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

ANSWER:

$y=0.14x+1.14$

STEP-BY-STEP 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

$m=\frac{y_2-y_1}{x_2-x_1}$

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

$m=\frac{19.3-15.5}{130-102}=0.1357\cong0.14$

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:

$y=0.14x+1.14$