Archers need to use arrows that do not bend easily. Th e table shows how the weight of
an arrow affects its spine, or the distance the center of the arrow bends when a certain
constant weight is attached. Graph the data in the table to find a linear and a quadratic
model for the data. Use the regression feature on your calculator to find each model.
Which model is a better fit? Explain.
weight (in grams) 140,150,170,175,205
weight (in inches) 1.4,1.25, .93, .78, .43

Question

Archers need to use arrows that do not bend easily. Th e table shows how the weight of 
an arrow affects its spine, or the distance the center of the arrow bends when a certain 
constant weight is attached. Graph the data in the table to find a linear and a quadratic 
model for the data. Use the regression feature on your calculator to find each model. 
Which model is a better fit? Explain.
weight (in grams) 140,150,170,175,205
weight (in inches) 1.4,1.25, .93, .78, .43