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(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 enter your response here.   2.The linear correlation coefficient for males is enter your response here.

(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 enter your response here.   2.The linear correlation coefficient for males is enter your response here.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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(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.
 
  1. The linear correlation coefficient for females is
    enter your response here.
 

2.The linear correlation coefficient for males is enter your response here.

 

Cirticul value 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
**Understanding Brain Size and IQ Correlations** Researchers set out to explore whether there is a relationship between brain size and intelligence (IQ). They conducted a study using a sample of 5 females and 5 males, measuring their MRI image pixel counts along with their IQ scores. Below is the data collected: ### Data Table | | Females | | | Males | | |-----------|------------|----------|----------|------------|-----------| | MRI | IQ | MRI | IQ | MRI | IQ | | 833,868 | 132 | 1,079,550| 141 | | 790,619 | 135 | 924,059 | 135 | | 991,305 | 138 | 1,038,438| 139 | | 852,244 | 132 | 949,395 | 140 | | 856,472 | 140 | 1,001,121| 140 | ### Graph Analysis There are two scatter plots provided: 1. **Scatter Plot for Females:** - **Axes:** The x-axis represents MRI pixel counts (ranging from 780,000 to 1,080,000), and the y-axis represents IQ scores (ranging from 130 to 145). - **Data Points:** Five purple dots indicate the data points for females, showing the relationship between MRI counts and IQ. 2. **Scatter Plot for Males:** - **Axes:** Similar to the female plot, the x-axis ranges from 780,000 to 1,080,000 for MRI counts, and the y-axis from 130 to 145 for IQ scores. - **Data Points:** Five blue dots represent data points for males, showing the relationship between MRI counts and IQ. (d) **Calculations:** - **Compute the Linear Correlation Coefficient (r):** - Calculate the correlation for both females and males separately to understand how strongly MRI counts are related to IQ scores within each gender. - **Round values to three decimal places as needed.** This study aims to quantify the strength of the relationship between brain size (as indicated by MRI counts) and intelligence, which could provide insight into biological factors behind IQ.
Transcribed Image Text:**Understanding Brain Size and IQ Correlations** Researchers set out to explore whether there is a relationship between brain size and intelligence (IQ). They conducted a study using a sample of 5 females and 5 males, measuring their MRI image pixel counts along with their IQ scores. Below is the data collected: ### Data Table | | Females | | | Males | | |-----------|------------|----------|----------|------------|-----------| | MRI | IQ | MRI | IQ | MRI | IQ | | 833,868 | 132 | 1,079,550| 141 | | 790,619 | 135 | 924,059 | 135 | | 991,305 | 138 | 1,038,438| 139 | | 852,244 | 132 | 949,395 | 140 | | 856,472 | 140 | 1,001,121| 140 | ### Graph Analysis There are two scatter plots provided: 1. **Scatter Plot for Females:** - **Axes:** The x-axis represents MRI pixel counts (ranging from 780,000 to 1,080,000), and the y-axis represents IQ scores (ranging from 130 to 145). - **Data Points:** Five purple dots indicate the data points for females, showing the relationship between MRI counts and IQ. 2. **Scatter Plot for Males:** - **Axes:** Similar to the female plot, the x-axis ranges from 780,000 to 1,080,000 for MRI counts, and the y-axis from 130 to 145 for IQ scores. - **Data Points:** Five blue dots represent data points for males, showing the relationship between MRI counts and IQ. (d) **Calculations:** - **Compute the Linear Correlation Coefficient (r):** - Calculate the correlation for both females and males separately to understand how strongly MRI counts are related to IQ scores within each gender. - **Round values to three decimal places as needed.** This study aims to quantify the strength of the relationship between brain size (as indicated by MRI counts) and intelligence, which could provide insight into biological factors behind IQ.
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