Compute the linear correlation coefficient between MRI count and IQ. Are MRI count and IQ linearly related? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
Compute the linear correlation coefficient between MRI count and IQ. Are MRI count and IQ linearly related? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter9: Solving Quadratic Functions
Section: Chapter Questions
Problem 4CA
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Question
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(b) Compute the linear correlation coefficient between MRI count and IQ. Are MRI count and IQ linearly related? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
(Round to three decimal places as needed.)
critical values table
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
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.
AMRI
1,080,000+
780,000+
130
IQ
>
145
Q
✔
AIQ
145
1304
780,000 1,080,000
MRI
M
***
AIQ
145-
1307
780,000
Females
MRI
IQ
833,868 132
790.619 135
MRI
991,305 138 1,038,438 139
852.244 132 949,395 140
856,472 140 1,001,121
140
1,080,000
Q
Males
M
MRI
IQ
1,079,550 141
924,059 135
D
AMRI
1,080,000+
780,000
130
145
Q
Q
←
(b) Compute the linear correlation coefficient between MRI count and IQ. Are MRI count and IQ linearly related? Select the correct choice below and, if necessary, fill in the answer
box to complete your choice.
Round to three decimal places as needed.)
OA. No, MRI count and IQ are not linearly related since the linear correlation coefficient is
OB. Yes, MRI count and IQ are linearly related since the linear correlation coefficient is
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