For the exercise on temperature and the utility bill, what is the sample covariance ? Month Temperature Utility Bill 1 40 105 −20 25 −500 2 55 85 −5 5 −25 3 60 75 0 −5 0 4 65 70 5 -10 −50 5 80 65 20 -15 −300 Sum 300 400 0 0 −875 Mean 60 80 Group of answer choices -300

For the exercise on temperature and the utility bill, what is the sample covariance ? Month Temperature Utility Bill 1 40 105 −20 25 −500 2 55 85 −5 5 −25 3 60 75 0 −5 0 4 65 70 5 -10 −50 5 80 65 20 -15 −300 Sum 300 400 0 0 −875 Mean 60 80 Group of answer choices -300

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 1GP

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Question

For the exercise on temperature and the utility bill, what is the sample covariance ?

Month	Temperature	Utility Bill
1	40	105	−20	25	−500
2	55	85	−5	5	−25
3	60	75	0	−5	0
4	65	70	5	-10	−50
5	80	65	20	-15	−300
Sum	300	400	0	0	−875
Mean	60	80

Group of answer choices

-300

-875

Definition Definition Measure of how two random variables change together. Covariance indicates the joint variability or the directional relationship between two variables. When two variables change in the same direction (i.e., if they either increase or decrease together), they have a positive covariance. When the change is in opposite directions (i.e., if one increases and the other decreases), the two variables have a a negative covariance.

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