Question

the value of a bicycle was recorded over a period of five years. based on how the plot of the residuals might look, would a linear function that passes through (0,250) and (4,25) be a good fit for the data shown? bicycle prices value of bicycle (in dollars) 300 250 200 150 100 50 0 1 2 3 4 5 x age of bicycle (in years) yes, the residuals would be randomly distributed. yes, the residuals would tend to be one - sided. no, the residuals would tend to be one - sided. no, the residuals would be randomly distributed.

Explanation:

Step1: Visualize the line

A line passing through $(0,250)$ and $(4,25)$ would have a steep negative slope.

Step2: Analyze data points

Most of the data points seem to be below the line that would be formed by these two points. So the residuals (actual - predicted) for most points would be negative, making them one - sided.

Answer:

C. No, the residuals would tend to be one - sided.