In Lab #12 you will collect data on the photosynthesis rates of goldenrod leaves

Question

In Lab #12 you will collect data on the photosynthesis rates of goldenrod leaves measured at 8 different light intensities. Suppose you obtained the following regression output from R: What would the 99% confidence interval be for the slope (i.e., light_intensity)? (0.0395, 0.0581) (0.0416, 0.0560) (0.0385, 0.0591) (0.0389, 0.0587) (0.0379, 0.0598) Continuing with the data from the problem above: Suppose that the prevailing scientific wisdom about goldenrod leaves is that the slope (i.e., light_intensity) should be 0.055. We want to know if the result of our regression model (0.0488) provides convincing evidence that the slope is different from 0.055. What is the T-statistic (or T-score) for the observed slope?

Explanation / Answer

1) SE = 0.002952
Degree of freedom = n-2 = 6
critical t vaue = +/- 3.7074

99% CI = 0.048806 +/- 3.7074*0.002952 = (0.0379, 0.0598)   option e

2) H0: 1 = 0.055
Ha: 1 0.055

t = (b1 - 0.055)/ SE = 0.0488-0.055/0.002952 = -2.100

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