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MAT 131 Unit #2 Exam (2025/2026) – 28 Solved Questions on Regression, Correlation, Scatterplots, Residuals, & Statistical Reasoning

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This fully solved exam guide for MAT 131 Unit #2 (2025/2026) features 28 exam questions with 100% correct answers, making it an ideal resource for students seeking excellence in introductory statistics and applied quantitative reasoning. The questions are based on real-world data scenarios and cover a wide range of statistical topics, including: Correlation and regression analysis (including interpretation of r, slope, and intercept) Scatterplot analysis, identifying associations and outliers Residuals, extrapolation, and influential points Understanding explanatory vs. response variables Real-life applications in health, economics, education, and consumer behavior Statistical reasoning with categorical and numerical data Each question is paired with a clear, correct answer, making it easy to test your knowledge and reinforce learning. The document mirrors the style and structure of real exam content, making it perfect for self-study, tutoring, or classroom support. Ideal for students enrolled in: Introductory Statistics College Algebra with Data Analysis Business Statistics Quantitative Methods Social Science Research Methods Health Sciences & Public Health courses with statistical components This resource is also helpful for students in STEM, social sciences, economics, nursing, education, psychology, or any field requiring foundational data literacy. Keywords: regression, correlation, scatterplots, residuals, explanatory variable, response variable, slope, intercept, r-value, statistical reasoning, extrapolation, influential points, real-world data, prediction, regression equation, association strength, data interpretation, categorical variables, quantitative analysis

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MAT 131 Unit #2 Exam 2025/2026 Exam
Questions with 100% Correct Answers |
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Score - 🧠 ANSWER ✔✔100/100


An economist conducted a study of the possible association between weekly

income and weekly grocery expenditures. The particular interest was whether

higher income would cause shoppers to spend more on groceries. A random

sample of shoppers at a local supermarket was obtained. A questionnaire was

administered asking about the weekly income of each shopper's family and their

grocery bill for that week. The gender of each shopper was also obtained. The

relationship between grocery expenditure and income was assessed by calculating

both a correlation for the females only and a correlation for the males only. For the

females, r = 0.45 and for the males, r = 0.38. We conclude that: - 🧠 ANSWER

, ✔✔the relationship between grocery expenditures and income is stronger for

females.

What can be said of the correlation between the brand of an automobile and its

quality? - 🧠 ANSWER ✔✔Correlation makes no sense here, because brand is a

categorical variable.

An economist conducted a study of the possible association between weekly

income and weekly grocery expenditures. The particular interest was whether

higher income would result in shoppers spending more on groceries. A random

sample of shoppers at a local supermarket was obtained, and a questionnaire was

administered asking about the weekly income of the shopper's family and the

grocery bill for that week. The gender of the shopper was also obtained. The

correlation was found to be r = 0.8056. The amount of variation in the response

explained by the regression line is: - 🧠 ANSWER ✔✔64.9%


The volume of oxygen consumed (in liters per minute) while a person is at rest and

while a person is exercising (running on a treadmill) were both measured for 50

subjects. The goal is to determine if the volume of oxygen consumed during

aerobic exercise can be estimated from the amount consumed at rest. The results

are plotted below. The scatterplot suggests that there is: - 🧠 ANSWER ✔✔both a

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