Question

The coaches of a group of debate teams answered a survey about hours of debate, team practice and number of team wins. The graph shows the results of this survey. Which equation best represents the line of best fit?

a

y = 7x + 5

b

y = -2x + 1

c

y = 4x + 2

d

y = 4x + 8

Answer 1

Explanation:

287

Route

Answer 2

The equation that best represents the line of best fit is y = 4x + 2. Option C is the right choice.

In the context of the survey on debate teams, this linear equation suggests that there is a positive correlation between the number of hours of debate practice (x) and the number of team wins (y).

The coefficient of 4 indicates that for every one-unit increase in the hours of debate practice, the predicted number of team wins increases by 4.

The y-intercept of 2 suggests that even with zero hours of debate practice, the model predicts a baseline of 2 team wins.

This equation captures the overall trend observed in the survey data and serves as a suitable representation of the relationship between hours of debate practice and team wins, providing a mathematical basis for making predictions within the scope of the survey results.
ption C is the right choice.