Question

Which is the equation of the trend line that best describes the data shown?

Answer 1

It is observed that when x = 4, y = 5 and when x = 5, y = 6

`\begin{gathered} \text{Equation of the trend line is;} \\ y=mx+c \\ 5=4x+c\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\text{.equation 1} \\ 6=5x+c\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\text{.}\mathrm{}\text{equation 2} \end{gathered}`
`\begin{gathered} x=1 \\ \text{Put x=1 in equation 1} \\ 5=4(1)+c \\ c=5-4 \\ c=1 \end{gathered}`

Thus, the equation of the trend line is y = x + 1