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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 52 59 67 73 74 54 61 65 46 72 X₂ 78 83 87 95 99 85 85 93 75 98 (a) State an appropriate multiple regression model for the data. Specify all nota- tion/symbols and assumptions. (b) Represent the model using matrix and vector notation. (c) Estimate the values of the parameters of the model.

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 52 59 67 73 74 54 61 65 46 72 X₂ 78 83 87 95 99 85 85 93 75 98 (a) State an appropriate multiple regression model for the data. Specify all nota- tion/symbols and assumptions. (b) Represent the model using matrix and vector notation. (c) Estimate the values of the parameters of the model.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
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 74 X₂ 78 83 87 95 99 85 85 93 75 98 (a) State an appropriate multiple regression model for the data. Specify all nota- tion/symbols and assumptions. (b) Represent the model using matrix and vector notation. (c) Estimate the values of the parameters of the model.
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 74 X₂ 78 83 87 95 99 85 85 93 75 98 (a) State an appropriate multiple regression model for the data. Specify all nota- tion/symbols and assumptions. (b) Represent the model using matrix and vector notation. (c) Estimate the values of the parameters of the model.
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