Question

18. Tree Circumference and Height The table below lists circumferences (in feet) and the heights (in feet) of trees in Marshall, Minnesota (based on data from Tree Measurements, by Stanley Rice, American Biology Teacher, Vol circumference of 4.0 ft and use a 99% confidence level. Comment on the range of values in the prediction interval. . 61, No. 9). For the prediction interval, use a Circumference 1.8 1.9 1.8 2.45.1 3.1 5.5 5.1 8.3 13.7 5.3 4.9 Height 21.0 33.5 24.6 40.7 73.2 24.9 40.4 45.3 53.5 93.8 64.0 62.7

Please show how to solve by hand, not technology.

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Answer #1

AePedietion interval 유 Y for a given n ㅈ is n a qiven is (M-1)晴 n-ins Hepe let os ₩rst consider a linea ro cegpession model of on a+bx, u, hepe a and b ane model manamerere Yiatme predie ted vaue, P= 0.55귀4.. ,· 丫.= 23.899 + 4.1225叽 ㄚ 40.389 Now Nou hou to ealewate tme seope fop a →Look up tne dr(be, e de=10) in the left hand sid eoPtn et distrcomment: A prediction interval is where we expect a future value to fall.It can be said that the future values will fall in that range 99% of the time.

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