ACTIVITY. From the table below, determine the relationship between number of Facebook friends and the number of reactions gained by 10 learners with their recent profile picture. Show your solution in computing the value of r. No. of FB Friends |(X) No. of Reactions to Recent Profile Picture (Y) 1. 000

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 81E
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Examples are given as guides. Thanks. 

EXAMPLES
Example 1
Example 2
A researcher wants to determine the relationship between A grade 11 learner wants to determine the relationship
the weekly allowance of learners and their self-reported between the amount of time spent by his friends in playing
happiness index. The happiness index is in the scale of 1- Mobile Legends (ML) every day and the amount of time they
10, where 1 is extremely unhappy while 10 is extremely spent in studying their modules. The table below shows the
happy. The table below shows the responses of five responses of his friends.
learners.
Weekly Allowance (X)
Happiness Index (Y)
ML Playing Time (X)
(in hours)
Module Time (Y)
(in hours)
150
7
200
8
4
4.5
300
9.
3.5
5.5
100
6.
5
4.5
250
9.
2
Solution:
2
6.
To find the relationship between weekly allowance and
happiness index, we must solve first the value of r. Using
the steps from the previous lesson, we can see that the value Solution:
| of r is 0.97. Hence, there is a positive and very high To find the relationship between the time spent playing ML
relationship between weekly allowance of learners and and time spent studying module, we must solve first the
their happiness index. Therefore, with due respect to the value of r using the steps from the previous lesson. Solving
| data gathered, the learners are happier when they have for the value of r, we get -0.92. Hence, there is a negative
| higher allowance, or less happy when they have lower and very high relationship between ML playing time and
weekly allowance.
5.5
3
module studying time. Therefore, the more time the learners
spend playing ML, the less time they spend in studying the
modules, or the less time they spend playing ML, the more
time they spend studying their modules.
Transcribed Image Text:EXAMPLES Example 1 Example 2 A researcher wants to determine the relationship between A grade 11 learner wants to determine the relationship the weekly allowance of learners and their self-reported between the amount of time spent by his friends in playing happiness index. The happiness index is in the scale of 1- Mobile Legends (ML) every day and the amount of time they 10, where 1 is extremely unhappy while 10 is extremely spent in studying their modules. The table below shows the happy. The table below shows the responses of five responses of his friends. learners. Weekly Allowance (X) Happiness Index (Y) ML Playing Time (X) (in hours) Module Time (Y) (in hours) 150 7 200 8 4 4.5 300 9. 3.5 5.5 100 6. 5 4.5 250 9. 2 Solution: 2 6. To find the relationship between weekly allowance and happiness index, we must solve first the value of r. Using the steps from the previous lesson, we can see that the value Solution: | of r is 0.97. Hence, there is a positive and very high To find the relationship between the time spent playing ML relationship between weekly allowance of learners and and time spent studying module, we must solve first the their happiness index. Therefore, with due respect to the value of r using the steps from the previous lesson. Solving | data gathered, the learners are happier when they have for the value of r, we get -0.92. Hence, there is a negative | higher allowance, or less happy when they have lower and very high relationship between ML playing time and weekly allowance. 5.5 3 module studying time. Therefore, the more time the learners spend playing ML, the less time they spend in studying the modules, or the less time they spend playing ML, the more time they spend studying their modules.
ACTIVITY. From the table below, determine the relationship between number of Facebook friends and the number of
reactions gained by 10 learners with their recent profile picture. Show your solution in computing the value of r.
No. of FB Friends
(X)
3, 889
4, 999
2, 356
No. of Reactions to Recent
Profile Picture (Y)
239
576
219
768
71
2, 675
1, 257
2, 001
1, 099
250
267
141
124
568
997
83
120
Transcribed Image Text:ACTIVITY. From the table below, determine the relationship between number of Facebook friends and the number of reactions gained by 10 learners with their recent profile picture. Show your solution in computing the value of r. No. of FB Friends (X) 3, 889 4, 999 2, 356 No. of Reactions to Recent Profile Picture (Y) 239 576 219 768 71 2, 675 1, 257 2, 001 1, 099 250 267 141 124 568 997 83 120
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