Malaria is a leading cause of infectious disease and death w

Malaria is a leading cause of infectious disease and death worldwide. It is also a popular example of a vector - borne disease that could be greatly affected by the influence of climate change. The table below is a summary from a linear regression that uses dewpoint (degree C) to predict malaria prevalence in West Africa. (round to three decimal places) A. Fill in the blank. The equation of the least square regression line is ______. B. Fill in the blank. The correlation coefficient, r, is __________. C. There is a strong correlation between dewpoint and malaria prevalence in West Africa. a. True b. False D. There is a negative association between dewpoint and malaria prevalence in West Africa. a. True b. False E. At alpha = 0.05 we can conclude that the variable dewpoint is significant. a. True b. False

Solution

A.

From the table, we get

Malaria Prevalence = 0.731243 - 0.003601*Dewpoint

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B.

As

R^2 = 0.02852, then, as the slope is negative, then we tale the negative square root of R^2:

R = -0.169174466 [ANSWER]

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C.

TRUE, as the p value of the slope is very small, 0.0134 (very close to 0 that it is just by chance.)

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D.

TRUE, as the slope (-0.003601) is NEGATIVE.

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E.

TRUE, AS p < 0.05. [ANSWER]