(d) Compute the linear correlation coefficient between MRI count and IQ for females. Compute the linear correlation coefficient between MRI count and IQ for males. The linear correlation coefficient for females is 0.533. The linear correlation coefficient for males is 0.477. (Round to three decimal places as needed.) Are MRI count and IQ linearly related? Because the correlation coefficient for females is 0.533, is between MRI count and IQ for females. Because the correlation coefficient for males is absolute value of this correlation coefficient, is relation exists between MRI count and IQ for males. (Round to three decimal places as needed.) and the absolute value of this correlation coefficient, than 0.477, the critical value for the female data set, relation exists and the than the critical value for the male data set,

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 15PPS
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Question
Solve the empty blankes. 
Critical Values for Correlation Coefficient
 
n
 
3
0.997
4
0.950
5
0.878
6
0.811
7
0.754
8
0.707
9
0.666
10
0.632
11
0.602
12
0.576
13
0.553
14
0.532
15
0.514
16
0.497
17
0.482
18
0.468
19
0.456
20
0.444
21
0.433
22
0.423
23
0.413
24
0.404
25
0.396
26
0.388
27
0.381
28
0.374
29
0.367
30
0.361
n
 
Researchers wondered whether the size of a person's
brain was related to the individual's mental capacity. They
selected a sample of 5 females and 5 males and
measured their MRI image pixel counts and IQ scores.
The data is reported to the right. Complete parts (a)
through (d) below.
Click the icon to view the critical values table.
Females
The linear correlation coefficient for females is 0.533.
The linear correlation coefficient for males is 0.477.
(Round to three decimal places as needed.)
Are MRI count and IQ linearly related?
Males
MRI
IQ
IQ
MRI
949,395 140
852,244 132
833,868 132 955,466 133
857,782 133
955,003 139
790,619 135 965,353 133
137 1,079,550 141
951,545
(d) Compute the linear correlation coefficient between MRI count and IQ for females. Compute the linear
correlation coefficient between MRI count and IQ for males.
0
Because the correlation coefficient for females is
0.533, is
and the absolute value of this correlation coefficient,
than 0.477, the critical value for the female data set,
between MRI count and IQ for females. Because the correlation coefficient for males is
absolute value of this correlation coefficient, is
relation exists
and the
than the critical value for the male data set,
relation exists between MRI count and IQ for males.
(Round to three decimal places as needed.)
Transcribed Image Text:Researchers wondered whether the size of a person's brain was related to the individual's mental capacity. They selected a sample of 5 females and 5 males and measured their MRI image pixel counts and IQ scores. The data is reported to the right. Complete parts (a) through (d) below. Click the icon to view the critical values table. Females The linear correlation coefficient for females is 0.533. The linear correlation coefficient for males is 0.477. (Round to three decimal places as needed.) Are MRI count and IQ linearly related? Males MRI IQ IQ MRI 949,395 140 852,244 132 833,868 132 955,466 133 857,782 133 955,003 139 790,619 135 965,353 133 137 1,079,550 141 951,545 (d) Compute the linear correlation coefficient between MRI count and IQ for females. Compute the linear correlation coefficient between MRI count and IQ for males. 0 Because the correlation coefficient for females is 0.533, is and the absolute value of this correlation coefficient, than 0.477, the critical value for the female data set, between MRI count and IQ for females. Because the correlation coefficient for males is absolute value of this correlation coefficient, is relation exists and the than the critical value for the male data set, relation exists between MRI count and IQ for males. (Round to three decimal places as needed.)
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