Math Problem Statement
Question
A random sample of 11 experienced teachers produced the following data, where x** is the years of experience, and y** is a teacher rating score (out of a maximum of 70 points). The data are presented below in the table of values. xy
38
35
39
51
41
43
42
39
44
57
45
51
47
43
48
61
49
64
51
67
52
46 What is the equation of the regression line?
Select the correct answer below:
ˆy=8.9x−3.140
ˆy=3.140x−8.9
ˆy=4.130x−6.9
ˆy=1.340x−9.8
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Math Problem Analysis
Mathematical Concepts
Statistics
Linear Regression
Data Analysis
Formulas
Simple Linear Regression formula: ˆy = b1x + b0
Slope formula: b1 = Σ(xi - x̄)(yi - ȳ) / Σ(xi - x̄)^2
Y-intercept formula: b0 = ȳ - b1 * x̄
Theorems
Least Squares Method
Suitable Grade Level
Grades 10-12
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