1.The weight and systolic blood pressure of 26 randomly selected males in the age group 25 to 30 are shown in the following table. Assume that weight and blood pressure are jointly normally distributed. Subject Weight Systolic BP Subject Weight Systolic BP 1 165 130 14 172 153 2 167 133 15 159 128 3 180 150 16 168 132 4 155 128 17 174 149 5 212 151 18 183 158 6 175 146 19 215 150 7 190 150 20 195 163 8 210 140 21 180 156 9 200 148 22 143 124 10 149 125 23 240 170 11 158 133 24 235 165 12 169 135 25 192 160 13 170 150 26 187 159 (a) Find a regression line relating systolic blood pressure to weight. (b) Test for significance of regression using ? = 0.05 (c) Estimate the correlation coefficient.
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The weight and systolic blood pressure of 26 randomly selected males in the age group 25 to 30 are shown in the following table. Assume that weight and blood pressure are jointly normally distributed. (a) Find a regression line relating systolic blood pressure to weight. (b) Test for significance of regression using α = 0.05 (c) Estimate the correlation coefficient.
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The weight and systolic blood pressure (SBP) of 15 randomly selected males in the age group 25 to 30 are shown in Table E11-8. Assume that weight and blood pressure are jointly normally distributed. Table E11-8 Weight and Blood Pressure Data Subject 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Weigth 165 167 180 155 212 175 190 210 200 149 158 169 170 172 159 SBP 130 133 150 128 151 146 150 140 148 125 133 135 153 150 128 The partial solutions are given below with missing values. Analysis of Variance Source DF Adj SS Adj MS F-Value P-Value Regression ? 635,5 ? ? 0,007 Error ? ? 60,81 Total ? 1426,0 Model Summary S R-sq R-sq(adj) 7,79789 44,57% 40,30% a) Define the dependent and independent variables, and find the regression equation, and explain the coefficients. (4+10+6 p) b) Test the hypothesis that regression model is adequate. Use α=0.05. (10 p) c) Explain the terms given as "Model Summary". (10 p)
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Constructing a Scatter Plot and Determining Correlation $(a)$ display the data in a scatter plot, $(b)$ calculate the sample correlation coefficient $r,$ and $(c)$ describe the type of correlation and interpret the correlation in the context of the data. The ages (in years) of 10 men and their systolic blood pressures (in millimeters of mercury) $$\begin{array}{|l|l|l|l|l|l|l|l|l|l|l|} \hline \text { Age, } \boldsymbol{x} & 16 & 25 & 39 & 45 & 49 & 64 & 70 & 29 & 57 & 22 \\ \hline \begin{array}{l} \text { Systolic blood } \\ \text { pressure, } \boldsymbol{y} \end{array} & 109 & 122 & 143 & 132 & 199 & 185 & 199 & 130 & 175 & 118 \\ \hline \end{array}$$
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