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ma_381_quiz__3_fall_2017_11_21_17.pdf

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MA 381 – 02 Fall 2017 Probability and Statistics
Take Home Quiz #3 (worth 15%) November 21, 2017 Addendum
SHOW ALL OF YOUR WORK (attach additional sheets if necessary)
This is due at the beginning of class on Tuesday, November 28, 2017
1. (worth 20 points)
See the handout. #11 from regression practice sheet
2. (worth 10 points)
See the handout. #12 from the regression practice sheet
3. (worth 20 points) Solve the following problem in MS Excel. Please print and submit your
MS Excel worksheet with the answers to #1 and #2 above.
Here is historical data from the past year of average monthly temperatures (in degrees
Fahrenheit) and the amount of the corresponding monthly electric bill (in dollars).
Note: The data corresponds to a house that is heated electrically.
Month
January
February
March
April
May
June
July
August
September
October
November
December
X = Average monthly
temperature
10
18
35
39
50
65
75
84
52
40
25
21
Y = Amount of electric
bill
120
90
118
60
81
64
26
38
50
80
100
124
(next page)
1
Dr. Kim Barnette
MA 381 Fall 2017
a. On your MS Excel worksheet, show me the calculations for the five (5) summary
statistics of the data set above.
b. On your MS Excel worksheet, graph the scatterplot showing the linear regression
equation.
c. On your MS Excel worksheet, show where you check that the linear regression equation
on the plot is correct.
d. Is there a positive or negative correlation between average temperature and amount of
electric bill?
e. If February is 8 degrees colder this year, what amount should you expect (or predict) the
electric bill to be?
2
Dr. Kim Barnette
MA 381 Fall 2017

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