IB Mathematics Analysis and Approaches Question Type 2: Calculating the Linear Relationship Between the Data in the Form Y=ax+b Exercises

Find the equation of the line passing through the points $(1,2),(2,1),(3,0),\text{ and }(4,-1)$ in the form $y=ax+b$.

Find the linear relationship $y=ax+b$ that passes through the five points $(0,0),(1,3),(2,6),(3,9),(4,12)$.

For the points $(1,2),(2,3),(3,6)$, find the best-fit line $y=ax+b$ by computing the exact regression parameters.

Determine $y=ax+b$ by least squares for the six points $(1,4),(2,6),(3,8),(4,9),(5,7),(6,5)$.

Determine the equation $y=ax+b$ passing through the points $(0,5)$ and $(3,11)$.

Calculate the linear relationship in the form $y=ax+b$ for the data points $(1,2)$ and $(2,4)$.

Determine the least-squares line $y=ax+b$ for the data $(0,5),(2,7),(4,9),(6,11),(8,13)$.

Find the best-fit line $y=ax+b$ for the eight points $(1,2),(2,3),(3,5),(4,7),(5,11),(6,13),(7,17),(8,19)$.

Find the regression line $y=ax+b$ for the points $(1,2),(2,5),(3,7),(4,10),(5,11)$.

Find the equation of the line passing through the points $(1,7)$, $(3,3)$ and $(5,-1)$ in the form $y=ax+b$.

Determine $y=ax+b$ for the data $(2,3),(4,6),(6,9),(8,12)$.

Find the linear equation $y=ax+b$ that fits exactly the three points $(1,3),(2,5),(3,7)$.