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Least Squares Regression Analysis

Statistics

A study on calculating the least squares regression line and verifying the sum of residuals.

Regression Mathematics Data Analysis
10 Questions Hard Ages 16+ Aug 27, 2026

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About this Study Set

This study set covers Statistics through 10 practice questions. A study on calculating the least squares regression line and verifying the sum of residuals. Every question includes the correct answer so you can learn as you go — pick any format above to get started.

Questions & Answers

Browse all 10 questions from the Least Squares Regression Analysis study set below. Each question shows the correct answer — select a study format above to practice interactively.

1 What is the general form of the least squares regression line?
  • A y = a + bx
  • B y = mx + c
  • C y = ax + b
  • D y = bx + a
2 What is the value of the sum of the residuals (Σe_i)?
  • A 1
  • B 0.259
  • C 0
  • D 0.72
3 What is the calculated sum of the squares of the residuals (Σe_i²)?
  • A 0.259
  • B 1.33
  • C 16.9
  • D 0.0784
4 In the equation y = 0.72 + 1.33x, what is the intercept 'a'?
  • A 1.33
  • B 0.72
  • C 10
  • D 16.9
5 In the equation y = 0.72 + 1.33x, what is the slope 'b'?
  • A 0.72
  • B 1.33
  • C 10
  • D 16.9
6 What is the estimated value of y when x = 0?
  • A 0
  • B 0.72
  • C 1.33
  • D 2.05
7 What is the estimated value of y when x = 1?
  • A 0.72
  • B 1.33
  • C 2.05
  • D 3.38
8 What is the estimated value of y when x = 2?
  • A 2.05
  • B 3.38
  • C 4.71
  • D 6.04
9 What is the estimated value of y when x = 3?
  • A 3.38
  • B 4.71
  • C 6.04
  • D 7.37
10 What is the estimated value of y when x = 4?
  • A 4.71
  • B 6.04
  • C 7.37
  • D 8.70
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