An exercise physiologist wants to determine how speed on an exercise bike affects heart rate. The data for one person are shown in the following table. Speed (mph) 0.0 0.5 1.0 1.5 2.5 3.0 3.5 Pulse (bpm) 61 65 67 75 2.0 76 80 87 4.0 91 95 (a) Find the least-squares regression for these data where speed is the independent variable, x, and pulse rate in beats per minute (bpm) is the dependent variable. (Round your numerical answers to two decimal places.) 9 = (b) Assuming the regression line is accurate for higher speeds, what is the expected pulse rate (in bpm) for someone traveling 5 mph? Round to the nearest whole number. bpm

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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An exercise physiologist wants to determine how speed on an exercise bike affects heart rate. The data for one person are shown in the following table. (a) Find the least-squares regression for these data where speed is the independent variable, x, and pulse rate in beats per minute (bpm) is the dependent variable. (Round your numerical answers to two decimal places.) y= ? (b) Assuming the regression line is accurate for higher speeds, what is the expected pulse rate (in bpm) for someone traveling 5 mph? Round to the nearest whole number. ? bpm
An exercise physiologist wants to determine how speed on an exercise bike affects heart rate. The data for one person are shown in the following table.
Speed (mph) 0.0
Pulse (bpm)
0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0
61 65 67
75
76
80 87 91 95
(a) Find the least-squares regression for these data where speed is the independent variable, x, and pulse rate in beats per minute (bpm) is the dependent variable. (Round your numerical answers
to two decimal places.)
ŷ =
(b) Assuming the regression line is accurate for higher speeds, what is the expected pulse rate (in bpm) for someone traveling 5 mph? Round to the nearest whole number.
bpm
Transcribed Image Text:An exercise physiologist wants to determine how speed on an exercise bike affects heart rate. The data for one person are shown in the following table. Speed (mph) 0.0 Pulse (bpm) 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 61 65 67 75 76 80 87 91 95 (a) Find the least-squares regression for these data where speed is the independent variable, x, and pulse rate in beats per minute (bpm) is the dependent variable. (Round your numerical answers to two decimal places.) ŷ = (b) Assuming the regression line is accurate for higher speeds, what is the expected pulse rate (in bpm) for someone traveling 5 mph? Round to the nearest whole number. bpm
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