Below a scatter diagram for x and y. The sample correlation coefficient for the data r = -0.823. 100 90 80 70 60 <-50 40 30 20 10 0 5 10 15 20 25 30 35 Is there a linear correlation between x and y? Use the "Critical Values for Correlation Coefficient" table provided to justify your answer. If there is linear correlation, is it positive or negative?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 20HP
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please show all work and please organize answers to questions in order so it’s not difficult to understand
Below a scatter diagram for x and y. The sample
correlation coefficient for the data r = -0.823.
100
90
80
70
60
<-50
40
30
20
10
0
S
10
15 20 25 30 35
Is there a linear correlation between x and y? Use the
"Critical Values for Correlation Coefficient table provided
to justify your answer.
If there is linear correlation, is it positive or negative?
Transcribed Image Text:Below a scatter diagram for x and y. The sample correlation coefficient for the data r = -0.823. 100 90 80 70 60 <-50 40 30 20 10 0 S 10 15 20 25 30 35 Is there a linear correlation between x and y? Use the "Critical Values for Correlation Coefficient table provided to justify your answer. If there is linear correlation, is it positive or negative?
3
4
S
6
7
9
Critical Values for Correlation Coefficient
0.997
0.950
0.878
0.811
0.754
0.707
0.666
10
0.632 17
11
0.602
18
12
0.576
19
13 0.553 20
14
0.532 21
15
0.514
22
16
0.497 23
24
25
26
0.482
0.468
0.456
0.444
27
0.433
28
0.423 29
0.413
30
0.404
0.396
0.388
0.381
0.374
0.367
0.361
Transcribed Image Text:3 4 S 6 7 9 Critical Values for Correlation Coefficient 0.997 0.950 0.878 0.811 0.754 0.707 0.666 10 0.632 17 11 0.602 18 12 0.576 19 13 0.553 20 14 0.532 21 15 0.514 22 16 0.497 23 24 25 26 0.482 0.468 0.456 0.444 27 0.433 28 0.423 29 0.413 30 0.404 0.396 0.388 0.381 0.374 0.367 0.361
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