Question

rita is starting a running program. the table shows the total number of miles she runs in different weeks. what is the equation of the line of best fit for the data? state each number to the thousandths place. y≈x+

Explanation:

Step1: Input data into regression calculator

Input the \(x\)-values (Week: \(1,2,4,6,8,10\)) and \(y\)-values (Miles Run: \(5,8,13,15,19,20\)) into a linear regression calculator.

Step2: Obtain slope (\(m\)) and y - intercept (\(b\))

Using the linear regression formula \(y = mx + b\), the calculator gives \(m\approx1.729\) and \(b\approx3.071\) (rounded to the thousandths place).

Answer:

\(y\approx1.729x + 3.071\)