Final answer:
The soccer coach motivates players by offering them an incentive to leave practice early for every goal they score. The number of goals scored is the independent variable, and the time players can leave practice early is the dependent variable. There is a positive relationship between the variables, indicating that scoring more goals leads to more time off.
Step-by-step explanation:
Problem:
A soccer coach motivates players by saying, 'for every goal you score, you can leave practice 10 minutes early.'
Solution:
a. The independent variable is the number of goals scored, and the dependent variable is the amount of time players can leave practice early.
b. Since the independent variable is the number of goals scored, we can plot the data on a scatter plot, where the x-axis represents the number of goals and the y-axis represents the time players can leave practice early.
c. From inspection, we can observe that there is a positive relationship between the variables. As the number of goals scored increases, the time players can leave practice early also increases. This indicates a motivation strategy that encourages players to score more goals.
d. To calculate the least-squares line, we can use the equation ŷ = a + bx, where ŷ represents the time players can leave practice early, x represents the number of goals scored, and a and b are constants. However, since we don't have the actual data points, we cannot perform further calculations or provide the equation or correlation coefficients.