Question

Laura went to a golf shop that has a golf simulator. The simulator estimates the distance that each ball she hits would have gone. She hit five balls each with her 2, 3, 4, 5, 6, 7, 8, and 9 irons. The distances of her golf shots are given in the table. Keep this table window open as you work on the tasks in this activity.
When Laura graphed the data, she got this scatter plot and drew a line of best fit. Keep the scatter plot window open as you work on the tasks in this activity.

When her brother graphed the data, he got a different scatter plot and drew a line of best fit. Keep the scatter plot window open as you work on the tasks in this activity.

Part A
Whose scatter plot matches the data, and what is wrong with the incorrect scatter plot?

Part B
Using the correct graph, describe the association shown

Part C
What is the slope of the line in the correct graph? What is the slope of the line in the incorrect graph? Are the slopes the same or different?

Part D
What is the y-intercept of the correct graph? What is the y-intercept of the incorrect graph? Are the y-intercepts the same?

Part E
If Laura were able to find a 0 iron, about how far could she hit it?

Part F
About what is the average change in distance for each increase of 1 in the iron number? What does this mean in terms of the situation?

Answer 1

Answer:

I can only help you with Part C and E as these two are the ones I am able to answer.

Part C: slopes are not the same

Part E:  195 yards

Step-by-step explanation:

Part C:

Part E: The slope of the line follows a linear pattern; therefore, find the equation for the line by calculating the slope and plugging in a point.

Slope:

y2-y1/x2-x1; (9, 105) (8,115)

(115-105)/(8-9) = -10; the slope is -10, now solve for the equation of the line.

y=mx+b; plug in the point (9,105)

105 = -10(9) +b

105 = -90 +b, add 90 to both sides

195 = b; rewrite the equation;

y=-10x+195; x stands for the iron, plug in 0 for x;

y=-10(0)+195

y=195 yards.