Identify the strength of correlation of the two variables in each statement, then, at a 5% level of significance, perform a hypothesis test using Pearson's r or Spearman's rank correlation coefficient. I. A group of twelve (12) children participated in a psychological study designed to assess the relationship, if any, between age (years) and average total sleep time (minutes). To obtain a measure for average total sleep time, recordings were taken on each child on five consecutive nights and then averaged. The results obtained are shown in the table. Child Age (years) ATST (Minutes) A 4.4 586 4.9 565 11.9 515 D 9.6 532 12.4 478 F 5.5 560 G 11.1 493 8.6 533 14 575 13.7 490 K 8.1 530 L 7.9 515 Test whether the linear relationship in this sample data effectively models the relationship in the population.

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 2CYU
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Identify the strength of correlation of the two variables in each statement, then, at a 5% level of
significance, perform a hypothesis test using Pearson's r or Spearman's rank correlation coefficient.
I. A group of twelve (12) children participated in a psychological study designed to assess the relationship,
if any, between age (years) and average total sleep time (minutes). To obtain a measure for average total
sleep time, recordings were taken on each child on five consecutive nights and then averaged. The results
obtained are shown in the table.
Child
Age (years) ATST (Minutes)
A
4.4
586
В
4.9
565
11.9
515
D
9.6
532
E
12.4
478
5.5
560
11.1
493
8.6
533
14
575
13.7
490
K
8.1
530
L
7.9
515
Test whether the linear relationship in this sample data effectively models the relationship in the
population.
Transcribed Image Text:Identify the strength of correlation of the two variables in each statement, then, at a 5% level of significance, perform a hypothesis test using Pearson's r or Spearman's rank correlation coefficient. I. A group of twelve (12) children participated in a psychological study designed to assess the relationship, if any, between age (years) and average total sleep time (minutes). To obtain a measure for average total sleep time, recordings were taken on each child on five consecutive nights and then averaged. The results obtained are shown in the table. Child Age (years) ATST (Minutes) A 4.4 586 В 4.9 565 11.9 515 D 9.6 532 E 12.4 478 5.5 560 11.1 493 8.6 533 14 575 13.7 490 K 8.1 530 L 7.9 515 Test whether the linear relationship in this sample data effectively models the relationship in the population.
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