - 7.81X
Predictor Coef SE Coef T P
Constant 91.218 4.628 19.71 0.000
X -7.8074 0.9110 -8.57 0.000
Sample slope
P value
Is the model effective
yes or no
Explanation / Answer
sample slope =-7.81
from above output ; p value for saple slope =0.000
as p value is less then 5% significance level ; model is effective
hence Yes