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Year 10 Maths Advanced Single Variable and Bivariant Statistics

Line of Best Fit

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Questions
Question 1
209565

The scatter plot shows the distance from school, \(d\) km, and the travel time to school, \(T\) minutes, of 10 students. A line of best fit has been drawn.

Distance from school and travel timeScatter plot of travel time T minutes against distance from school d km for 10 students, with a line of best fit drawn. Horizontal axis 0 to 10 km, vertical axis 0 to 55 minutes, grid every 1 km and every 5 minutes. 0 1 2 3 4 5 6 7 8 9 10 0 5 10 15 20 25 30 35 40 45 50 55 Distance from school, d (km) Travel time, T (min)

(a) Read two points on the line of best fit, and use them to find its equation in terms of \(d\) and \(T\).

(b) What does the gradient mean in this context?

Part a:
A.
\(T = 4d + 10\)
Correct
B.
\(T = 0.25d + 10\)
C.
\(T = 10d + 4\)
D.
\(T = 4d + 30\)
Part b:
A.
the travel time increases by about 4 minutes for each extra 1 km
Correct
B.
a student who lives at the school takes 4 minutes
C.
the travel time increases by about 10 minutes for each extra 1 km
D.
the distance increases by 4 km for each extra minute

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