Question

Suppose Derrick is an insect enthusiast who measured the body length and weight of three insects in his backyard. His data are shown in the table. Length (mm)Weight (mg) Variable Insect l Insect 2 Insect 3 yi 20 30 50 15 25 Derrick used the data to compute the least squares regression line У 1.5x + 10.833 Calculate the residual value for each of Derricks data points and the sum of the residual values. Report your answers precise to three decimal places Residual 1 Residual 2: Residual 3: Sum of the residuals:

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Below table has all calculations and the answer.

Length Weigth Predicted Weight (yA) Residual Variable Insect 1 Insect 2 Insect 3 Sum of Residuals y-y 20 30 50 18.333 1.667 33.333 -3.333 48.333 1.667 15 25 1.667 Residual 2 3.333 1.667 Sum of residuals 0.001 Residual 1 Residual 3

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