Question

Michigan State University researchers want to investigate how rainfall affects the yield of crops in East Lansing. The researchers found that the annual mean amount of rainfall is about 220 inches and the standard deviation is about 12.2 inches. The mean yield of crops in East Lansing is about 230 tonnes with a standard deviation of 10 tonnes. The correlation between the amount of rainfall and yield of crops is about 0.55. To predict yield amount, the MSU researchers decided to use a regression line of the form: yield = b0 + b1 * rainfall. a)The estimated slope of the regression line is: [Answer to 2 decimal places] b)The estimated intercept of the regression line is: [Answer to 2 decimal places] c)The predicted value of the yield of crop (in tonnes) when the amount of rainfall is 240 inches is: [Answer to 2 decimal places] d)Suppose in a certain year, the amount of rainfall is 240 inches and the yield of crop is 250 tonnes. The residual value of the yield of crop (in tonnes) is: [Answer to 2 decimal places]

Answer 1