MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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A multiple regression model is to be constructed to predict the heart rate in beats per minute (bpm) of a person based upon their age, weight and height. Data has been collected on 10 randomly selected individuals:
Heart Rate Age Weight Height
81 51 211 71
83 41 108 69
112 48 216 69
63 34 105 69
99 47 226 66
82 37 102 64
57 23 122 62
70 27 261 67
88 24 251 72
62 38 101 61
Copy-and-paste the data into an Excel spreadsheet. Use Excel to perform all calculations.
a) Calculate the multiple regression equation using all three explanatory variables. Write the equation in the answer blank. Round all of the equation coefficient values to two (2) decimal places. You may use the variables names or replace them with y, x1, x2, and x3.
b) What percentage of variation in heart rates is explained by the regression model using all three variables?
c) Using the 10% level of significance, which predictor variables are statistically significant predictors of heart rate?
d) Remove the Height variable and re-calculate the regression equation. Write the new equation. Round to two (2) decimal places.
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