Question

interpolating data
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.
linear regression
$y = 1.62x+0.117; r\approx0.92$

Explanation:

Step1: Set y=5 in regression equation

$5 = 1.62x + 0.117$

Step2: Solve for x

$x = \frac{5 - 0.117}{1.62} = \frac{4.883}{1.62} \approx 3.014$

Step3: Round to nearest half hour

$3.014 \approx 3.0$

Answer:

3.0