In: Statistics and Probability
A fitness instructor wants to understand the relationship between her heart rate during a workout and the calories burned per minute during the workout. She recorded these two measurements over the course of several workouts. StatCrunch was used to create the output below:
For any numeric responses, round your answers to four decimal places.
Answer:
(a)
The model is;
y' = 0.0614x-1.7339
Predicted value for X = 150 is
y' = 0.0614*150-1.7339 = 7.4761
(b)
Here we need to make a confidence interval for predicted value of number of calories for an individual whose heart rate is 150 beats per minute so prediction interval will be used.
(c)
the number of calories is between 6.6374 and 8.3230 when average heart rate is 150 beats per minute.
[OR]
Solution:
a)
The estimated regression equation is given by Y = a + bX
Where Y : dependent variable
X : independent variable
a : Y - intercept
b : slope
thus the equation is Y = -1.7339468 + 0.061427752 (X)
substituting X = 150 in the equation we get
Y = -1.7339468 + 0.061427752 (150)
Y = 7.4802
b) prediction interval
c) we estimate the individual calories burned is between 6.6374 and 8.3230 when the average heart rate is 150 beats per minute
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