Question

example 1
determine whether each scatter plot shows a positive, negative, or no correlation. if the correlation is positive or negative, describe its meaning in the situation.

1. calories burned during exercise
2. library fines
3. weight-lifting
4. car dealership revenue

Explanation:

1. For the "Calories Burned During Exercise" scatter plot: As time (minutes) increases, calories burned decrease, so this is a negative correlation.
2. For the "Library Fines" scatter plot: There is no clear upward or downward trend between number of books borrowed and fines, so this is no correlation.
3. For the "Weight-Lifting" scatter plot: As weight (pounds) increases, number of repetitions increases, so this is a positive correlation.
4. For the "Car Dealership Revenue" scatter plot: As the year increases, revenue (hundreds of thousands) increases, so this is a positive correlation.

Answer:

1. Negative correlation: As exercise time increases, calories burned decrease.
2. No correlation: There is no consistent relationship between number of books borrowed and library fines.
3. Positive correlation: As weight lifted increases, number of repetitions increases.
4. Positive correlation: As the year progresses, car dealership revenue increases.