# Essay on Statistic 2 Midterm Exam

709 Words Oct 11th, 2015 3 Pages
Question 1 (22 marks)
A commercial pool management company is seeking to reduce the costs of maintaining swimming pools. The maintenance cost is mostly driven by the amount of chlorine that is needed to keep the water clear and relatively free of germs. The company hired a new graduate from York University (“YorkU”) to analyze how much chlorine is needed. It is believed that the speed at which chlorine is depleted is dependent on the temperature (degrees Fahrenheit) of the water (higher temperatures use chlorine faster); pH level, which is a measure of the acidity of the water (pH ranges from 0 to 14, where 0 is very acidic and 14 is very alkaline; levels around 7.5 use the least chlorine); and weather (sunshine uses up chlorine).
Show all of your calculations for each of them. Marks will be given ONLY IF appropriate computational work is shown completely in the space below. It is recommended in this case that you show computational work to four digits after the decimal point.
FINAL ANSWERS TO BE INSERTED HERE

A
C
D
H
I
K

5. Using a hypothesis test, determine whether the model is significant overall. Use significance level α = 5%. Specify completely the null and alternate hypotheses for testing the overall validity of the multiple regression model. Explain why the model is valid at α = 5% - or why not, as the case may be.
6. Interpret the coefficient of each of the indicator variables in the sample regression equation. 7. Predict the amount of chlorine depletion when the temperature is 75 degrees Fahrenheit and pH level is 6.6 on a partly sunny day.

CORRECTION
This should be B5

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