The table shows how many miles Jack ran per week for weeks one through nine.
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?
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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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