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of lightbulbs in the package (strong relationship) and when one of the variables goes up, the other variable tends to go up, too (positive relationship).”
Student Task Statement
For each situation, describe the relationship between the variables, based on the correlation coe cient. Make sure to mention the strength of the relationship as well as how an increase in one variable tends to impact the other.
1. Number of steps taken per day and number of kilometers walked per day.
2. Temperature of a rubber band and distance the rubber band can stretch.
3. Car weight and distance traveled using a full tank of gas.
4. Average fat intake per citizen of a country and average cancer rate of a country.
5. Score on science exam and number of words written on the essay question.
6. Average time spent listening to music per day and average time spent watching TV per day.
Student Response
1. There is a strong, positive relationship. An increase in the number of kilometers walked tends to go along with an increase in the number of steps taken per day.
2. There is a strong, positive relationship. An increase in temperature tends to go along with an increase in the distance a rubber band can stretch.
3. There is a strong, negative relationship. An increase in the weight of a car tends to go along with a decrease in the distance it can travel on a full tank of gas.
4. There is a moderate positive relationship. An increase in the fat intake per citizen of a country tends to go along with an increase in the average cancer rate of a country, but not strong.
5. There is a weak, positive relationship. An increase in the number of words written on the essay questions tends to go along with an increase on the score for a science exam, but the relationship is weak.
6. There is a weak, negative relationship. An increase in the average time spent listening to music per day tends to go along with a decrease in the average time spent watching TV per day, although the relationship is weak.
Activity Synthesis
The purpose of this discussion is for students to interpret the data based on the relationship between the two variables that they determined using the correlation coe cient.
Ask,
Unit 3 Lesson 8: Using the Correlation Coe cient 131