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⁢=82.0-0.0116X.

Predictor Coef SECoef T     P.

Constant 81.98 11.76   6.97 0.000

X -0.01161 0.00968. -1.20 0.245

Sample slope: ?

p-value: ?

Does X appear to be an effective predictor of the response variable Y?

Answer 1

As per given output

Sample Slope = -0.0116

P-value = 0.245

since P-value > alpha 0.05 so it is not significant

No, X not appear to be an effective predictor of the response variable Y