Question

devin recorded the number of hours he played a video game, x, and the levels he achieved, y. the regression calculator shows the equation for the line of best fit. use the equation to interpolate the values and estimate the time it would take him to get to level 5. round to the nearest half hour. hours

Explanation:

Step1: Substitute \(y = 5\) into the regression equation

The regression equation is \(y=1.62x + 0.117\). Substitute \(y = 5\) into it: \(5=1.62x+0.117\).

Step2: Solve for \(x\)

First, subtract \(0.117\) from both sides: \(5 - 0.117=1.62x\), so \(4.883 = 1.62x\). Then divide both sides by \(1.62\): \(x=\frac{4.883}{1.62}\approx3.01\). Rounding \(3.01\) to the nearest half - hour gives \(3.0\).

Answer:

\(3.0\)