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

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
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 Because the correlation coefficient for females is data set, coefficient, , is (Round to three decimal places as needed.) IQ MRI 833.868 132 790,619 135 991,305 138 852,244 132 856,472 140 Males MRI IQ 1,079,550 141 924,059 135 1,038,438 139 949.395 140 1,001,121 140 and the absolute value of this correlation coefficient. . is relation exists between MRI count and IQ for females. Because the correlation coefficient for males is than the critical value for the male data set, (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 0.434. The linear correlation coefficient for males is 0.694 (Round to three decimal places as needed.) Are MRI count and IQ linearly related? WIRE than the critical value for the female and the absolute value of this correlation relation exists between MRI count and IQ for males.

Question

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 Researchers wondered whether the size of a person's brain was related to the individual'smental capacity. They selected a sample of 5 females and 5 males and measured theirMRI 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.FemalesBecause the correlation coefficient for females isdata set,coefficient, , is(Round to three decimal places as needed.)IQMRI833.868 132790,619 135991,305 138852,244 132856,472 140MalesMRI IQ1,079,550 141924,059 1351,038,438 139949.395 1401,001,121 140and the absolute value of this correlation coefficient. . isrelation exists between MRI count and IQ for females. Because the correlation coefficient for males isthan the critical value for the male data set,(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 0.434.The linear correlation coefficient for males is 0.694(Round to three decimal places as needed.)Are MRI count and IQ linearly related?WIREthan the critical value for the femaleand the absolute value of this correlationrelation exists between MRI count and IQ for males.

Accepted Answer

The given sample size is 5.