Are MRI count and IQ linearly related? Because the correlation coefficient for females is negative/positiveand the absolute value of this correlation coefficient,enter your response here#, is greater/not greater than enter your response here#,the critical value for the female data set,no/a positive/a negativerelation exists between MRI count and IQ for females. Because the correlation coefficient for males is negative/positive and the absolute value of this correlation coefficient,enter your response here#, is greater/not greater than the critical value for the male data set,enter your response here#,no/a positive/a negative relation exists between MRI count and IQ for males.(Round to three decimal places as needed.) Critical value table3 0.9974 0.9505 0.8786 0.811 7 0.7548 0.7079 0.66610 0.63211 0.60212 0.57613 0.55314 0.53215 0.51416 0.49717 0.48218 0.46819 0.45620 0.44421 0.43322 0.42323 0.41324 0.40425 0.39626 0.38827 0.38128 0.37429 0.36730 0.361 **Educational Exercise: Analyzing Correlation Between Brain Size and IQ**Researchers investigated if an individual's brain size is associated with mental capacity. A sample consisting of 5 females and 5 males was selected, and both MRI image pixel counts and IQ scores were measured. The data provided consists of MRI counts and IQ scores for each participant.**Data Table:**- **Females:** - MRI: 833,868 | IQ: 132 - MRI: 790,619 | IQ: 135 - MRI: 991,305 | IQ: 138 - MRI: 852,244 | IQ: 126 - MRI: 856,472 | IQ: 140- **Males:** - MRI: 1,079,550 | IQ: 141 - MRI: 924,059 | IQ: 135 - MRI: 1,038,438 | IQ: 139 - MRI: 949,495 | IQ: 136 - MRI: 1,001,121 | IQ: 140**Instructions for Analysis:**Consider the following computational tasks and questions:1. **Compute Linear Correlation Coefficients:** - For females, the correlation coefficient is **0.434**. - For males, the correlation coefficient is **0.694**. - Coefficients are rounded to three decimal places.2. **Inquiry on Linear Relationship:** - Are MRI counts and IQ scores linearly related?3. **Based on the Correlation Coefficient for Females:** - Compare the correlation coefficient with the critical value for the female data set. - If the absolute value of the correlation coefficient is greater than the critical value, a significant relationship exists between MRI count and IQ.4. **Based on the Correlation Coefficient for Males:** - Determine the relationship by comparing the absolute value of the correlation coefficient to the critical value for the male data set.**Completing this analysis on brain size and IQ provides insight into whether a statistical relationship exists within the dataset based on the observed linear correlation coefficients.**

Answered: (d) Compute the linear correlation…

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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Related questions

Question

Are MRI count and IQ linearly related?

Because the correlation coefficient for females is negative/positive
and the absolute value of this correlation coefficient,

enter your response here#, is greater/not greater than enter your response here#,

the critical value for the female data set,no/a positive/a negative
relation exists between MRI count and IQ for females. Because the correlation coefficient for males is negative/positive and the absolute value of this correlation coefficient,

enter your response here#, is greater/not greater than the critical value for the male data set,

enter your response here#,no/a positive/a negative relation exists between MRI count and IQ for males.

(Round to three decimal places as needed.)

Critical 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