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. 1,080,000- 780,000 145 AMRI AIQ 130+ 130 780.000 IQ 145 MRI Q ✔ 1,080,000 1,080,000- Q 780,000 G MIRI 130 1,080,000 IQ (c) Draw a scatter diagram, but use a different plotting symbol for each gender. Choose the correct diagram below. A OB. O C. AMRI 780,000 130 145 10 Q 145 ... Alle (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.) A. Yes, MRI count and IQ are linearly related since the linear correlation coefficient is 0.657. OB. No, MRI count and IQ are not linearly related since the linear correlation coefficient is Q 145- 1304 780,000 MRI IQ MRI 852,244 132 MRI IQ 949,395 140 833,868 132 955,466 133 857,782 133 955,003 139 790,619 135 965,353 133 951,545 137 1,079,550 141 1,080,000- Females AMRI 1,080,000 780,000+ 130 10 Males 145 ✔ 145 AIW 130+ 780,000 1,080,000 O D. 145 AIQ MRI 130+ 780,000 1,080,000 (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 The linear correlation coefficient for males is (Round to three decimal places as needed.) ✔ MRI
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. 1,080,000- 780,000 145 AMRI AIQ 130+ 130 780.000 IQ 145 MRI Q ✔ 1,080,000 1,080,000- Q 780,000 G MIRI 130 1,080,000 IQ (c) Draw a scatter diagram, but use a different plotting symbol for each gender. Choose the correct diagram below. A OB. O C. AMRI 780,000 130 145 10 Q 145 ... Alle (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.) A. Yes, MRI count and IQ are linearly related since the linear correlation coefficient is 0.657. OB. No, MRI count and IQ are not linearly related since the linear correlation coefficient is Q 145- 1304 780,000 MRI IQ MRI 852,244 132 MRI IQ 949,395 140 833,868 132 955,466 133 857,782 133 955,003 139 790,619 135 965,353 133 951,545 137 1,079,550 141 1,080,000- Females AMRI 1,080,000 780,000+ 130 10 Males 145 ✔ 145 AIW 130+ 780,000 1,080,000 O D. 145 AIQ MRI 130+ 780,000 1,080,000 (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 The linear correlation coefficient for males is (Round to three decimal places as needed.) ✔ MRI
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
Related questions
Question
Solve d
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
|
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.
1,080,000+
780,000
AMIRI
145-
IQ
130
130
780,000
IQ
145
MRI
1,080,000
AMIRI
Ⓡ
1,080,000-
Q
780,000
130
(c) Draw a scatter diagram, but use a different plotting symbol for each gender. Choose the correct diagram below.
A.
O B.
O C.
IQ
1,080,000-
MRI
780,000
130
145
IQ
145
←
Q
145
Q
NIW
Η
130
780,000
(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.)
A. Yes, MRI count and IQ are linearly related since the linear correlation coefficient is 0.657
OB. No, MRI count and IQ are not linearly related since the linear correlation coefficient is
MRI
IQ
IQ
MRI
MRI
852,244 132 949,395 140
833,868 132
857,782 133
133
139
955,466
955,003
790,619 135
965.353
951,545 137 1,079,550 141
133
1,080,000-
AMRI
Females
780,000+
1,080,000
130
IQ
M
145
Males
Q
D
AIW
145-
130+
780,000
O
D.
AIQ
1451
130-
780,000
MRI
(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
The linear correlation coefficient for males is
(Round to three decimal places as needed.)
1,080,000
MRI
Q
1,080,000
P
Q
O
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