Question

Computer output for fitting a simple linear model is given below.State the value of the sample slope for this model and give the null and alternative hypotheses for 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 - 78.8 -0.014. Predictor Coef SE Coef T P Constant 78.79 11.30 6.97 0.000 х -0.01403 0.01169 -1.20 0.245 Sample slope: i p-value: Does X appear to be an effective predictor of the response variable Y?

Answer 1

1.

Sample slope : -0.014.

p-value : 0.245

A p-value of 0.245, which is more than the significance level of 0.05 indicates the acceptance of null hypothesis. This shows that the model is effective.

Yes, X appears to be the effective predictor of the response variable Y.

2.

slope : -4.31

Intercept : 810