Question

isla kept track of the number of hours and number of laps she swam each week over a six month period. the scatter plot shows her results. estimate the line of best fit, and use the line to fill in the drop - downs. for each increase of 1 drop - down, the average drop - down increases by about drop - down

Explanation:

Step1: Analyze the scatter - plot variables

The x - axis represents time (in hours) and the y - axis represents the number of laps. We are looking at the relationship between time (independent variable) and the number of laps (dependent variable).

Step2: Estimate the slope (rate of change)

We can pick two points on the line of best fit. Let's assume a point \((x_1,y_1)=(1,40)\) and \((x_2,y_2)=(9,260)\) (approximate points on the line of best fit). The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\).

$$m=\frac{260 - 40}{9 - 1}=\frac{220}{8}=27.5\approx30$$

Answer:

For each increase of 1 hour, the average number of laps increases by about 30.