Finding handle time

Question

If a positive habit adoption rate is 0% of a team, the handle time per contact of that team is 10:11 min. If the habit adoption rate increase to 6.23%, handle time decreased to 9.31 min. What will be the handle time if the habit adoption rate increase to 50%

Answer 1

The two points on the trend line are (0, 10.183) and (6.23, 9.31)

the slope of this trend line is (9.31 - 10.183)/(6.23-0) = -0.14018191546281433921883360085602

The trend line equation is then y = -0.14018191546281433921883360085602 X + 10.183

where X is the adoption rate and y is the handle time

At x=50%, the estimated handle time is -0.14018191546281433921883360085602*50+10.183

or 3.174237560192616372391653290532