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 - 2011. she then created the following scatterplot and regression line. the fitted line has a y - intercept of 39. what is the best interpretation of this y - intercept? choose 1 answer: a on average, each 1 million dollar increase in salary was associated with a 39% increase in winning percentage. b the model indicates that teams with coaches who had a salary of 0 million dollars will average a winning percentage of 39%. c the average winning percentage was 39%. d the average salary was 39 million dollars.

Explanation:

In a linear - regression model \(y = mx + b\), the \(y\) - intercept \(b\) is the value of \(y\) when \(x = 0\). Here, \(y\) is the winning percentage and \(x\) is the average yearly salary of head coaches. So when the salary \(x = 0\) million dollars, the winning percentage \(y\) is predicted to be \(39\%\) according to the regression model.

Answer:

B. The model indicates that teams with coaches who had a salary of 0 million dollars will average a winning percentage of 39%.