Problem 3 (20 points) ofa city during the summer months, We Anumber of different

Question

Problem 3 (20 points) ofa city during the summer months, We Anumber of different factors can contribute to the temperature their latitude, longitude, average take a random sample of24 cities across the United record inches), and feet for predictors of the average high temperature during the month of (in output to analyze the relationship between average July high Ju Use the temperature and the four predictor variables. Adjusted R Square 7468 4 sat-07 Annual Precipitation a. Write the linear model and define all variables. b. Write the equation ofthe regression line. c. Interpret the slope coefficient for latitude. (2 points) d. What is the predicted average high temperature in July for city north latitude and 97 degrees west longitude that sits 1300 feet above sea level and gets an average of 33 inches of precipitation each year?

Explanation / Answer

a)

X1=-0.859

X2=-0.204

X3=0.004

X4=-0.079

b)

Temperature=137.34-0.859(Latitude)-0.204(Longitude)+0.004(Altitude)-0.079(Annual Precipitation)

c)

For every increase of 1 in latitude, temperature would go down by -0.859

d)

Temperature=137.34-0.859(37)-0.204(97)+0.004(1300)-0.079(33)=137.34-31.783-19.788+5.2-2.607=88.362

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