Present an argument that var should be proportional

Reference no: EM13903654

The following data represent travel times in a downtown area of a certain city. The independent, or input, variable is the distance to be traveled.

Distance(miles)	5	1	1.5	2	3	4	5	6	8	10
Travel Time(minutes)	15	15.1	16.5	19.9	27.7	29.7	26.7	35.9	42	49.4

Assuming a linear relationship of the form

Y = α + βx + e

between Y , the travel time, and x, the distance, how should we estimate α and β? To utilize the weighted least squares approach we need to know, up to a multiplicative constant, the variance of Y as a function of x. We will now present an argument that Var(Y) should be proportional to x.

Reference no: EM13903654

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