Question

researchers wondered whether the size of a persons brain was related to the individuals 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. (a) draw a scatter diagram treating mri count as the explanatory variable and iq as the response variable. choose the correct diagram below. a. b. c. d. females: mri - 866662, 833868, 857782, 991306, 790619; iq - 130, 132, 133, 138, 135. males: mri - 1030430, 935494, 955003, 1079550, 949395; iq - 139, 141, 139, 141, 140.

Explanation:

Step1: Identify Variables

Explanatory: MRI count (x - axis), Response: IQ (y - axis). So x - axis should be MRI (ranging ~780k - 1.08M), y - axis IQ (~130 - 145).

Step2: Analyze Options

• Option A: x = MRI, y = IQ. Data points: Females (lower MRI, IQ 130 - 138), Males (higher MRI, IQ 139 - 141). Plot should show MRI (x) increasing, IQ (y) generally increasing. A has x as MRI (780k - 1.08M), y as IQ (130 - 145), matching variable roles.
• Option B: x = IQ, y = MRI (wrong roles, explanatory should be x).
• Option C: y - axis IQ but data points seem misaligned (e.g., low MRI with high IQ inconsistent).
• Option D: x = IQ, y = MRI (wrong roles).

Answer:

A