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Consider the following simple linear regression results based on 20 observations. Use Table 2.

	Coefficients	Standard Error	t Stat	p-value	Lower 95%	Upper 95%
Intercept	32.1051	4.6194	6.9501	0.0000	22.40	41.81
x₁	0.3617	0.1584	2.2835	0.0348	0.03	0.69

a-1.

Choose the hypotheses to determine if the intercept differs from zero.

[removed]	H₀: β₀ ≤ 0; H_A: β₀ > 0
[removed]	H₀: β₀ ≥ 0; H_A: β₀ < 0
[removed]	H₀: β₀ = 0; H_A: β₀ ≠ 0

a-2.

At the 5% significance level, what is the conclusion to the hypothesis test? Does the intercept differ from zero?

[removed]	Reject H₀ the intercept is greater than zero.
[removed]	Reject H₀ the intercept differs from zero.
[removed]	Do not reject H₀ the intercept differs from zero.
[removed]	Do not reject H₀ the intercept is greater than zero.

b-1.

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_α/2,df" value to 3 decimal places and final answers to 2 decimal places.)

Confidence interval

[removed] to [removed]

b-2.

At the 5% significance level, does the slope differ from zero?

[removed]	Yes, since the interval does not contain zero.
[removed]	No, since the interval contains zero.
[removed]	Yes, since the interval contains zero.
[removed]	No, since the interval does not contain zero.

12 years ago
07.12.2014
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