(d) Write down the equation of the fitted multiple regression model. (e) Test if the regression is significant. (f) Test the significance of the coefficient for weight.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
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High blood pressure is a known risk factor for heart attack. A research team investigating
ways of reducing the incidence of heart attack in patients attending a large outpatients
clinic are interested in relating the systolic blood pressure (Y) to age in years (X₁) and
weight in kilograms (X₂). A random sample of 10 patients attending the clinic were
measured on each of these three variables. The data is tabulated below.
Y 132 143 153 162 168 137 149 159 128 166
X₁
54 61 65 46 72
52 59 67 73
X₂ 78 83 87 95 99 85 85
93 75 98
(d) Write down the equation of the fitted multiple regression model.
(e) Test if the regression is significant.
(f) Test the significance of the coefficient for weight.
Transcribed Image Text:High blood pressure is a known risk factor for heart attack. A research team investigating ways of reducing the incidence of heart attack in patients attending a large outpatients clinic are interested in relating the systolic blood pressure (Y) to age in years (X₁) and weight in kilograms (X₂). A random sample of 10 patients attending the clinic were measured on each of these three variables. The data is tabulated below. Y 132 143 153 162 168 137 149 159 128 166 X₁ 54 61 65 46 72 52 59 67 73 X₂ 78 83 87 95 99 85 85 93 75 98 (d) Write down the equation of the fitted multiple regression model. (e) Test if the regression is significant. (f) Test the significance of the coefficient for weight.
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