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Show for each model and give the null and alternative hypotheses for testing if

ID: 3316629 • Letter: S

Question

Show for each 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 = 82.3 0.0241 X

Predictor

Coef

SE Coef

T

P

Constant

82.29

11.80

6.97

0.000

X

0.02413

0.02018

1.20

0.245

The regression equation is Y = 82.3 0.0241 X

Predictor

Coef

SE Coef

T

P

Constant

82.29

11.80

6.97

0.000

X

0.02413

0.02018

1.20

0.245

Explanation / Answer

The p - value will be the value in the column P corresponding to the row X. Hence,

P - Value = 0.245

Since this p - value is greater than 0.05, we do not reject Ho. Hence,

At 5% significance, we do not have sufficient evidence to conclude that the slope in the population is different from zero.