Homework SourseConstruct the 95 confidence interval for the slope coefficie
Construct the 95% confidence interval for the slope coefficient? (Negative values should be indicated by a minus sign. Round your intermediate calculations to 4 decimal places, \"t?/2,df\" value to 3 decimal places, and final answers to 2 decimal places.)
At the 5% significance level, does the slope differ from zero?
| Consider the following simple linear regression results based on 20 observations. Use Table 2. |
Solution
a1.
H0: B0 = 0; HA: B0 not equal to 0
a2.
alpha,a = 0.05
Since P_value corresponding to intercept is less than 0.05 hence reject H0.
Reject H0; the intercept differs from zero.
b1.
alpha,a = 1-0.95 = 0.05
n = 20
t(a/2,n-2) = t(0.025,18) = 2.101
Confidence interval:
(0.1474 - (0.1789*2.101), 0.1474 + (0.1789*2.101))
= (-0.23, 0.52)
b2.
No, since the interval contains zero.
