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 54 61 65 46 72 X₁ 52 59 67 73 74 X₂ 78 83 87 95 99 85 85 93 75 98 (c) Estimate the values of the parameters of the model. (d) Write down the equation of the fitted multiple regression model.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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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
(c) Estimate the values of the parameters of the model.
(d) Write down the equation of the fitted multiple regression 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 52 59 67 73 74 54 61 65 46 72 X₂ 78 83 87 95 99 85 85 93 75 98 (c) Estimate the values of the parameters of the model. (d) Write down the equation of the fitted multiple regression model.
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