Question

The regression equation is Ŷ = 30 + 2.56X, the sample size is 14, and the standard error of the slope is 0.97. What is the critical value to test the significance of the slope at the 0.05 significance level?

Answer 1

Answer:

t = ±2.179

Step-by-step explanation:

Given:

Regression equation = Y = 30 + 2.56X

Sample size, n = 14

Standard error, e = 0.97

Significance level, $\alpha$ = 0.05

Required:

Find the critical value

At level of significance = 0.05

Degrees of freedom, df = n - 2 = 14 - 2= 12

Find critical value:

Using t table, two tailed, df = 12, we have:

$t_\alpha_/_2_, _d_f = t_0_._0_2_5_,_1_3 = 2.179$

Therefore, the critical value,

t-critical = ±2.179