Statistic 2 Midterm Exam

In: Business and Management

Submitted By ndanhtuan
Words 723
Pages 3
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). The YorkU graduate recorded the percentage of chlorine depletion during 8-hour days, water temperature, pH level and weather condition (mainly cloudy, sunny and partly sunny). Using Excel’s
Regression Tool, the YorkU graduate obtained the following Excel output.

Regression Statistics
Multiple R

A

R Square

B

Adjusted R Square

C

Standard Error

D

Observations

210

ANOVA df SS

MS

F

Significance F

Regression

E

6596

I

77.00

0.0000

Residual

F

H

J

Total

G

10091

Coefficients

Standard Error

Intercept

1003

55.12

18.19

0.0000

Temperature

0.194

0.029

K

0.0000

PH Level

-265.6

14.75

-18.01

0.0000

PH Level-Sq

17.76

0.983

18.07

0.0000

Mainly Cloudy

-1.07

0.700

-1.53

0.1282

Sunny

1.16

0.700

1.65

0.0997

t Stat

P-Value

1. Clearly define the independent variables being considered.

2. Specify the multiple regression model using all independent variables being considered.

3. Fill in the following table with the correct values of E, F and G.
ANSWERS

E -…...

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