This activity will you meet these educational goals:
you will draw a scatter plot and the line of best fit to analyze a situation.

jeremy is on the planning committee for the rock climbing club. he is putting together a trip where members can go outdoor rock climbing. he is trying to determine how high the group should climb and how long the trip should last. he calls multiple parks in the area that offer rock climbing and collects data on the height of the rock formations and the average time it takes people to reach the top and come back down. the data he found is shown.

time to climb (min) height (feet)
30 85
45 120
115 298
87 194
160 434
60 241
135 351
117 339
55 180
145 400
95 248
150 370
67 155
120 296
100 271
88 255
138 315
75 215
167 405
120 317

"examine the residual plot of the data. does the residual plot indicate that a linear function is the best function to use to model the data? or does it indicate that a nonlinear function would be a better fit? give your reason."