Find a prediction interval for an observed asthma prevalence

Reference no: EM131435947

Biology and Environmental Science

A study was conducted to investigate the relationship between asthma prevalence and annual rainfall in countries around the world. A random sample of 11 countries was obtained. The total annual rainfall (x, in mm) was recorded for each country, as well as the percentage of adults, 22-44 years old, treated for asthma (y). The following summary statistics were reported.

S_xx = 178,661

S_yy = 49.2655

S_xy = 380.955

x‾ = 792.636

y^‾ = 5.26

a. Find the estimated regression line.

b. Complete the ANOVA summary table, and conduct an F test for a significant regression. Does annual rainfall help to explain the variation in asthma prevalence? Justify your answer.

c. Find a 95% prediction interval for an observed asthma prevalence if the total annual rainfall is 1000 mm. Comment on anything odd about this interval.

Reference no: EM131435947

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