Refer to the general software output below in which x = NO3− wet deposition (g N/m2) and y = lichen N (% dry weight).
The
regression equation is lichen N = 0.363 + 0.965 no3 depo |
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Predictor | Coef | Stdev | t-ratio | p |
Constant | 0.36304 | 0.09743 | 3.73 | 0.003 |
no3 depo | 0.9646 | 0.1799 | 5.36 | 0.000 |
s = 0.1900 R-sq = 72.3% R-sq (adj) = 69.8% |
Is there evidence the explanatory variable is a significant
predictor of the response? Use a significance level of 0.01.
State the appropriate null and alternative hypotheses.
H0: β1 = 0
Ha: β1 ≠ 0
H0: β1 = 0
Ha: β1 < 0
H0: β1 = 0
Ha: β1 > 0
H0: β1 ≠ 0
Ha: β1 = 0
What is the t test statistic value? Round your answer to two
decimal places.
t =
What is the p-value? P-value =
State the conclusion in the problem context.
Reject H0. There is evidence the explanatory variable is a significant predictor of the response.
Reject H0. There is no evidence the explanatory variable is a significant predictor of the response.
Fail to reject H0. There is evidence the explanatory variable is a significant predictor of the response.
Fail to reject H0. There is no evidence the explanatory variable is a significant predictor of the response.
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