Slope is b = -0.5286 Standard Error of b = 0.1059 t-test = =4.99150142 Number of

Question

Slope is b = -0.5286

Standard Error of b = 0.1059

t-test = =4.99150142

Number of D. Magna Grazers 1 2 3 4 5 6 Net Growth rate of G. Semen -1.9 -2.5 -2.2 -3.9 -4.1 -4.3 APPLY YOUR KNOWLEDGE Algal bloom control: testing correlation. Exercise 23.1 gives data on the number of D. magna grazers introduced in test tubes and the net growth rate of G. semen algae. There are only 6 observations, so we worry that the apparent relationship may be just chance. Is the correlation significantly less than 0? Answer this question in two ways. (a) Return to your t statistic from Exercise 23.4. What is the one-sided P-value 23.7 FT for this t? Apply your result to test the correlation. (b) Find the correlation r and use Table E to approximate the P-value of the one-sided test. Compare your answers using both methods.

Explanation / Answer

1)Variable N Mean StDev SE Mean 95% CI

Grough 6 -3.150 1.065 0.435 (-4.268, -2.032)

MTB > TwoT 'magna' 'Grough'.

2)

Correlations: magna, Grough

Pearson correlation of magna and Grough = -0.928
P-Value = 0.008

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