Math Problem Statement
Researchers wondered if brain size has an effect on a person's IQ. From a sample of 20 individuals, the equation of the least-squares regression line is
ModifyingAbove y with caretyequals=71.8plus+0.0286x,
where x represents the size of a brain in cubic centimeters and y represents IQ. What is the interpretation of the slope?
Question content area bottom
Part 1
Choose the correct answer below.
A.
IQ is predicted to increase by 71.8 for every 1 cubic centimeter increase in brain size.
B.
IQ is predicted to be 71.8 for a brain size of 0 cubic centimeters.
C.
IQ is predicted to increase by 0.0286 for every 1 cubic centimeter increase in brain size.
D.
A person's brain size is predicted to be 0.0286 cubic centimeters if their IQ is 0.
E.
A person's brain size is predicted to increase by 71.8 cubic centimeters for every one-unit increase in their IQ.
F.
A person's brain size is predicted to increase by 0.0286 cubic centimeters for every one-unit increase in their IQ.
Solution
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Math Problem Analysis
Mathematical Concepts
Statistics
Regression Analysis
Slope Interpretation
Formulas
Least-squares regression line: y = mx + b
Theorems
Least-Squares Regression Theorem
Slope-Intercept Form
Suitable Grade Level
Grades 10-12
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