Heat treatment to kill fruit flies on mangoes
predicted proportion,
Use this diagram to explain that a linear model predicts proportions outside [0, 1] for extreme values of the explanatory variable.
Drag the vertical red line to see the predicted proportion dying at different temperatures. At temperatures over 45.5 degrees, the least squares linear model predicts that more than 100% of the fruit flies will die.
Select Nonlinear model from the pop-up menu and repeat, noting that a nonlinear model is needed to ensure that the predictions are always between 0 and 1.
In an experiment to assess the effectiveness of heat-treatment of mangoes as a method of killing fruit fly eggs and larvae, several infested fruit were heat-treated at temperatures ranging from 39 to 46 degrees Celsius. The numbers of fruit fly eggs surviving at each temperature are shown in the table below.
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