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Year 10 Maths - 10A Statistics

Line of Best Fit by Eye

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Question 1
29757

The table shows the weekly sales (in millions of dollars) of a song download in the weeks after its release.

\begin{array}{|l|l|l|l|l|l|l|l|l|}
\hline \text { Week } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\
\hline \text { Sales (\$ million) } & 19 & 15 & 13 & 11 & 10 & 8 & 7 & 5 \\
\hline
\end{array}

a) What is the equation of the line of best fit, given that it passes through the points \((5,10)\) and \((6,8)\)?
b) Use the line to predict the sales in week 9.
c) In which week does the line predict sales of \(\$0\)?

Part a:
A.
\(y = -2x + 20\)
Correct
B.
\(y = 2x + 20\)
C.
\(y = -2x + 10\)
D.
\(y = -\tfrac{1}{2}x + 12.5\)
Part b: (b) \(\$\) 
2
 million 1 mark
Part c: (c) Week 
10
1 mark

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