Question

the total amounts of rainfall at various points And time during a thunderstorm are shown in the table. time(hours) 0.4 | 1.1 | 2.9 | 3.2 | 3.7 | 4.4Rainfall(cm) 0.3 | 0.6 | 1.8 | 2.0 | 2.2 | 2.6According to a regression calculator, what is the equation of the line of best fit for the data?answers: a y= 0.06x+0.03 | b y= 0.06x+0.29 | c y=0.59x+0.03 | d y= 0.59x+0.29Please help!

Answer 1

$\begin{gathered} (x1,y1)=(1,0.6) \\ (x2,y2)=(2,1.2) \\ m=\frac{y2-y1}{x2-x1}=\frac{1.2-0.6}{2-1}=\frac{0.6}{1}=0.6 \\ y-y1=m(x-x1) \\ y-0.6=0.6(x-1) \\ y-0.6=0.6x-0.6 \\ y=0.6x\approx y=0.59x+0.03 \\ \text{Answer:} \\ y=0.59x+0.03 \end{gathered}$