How Can I Determine the Best Fit Line for My Driving Data?

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Homework Statement



On a recent trip to Moncton my driving log reads as:
1 hr, 0km
20min, 10km
1hr, 80km
20min, 0km
1hr, 110km
40min, 70km
15min, 10km
a) Plot the distance as a function of time and determine a good linear approximation. (d=at+b)

b) Since there are a number of straight lines that might fit this data, what mathematical test could you think of to determine what might be the "best fit" to the data.

c. Enter into excel and fit a 'treadline' to data.

d. How does the treadline match with my answer.

e) Could you use the approximation to estimate the time required to travel to st John (412km). Explain.

Homework Equations





The Attempt at a Solution


Already have it graphed and given a line of best fit.

Really need help with B

Entered into excel already

Should I compare the slope and y-intercept?

are there toomany variables to include that would make this approximation useless? or could you use it.

Thanks, Just need a steer in the right direction.
 
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