Question

it turns out this regression equation accounts for 66.1% of the variability in number of wins.

1. in the space below, describe the relationship between total number of runs allowed and total number of wins.

as more runs are allowed, the fewer wins it gets.

1. as total number of runs allowed increases by __________, we predict total number of wins to go down by __________.

Explanation:

Step1: Analyze the x-axis range

The x - axis (total runs allowed) has values from 500 to 850. Let's consider the difference between two points, say 500 and 600 (a 100 - unit increase).

Step2: Analyze the y - axis change

The y - axis (total number of wins) has a negative slope. From the scatter plot and the regression line, when the total number of runs allowed increases by 100 (a common interval on the x - axis), we can estimate the change in the number of wins. Looking at the y - axis scale (from 60 to 100), a reasonable estimate for the decrease in wins when runs allowed increase by 100 is 10 (since the slope's magnitude over a 100 - unit x - increase would lead to a 10 - unit y - decrease, considering the spread of the data and the regression line's trend).

Answer:

As total number of runs allowed increases by 100, we predict total number of wins to go down by 10. (Note: The values can be adjusted based on a more precise calculation of the slope from the regression line, but this is a reasonable estimate from the graph's scale and trend.)