Which one of the following pairs of variables is likely to have a positive correlation? Number of hours you train at a skill and the number of mistakes you make doing that skill The speed of a car and the time to its destination Your height and your intelligence The square footage of a home and its price The number of alcohol you drink and your driving ability A person's height and their favorite color Which one of the following pairs of variables is likely to have a negative correlation? The number of miles run and the number of calories burned A person's height and their favorite color The speed of a car and the time to its destination The square footage of a home and its price Years of education and salary Which of the following pairs of variables are likely to have a positive correlation? Check all that apply. The speed of a car and the time to its destination Years of education and salary A person's height and their favorite color The square footage of a home and its price The number of miles run and the number of calories burned

Sure, let's analyze each pair of variables to determine their likely correlations. --- ### **1. Which one of the following pairs of variables is likely to have a positive correlation?** - **Number of hours you train at a skill and the number of mistakes you make doing that skill** - *Likely Negative Correlation:* More training usually leads to fewer mistakes. - **The speed of a car and the time to its destination** - *Negative Correlation:* Higher speed generally means less time to reach the destination. - **Your height and your intelligence** - *No Significant Correlation:* Height and intelligence are generally unrelated. - ****The square footage of a home and its price** - ***Positive Correlation:*** Larger homes typically cost more. - **The number of alcohol you drink and your driving ability** - *Negative Correlation:* Increased alcohol consumption generally impairs driving ability. - **A person's height and their favorite color** - *No Significant Correlation:* These variables are unrelated. **Answer:** **The square footage of a home and its price** is the pair likely to have a positive correlation. --- ### **2. Which one of the following pairs of variables is likely to have a negative correlation?** - **The number of miles run and the number of calories burned** - *Positive Correlation:* More miles run typically means more calories burned. - **A person's height and their favorite color** - *No Significant Correlation:* These variables are unrelated. - ****The speed of a car and the time to its destination** - ***Negative Correlation:*** Higher speed usually results in less time to reach the destination. - **The square footage of a home and its price** - *Positive Correlation:* Larger homes generally have higher prices. - **Years of education and salary** - *Positive Correlation:* More years of education often lead to higher salaries. **Answer:** **The speed of a car and the time to its destination** is the pair likely to have a negative correlation. --- ### **3. Which of the following pairs of variables are likely to have a positive correlation?** *Check all that apply.* - **The speed of a car and the time to its destination** - *Negative Correlation:* Higher speed usually reduces travel time. - ****Years of education and salary** - ***Positive Correlation:*** More education typically leads to higher salaries. - **A person's height and their favorite color** - *No Significant Correlation:* These variables are unrelated. - ****The square footage of a home and its price** - ***Positive Correlation:*** Larger homes generally cost more. - ****The number of miles run and the number of calories burned** - ***Positive Correlation:*** More miles run usually means more calories burned. **Answers to Check:** - **Years of education and salary** - **The square footage of a home and its price** - **The number of miles run and the number of calories burned** --- Feel free to reach out if you have more questions on correlations or any other topic!