Question

Adrianna gathered data on different schools' winning percentages and the average yearly salary of their head coaches (in millions of dollars) in the years

2000
20002000-
2011
20112011. She then created the scatter plot and trend line shown at left. Assuming the line correctly shows the trend in the data, what does it mean that the line's
�
yy-intercept is
39
3939?

Answer 1

Answer: 39%

Explanation:The

�

yy-intercept of the model describes the average

�

yy value when

�

=

0

x=0x, equals, 0.

In this case,

�

=

0

x=0x, equals, 0 refers to coaches with a salary of

0

00 million dollars.

Hint #2

The model indicates that teams with coaches who had a salary of

0

00 million dollars will average a winning percentage of approximately

39

%

39%39, percent.

Answer 2

the average yearly salary of head coaches is $39 million.

Step-by-step explanation:

The y-intercept of a trend line represents the value of the dependent variable (average yearly salary of head coaches) when the independent variable (winning percentage) is equal to zero. In this case, if the winning percentage is zero, the average yearly salary of head coaches is $39 million.

However, it's important to note that extrapolating beyond the range of the data can be risky and may not accurately predict the relationship between the two variables. Additionally, correlation does not imply causation, so we cannot conclude that a higher winning percentage causes higher salaries for head coaches. There may be other factors at play, such as the size of the school's athletic program, the team's revenue, or the coach's experience and qualifications.