6.1 Linear and Non-Linear Relations

Report 1 / 5

Based on the following table, both variables are related linearly.

\(x\)	\(-3\)	\(-2\)	\(-1\)	\(0\)	\(1\)	\(2\)	\(3\)
\(y\)	\(-17\)	\(0\)	\(5\)	\(4\)	\(3\)	\(8\)	\(25\)

Difficulty Level: Medium

Report 2 / 5

Write the equation of the straight line of best fit of the following graphs.

Difficulty Level: Medium

Report 3 / 5

Write the equation of the straight line of best fit of the following graphs.

(A)		\(\begin{aligned} \log_{10}y&=4x +7\end{aligned}\)

(B)		\(\begin{aligned} \log_{10}y&=-4x +7\end{aligned}\)

(C)		\(\begin{aligned} \log_{10}y&=5x +7\end{aligned}\)

(D)		\(\begin{aligned} \log_{10}y&=-5x +7\end{aligned}\)

Difficulty Level: Hard

Report 4 / 5

The diagram shows the line of best fit obtained by plotting \(y^2\) against \(\sqrt{x}\).

Find the exact value of \(x\) when \(y=\dfrac{18}{7}\).

Difficulty Level: Hard

Report 5 / 5

The diagram shows the line of best fit obtained by plotting \(y^2\) against \(x\).

Find the exact value of \(x\) when \(y=\dfrac{14}{5}\).

Difficulty Level: Hard