Question

of a person's height in centimeters) and the length of their foot (în centimeters). Calculate the line of best fit for the data

Answer 1

`y=0.14x+1.14`

Explanation:

We have that the equation in its slope and intercept form is the following

`\begin{gathered} y=mx+b \\ \text{where m is the slope and b is y-intercept} \end{gathered}`

We calculate the slope with the following formula

`m=(y_2-y_1)/(x_2-x_1)`

We replace the following points (102, 15.5) and (130, 19.3)

`m=(19.3-15.5)/(130-102)=0.1357\cong0.14`

Now we calculate the value of b, knowing the slope and the point (102, 15.5)

`\begin{gathered} 15.5=102\cdot0.14+b \\ b=1.22 \end{gathered}`

Therefore, the closest equation is:

`y=0.14x+1.14`