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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 Males females

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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 Males females and 5 males and measured their MRI image pixel counts and IQ scores. The data is reported to the right. Complete parts (a) MRI MRI through (d) below. 856,472 140 955,003 139 Click the icon to view the critical values table. 816,932 949.589 144 790.619 135 1,079,550 141 857 782 133 924.059 135 833.868 132 935 494 141 (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.) O A. No, MRI count and IQ are not linearly related since the linear correlation coefficient is O B. Yes, MRI count and IQ are linearly related since the linear correlation coefficient is (c) Draw a scatter diagram, but use a different plotting symbol for each gender. Choose the correct diagram below. O A. B. O C. OD. AMRI AIQ AMRI 1,080.000- 145 1,080.000- 780.000 HHHHHH 780.000-HHHHHHHH> 130 145 780.000 1.080,000 780.000 1.080.000 130 145 MRI MRI 10 (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.) Are MRI count and IQ linearly related? Because the correlation coefficient for females is positive and the absolute value of this correlation coefficient, , is greater than . the critical value for the female data set, a positive relation exists between MRI count and IQ for females. Because the correlation coefficient for males is | positive and the absolute value of this correlation coefficient, , is not greater than the critical value for the male data set. . a positive relation exists between MRI count and IQ for males. (Round to three decimal places as needed.) What is the moral? While MRI count and IQ are negatively related for the population as a whole, MRI count and IQ are | positively related for each individual gender

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