Consider the following simple linear regression results based on 20 observations
ID: 3159938 • Letter: C
Question
Consider the following simple linear regression results based on 20 observations. Use Choose the hypotheses to determine if the intercept differs from zero. H_0: beta_0 = 0; H_A: beta_0 notequalto 0 H_0: beta Greaterthanorequalto 0; H_A: beta_0 0 At the 5% significance level, what is the conclusion to the hypothesis test? Does the intercept differ from zero? Reject H_0; the intercept differs from zero. Do not reject H_0; the intercept differs from zero. Reject H_0; the intercept is greater than zero. Do not reject H_0; the intercept is greater than zero. 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_alpha/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? No, since the interval contains zero. Yes, since the interval does not contain zero. Yes, since the interval contains zero. No, since the interval does not contain zero.Explanation / Answer
a-1.
As the intercept is Beta0, then
OPTION A: Ho: Beta0 = 0, Ha: Beta0 =/= 0 [ANSWER, A]
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a-2.
As Pvalue = 0.0000 for the intercept, then we reject Ho.
OPTION A. [ANSWER]
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b-1.
From the table, for the slope, it is
-0.10 to 0.37 [ANSWER]
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b-2.
As the interval contains 0, then
OPTION A. [ANSWER]