In a single linear regression based on 30 observation, it is found that b_1 = 3.
ID: 3160556 • Letter: I
Question
In a single linear regression based on 30 observation, it is found that b_1 = 3.53 and Consider the hypothesis Calculate the value of the test statistic. Approximate the p-value At the 5% significance level, what is the conclusion to the hypothesis test? Is the explanatory variable significant? Reject H_0: the explanatory variable is significant Do not reject H_0: the explanatory variable is not significance Reject H_0: the explanatory variable is not significant Do nor reject H_0: the explanatory variable is significant.Explanation / Answer
a)
Hence,
t = b1 / se(b1) = 3.53/1.35 = 2.614814815 [ANSWER]
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b)
As df = n - 2 = 30 - 2 = 28, then using the table,
OPTION B: 0.01 < Pvalue < 0.02 [ANSWER]
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c)
As P < 0.02 < 0.05, we reject Ho. Hence,
OPTION A. [ANSWER]