2025/2026 | Portage Learning | Verified
Questions and Answers | A+ Graded
Section 1: Introduction
This document provides the verified exam content for Module 8 of MATH 110 – Statistics
from Portage Learning, fully updated for the 2025/2026 academic year. It includes 100%
correct answers to questions covering correlation, regression analysis, and simple linear
regression. Graded A+ and aligned with Portage Learning’s online curriculum, this guide
offers essential support for success in introductory statistical coursework.
Section 2: Exam Questions and Answers
Format: Multiple-choice and problem-based questions
Four answer choices per question (A–D)
Correct answer highlighted
Includes brief explanations for key terms and concepts
Question 1
Question: What does a correlation coefficient measure?
A) Causation between variables
B) Strength and direction of a linear relationship
C) Slope of the regression line
D) Variability in data
B) Strength and direction of a linear relationship
Explanation: Correlation (r) ranges from -1 to 1.
Question 2
Question: What does a correlation coefficient of 0 indicate?
A) Strong positive relationship
B) Strong negative relationship
C) No linear relationship
D) Perfect fit
C) No linear relationship
Explanation: r = 0 means no linear association.
Question 3
Question: If r = 0.8, what type of correlation exists?
A) Weak positive
B) Moderate positive
C) Strong positive
D) No correlation
, C) Strong positive
Explanation: r > 0.7 indicates a strong positive relationship.
Question 4
Question: What is the range of the correlation coefficient?
A) -1 to 0
B) 0 to 1
C) -1 to 1
D) -10 to 10
C) -1 to 1
Explanation: Reflects direction and strength.
Question 5
Question: What is the equation of a simple linear regression line?
A) y = mx + b
B) y = a + bx
C) y = β₀ + β₁x
D) All of the above
D) All of the above
Explanation: All are equivalent forms.
Question 6
Question: What does the slope (b) in a regression equation represent?
A) Intercept
B) Change in y per unit change in x
C) Correlation coefficient
D) Error term
B) Change in y per unit change in x
Explanation: Measures the effect of x on y.
Question 7
Question: If the correlation coefficient is -0.6, what is the relationship?
A) Weak negative
B) Moderate negative
C) Strong negative
D) No relationship
B) Moderate negative
Explanation: -0.6 indicates a moderate negative correlation.
Question 8
Question: What is the coefficient of determination (R²) if r = 0.9?
A) 0.7
B) 0.81
C) 0.9