Questions: 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. Females Males MRI IQ MRI IQ 991,305 138 949,395 140 951,545 137 924,059 135 816,932 133 965,353 133 833,868 132 955,003 139 790,619 135 1,079,550 141 (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.

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. Females Males MRI IQ MRI IQ 991,305 138 949,395 140 951,545 137 924,059 135 816,932 133 965,353 133 833,868 132 955,003 139 790,619 135 1,079,550 141 (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.
Transcript 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. \begin{tabular}{|cc|cc} \hline \multicolumn{2}{c|}{ Females } & \multicolumn{2}{c}{ Males } \\ MRI & IQ & MRI & IQ \\ \hline 991,305 & 138 & 949,395 & 140 \\ \hline 951,545 & 137 & 924,059 & 135 \\ \hline 816,932 & 133 & 965,353 & 133 \\ \hline 833,868 & 132 & 955,003 & 139 \\ \hline 790,619 & 135 & $1,079,550$ & 141 \\ \hline \end{tabular} (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.
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Solution

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Solution Steps

Step 1: Identify the Variables
  • The problem requires us to draw a scatter diagram with MRI count as the explanatory variable (x-axis) and IQ as the response variable (y-axis).
Step 2: Analyze the Data
  • The data provided includes MRI counts and IQ scores for 5 females and 5 males.
  • We need to plot MRI counts on the x-axis and IQ scores on the y-axis.
Step 3: Choose the Correct Scatter Diagram
  • Examine the given scatter diagrams (A, B, C, D) to determine which one correctly plots MRI counts on the x-axis and IQ scores on the y-axis.

Final Answer

  • The correct scatter diagram is B. This diagram correctly places MRI counts on the x-axis and IQ scores on the y-axis.
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