A gym teacher uses three exercises to increase arm strength: ...

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A gym teacher uses three exercises to increase arm strength: push-ups, pull-ups, and rope climbing.  He has 10 students in small class.  The exercises consist of doing as many push-ups as possible in 2 minutes.  After a rest the student does as many push-ups as possible in 2 minutes.  After a rest the student climbs a rope and the time is recorded in seconds.  The data for this class is given below.  Construct a 95% prediction interval for the Rope Climb Time if the student's Pull-ups are 22.

Push-ups ​	Pull-ups ​	Rope Climb	​	Push-ups ​	Pull-ups ​	Rope Climb
16	13	69	​	17	19	68
18	20	56	​	23	22	49
24	25	46	​	21	21	52
22	18	59	​	20	16	63
19	15	65	​	16	17	74

◦ (38.89, 66.65)
◦ (41.70, 64.85)
◦ The result is not reliable because the predictor variable is not a good indicator of the Rope Climb Time.
◦ (47.09, 58.45)

[Moriaki]

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