In a simple linear regression based on 30 observations, it is found that b, = 3.54 and se(b1) = 1.46. Consider the hypotheses: [You may find it useful to reference the t table.] Hg: 8, = 0 and HA: 6, + 0. a. Calculate the value of the test statistic. (Round your answer to 3 decimal places.) Test statistic b. Find the p-value. O 0.01 s p-value < 0.02 O 0.02 s p-value < 0.05 Op-value < 0.01 O p-value 2 0.10 O 0.05 s p-value < 0.10

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Author:Bruce Crauder, Benny Evans, Alan Noell
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Chapter5: A Survey Of Other Common Functions
Section5.6: Higher-degree Polynomials And Rational Functions
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I would like for you to answer a, b, and c
In a simple linear regression based on 30 observations, it is found that b, = 3.54 and se (bj) = 1.46. Consider the hypotheses: [You
may find it useful to reference the t table.]
Hg: 61 = 0 and HA: 6, + 0.
a. Calculate the value of the test statistic. (Round your answer to 3 decimal places.)
Test statistic
b. Find the p-value.
O 0.01 s p-value < 0.02
O 0.02 s p-value < 0.05
O p-value < 0.01
O p-value 2 0.10
O 0.05 s p-value < 0.10
Transcribed Image Text:In a simple linear regression based on 30 observations, it is found that b, = 3.54 and se (bj) = 1.46. Consider the hypotheses: [You may find it useful to reference the t table.] Hg: 61 = 0 and HA: 6, + 0. a. Calculate the value of the test statistic. (Round your answer to 3 decimal places.) Test statistic b. Find the p-value. O 0.01 s p-value < 0.02 O 0.02 s p-value < 0.05 O p-value < 0.01 O p-value 2 0.10 O 0.05 s p-value < 0.10
b. Find the p-value.
O 0.01 s p-value < 0.02
O 0.02 s p-value < 0.05
O p-value < 0.01
O p-value 2 0.1O
O 0.05 s p-value < 0.10
C. At the 5% significance level, what is the conclusion? Is the explanatory variable statistically significant?
Reject Hg, the explanatory variable is significant.
O Reject Ho, the explanatory variable is not significant.
O Do not reject Hg; the explanatory variable is significant.
O Do not reject Hg; the explanatory variable is not significant.
Transcribed Image Text:b. Find the p-value. O 0.01 s p-value < 0.02 O 0.02 s p-value < 0.05 O p-value < 0.01 O p-value 2 0.1O O 0.05 s p-value < 0.10 C. At the 5% significance level, what is the conclusion? Is the explanatory variable statistically significant? Reject Hg, the explanatory variable is significant. O Reject Ho, the explanatory variable is not significant. O Do not reject Hg; the explanatory variable is significant. O Do not reject Hg; the explanatory variable is not significant.
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