Math Problem Statement
Mr. Washington compiled a list of his Algebra 2 students’ current class grades against their total absences. Absences Grade 2 88 1 100 3 91 5 82 9 55 4 82 7 71 3 98 10 68 7 63 2 100 4 92 5 81 3 87 8 81 0 96 2 75 1 88 5 59 2 95 Which of the following functions represents the linear model that will make the best predictions of Mr. Washington’s students’ class grades based on how many classes they have missed? A.g(x)=−2.8x+93 B.g(x)=−3.5x+97 C.g(x)=−3.7x+98 D.g(x)=−4.2x+101
Solution
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Math Problem Analysis
Mathematical Concepts
Linear Regression
Algebra
Formulas
y = mx + b (Equation of a line)
m = (n(Σxy) - (Σx)(Σy)) / (n(Σx^2) - (Σx)^2)
b = ((Σy)(Σx^2) - (Σx)(Σxy)) / (n(Σx^2) - (Σx)^2)
Theorems
Least Squares Method
Suitable Grade Level
Grades 10-12
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