Question

The relationship between the time the players on a basketball team spend practicing together in the off-season and the team's winning percentage the following season can be modeled by the equation y = 0.04x + 36, where x is the time spent practicing in hours and y is the percentage of games won. What percentage of its games should the basketball team expect to win if it practices together for 500 hours during the off-season?

Answer 1

To determine the expected winning percentage for the basketball team that practices for 500 hours, plug the value into the equation y = 0.04x + 36. After calculation, the expected winning percentage is found to be 56%.

Step-by-step explanation:

To calculate the expected winning percentage of the basketball team if it practices together for 500 hours during the off-season, we will use the given linear regression equation, y = 0.04x + 36, where x represents the time spent practicing in hours and y represents the winning percentage of games. Here's a step-by-step approach:

1. Identify the value of x (practice time): x = 500 hours.
2. Plug this value into the regression equation: y = 0.04(500) + 36.
3. Perform the multiplication: 0.04 * 500 = 20.
4. Add this result to the y-intercept (36): y = 20 + 36.
5. Calculate the sum: y = 56. This means the expected winning percentage is 56%.