Math Problem Statement
The data below represent the number of days absent, x, and the final grade, y, for a sample of college students at a large university. Complete parts (a) through (e) below. No. of absences, x 0 1 2 3 4 5 6 7 8 9
Final grade, y 89.3 86.5 83.5 81.1 78.1 73.8 64.5 68.8 65.9 63.1 Question content area bottom Part 1 (a) Find the least-squares regression line treating the number of absences, x, as the explanatory variable and the final grade, y, as the response variable. ModifyingAbove y with caretequals enter your response herexplusleft parenthesis nothing right parenthesis (Round to three decimal places as needed.)
Solution
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Math Problem Analysis
Mathematical Concepts
Statistics
Linear Regression
Correlation
Formulas
y = b0 + b1x (Least-squares regression line)
Slope formula: b1 = Σ[(x - mean_x)(y - mean_y)] / Σ(x - mean_x)^2
Theorems
Least-Squares Method
Linearity in Regression
Suitable Grade Level
College Level
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