Math Problem Statement
Suppose a doctor measures the height, x, and head circumference, y, of 8 children and obtains the data below. The correlation coefficient is
0.9690.969
and the least squares regression line is
ModifyingAbove y with caret equals 0.200 x plus 11.950y=0.200x+11.950.
Complete parts (a) and (b)**** below.
Height, x
27.2527.25
25.2525.25
26.2526.25
25.2525.25
27.527.5
26.7526.75
25.7525.75
26.7526.75
2727
26.7526.75
26.7526.75 Head Circumference, y
17.317.3
17.017.0
17.217.2
17.017.0
17.517.5
17.317.3
17.117.1
17.317.3
17.417.4
17.317.3
17.317.3
Question content area bottom
Part 1
(a)**** Compute the coefficient of determination,
Upper R squaredR2.
Upper R squaredR2equals=enter your response here%
(Round to one decimal place as needed.)
Solution
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Math Problem Analysis
Mathematical Concepts
Correlation
Regression Analysis
Coefficient of Determination
Formulas
Coefficient of determination: R² = r²
Linear regression equation: y = mx + b
Theorems
Least Squares Method
Properties of Correlation Coefficient
Suitable Grade Level
Grades 10-12
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