 # Jack Running

Subject Mathematics Mathematics - Other

## Question

The table shows how many miles Jack ran per week for weeks one through nine.
x y
1 3
2 5
3 6
4 9
5 10.5
6 13
7 15
8 16
9 19

Question:
a. Use the table to plot the points.
b. Describe the correlation, including whether it is strong or weak.
c. Draw a line of best fit.
d. Write the equation of a line of best fit in slope-intercept form.
e. Using the line of best fit, estimate how may miles Jack ran the 10th week; show work.
f. During which week would you expect Jack to run a full marathon, 26.3 miles? Do you think that you should round up or down to the nearest week? Why?

## Solution Preview

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It clearly suggests a very strong positive correlation between the week number and the distance ran (in miles).
The inclusion of the linear trend line yields . That´s the line of best fit. The slope is 1.9833 and the y-intercept is 0.8056....

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