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 $(1,3),(2,5),(3,7)$.