Question Type 2: Calculating the linear relationship between the data in the form y=ax+b Exercises

Find the equation $y=ax+b$ of the line through $(0,0)$ and $(5,10)$.

Write the equation of the line $y=ax+b$ passing through $(-1,2)$ and $(3,14)$.

Find the equation of the line $y=ax+b$ passing through the points $(1,3)$ and $(4,11)$.

Determine the straight line $y=ax+b$ through $(-2,5)$ and $(2,-1)$.

Find the linear relation $y=ax+b$ fitting $(\! -1,-2)$, $(0,1)$, $(1,4)$ exactly.

Given points $(1,2),(2,5),(3,8)$, show they lie on a line $y=ax+b$ and find its equation.

Show that $(0,3),(3,9),(6,15)$ lie on a line and give its equation $y=ax+b$.

Determine the exact line through $(2,4),(4,10),(6,16)$ in the form $y=ax+b$.

Find the least-squares regression line $y=ax+b$ for the data $(1,2),(2,3),(3,5),(4,4)$.

Determine the regression line $y=ax+b$ for $(0,1),(1,2),(2,1.5),(3,3.5)$ by least squares.

Find by least squares the line $y=ax+b$ best fitting $(1,2),(2,5),(3,7),(4,10)$.

Using least squares, determine $y=ax+b$ for the data $(-1,0),(0,1),(1,1.8),(2,2.3),(3,3)$.