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.
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F17176ae9-b253-442d-89f9-517b049b4c59%2Ffab8846c-e32a-49d1-b758-329259915db3%2F0kpqqti_processed.png&w=3840&q=75)
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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