The systolic blood pressure of individuals is thought to be related to both age and weight. For a random sample of 11 men, the following data were obtained.Systolic Blood pressuex1Age (years)x2Weight (pounds)x31325217314359184153671941627321115464196168742201375418814961188159652071284616716672217 a) For each pair of variables, generate the correlation coefficient r. Compute the corresponding coefficient of determination r2. (Use 3 decimal places.) rr2x1, x2 x1, x3 x2, x3 b) What percent of the variation in x1 can be explained by the corresponding variation in x2? Answer the same question for x3. (Use 1 decimal place.)x2 _____%x3 _____%(c) Perform a regression analysis with x1 as the response variable. Use x2 and x3 as explanatory variables. Look at the coefficient of multiple determination. What percentage of the variation in x1 can be explained by the corresponding variations in x2 and x3 taken together? (Use 1 decimal place.) _____ %

Relative to mean the variable which has higher CV has higher spread and lower CV has lower spread So…

Answered: The systolic blood pressure of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Related questions

Question

The systolic blood pressure of individuals is thought to be related to both age and weight. For a random sample of 11 men, the following data were obtained.

Systolic Blood pressue x₁	Age (years) x₂	Weight (pounds) x₃
132	52	173
143	59	184
153	67	194
162	73	211
154	64	196
168	74	220
137	54	188
149	61	188
159	65	207
128	46	167
166	72	217

a) For each pair of variables, generate the correlation coefficient r. Compute the corresponding coefficient of determination r². (Use 3 decimal places.)

	r	r²
x₁, x₂
x₁, x₃
x₂, x₃

b) What percent of the variation in x₁ can be explained by the corresponding variation in x₂? Answer the same question for x₃. (Use 1 decimal place.)

x₂	_____%
x₃	_____%

(c) Perform a regression analysis with x₁ as the response variable. Use x₂ and x₃ as explanatory variables. Look at the coefficient of multiple determination. What percentage of the variation in x₁ can be explained by the corresponding variations in x₂ and x₃ taken together? (Use 1 decimal place.) _____ %