The systolic blood pressure of individuals is thought to be related to both age and weight. Let the systolic blood pressure, age, and weight be represented by the variables x1, x2, and x3, respectively. Suppose that Minitab was used to generate the following descriptive statistics, correlations, and regression analysis for a random sample of 15 individuals. Descriptive Statistics Variable N Mean Median TrMean StDev SE Mean x 1 15 154.14 154.34 154.14 3.842 0.992000 x 2 15 59.69 60.19 59.69 1.462 0.377487 x 3 15 205.55 204.75 205.55 4.558 1.176871 Variable Minimum Maximum Q1 Q3 x 1 125 178 141.803 167.244 x 2 41 80 47.754 78.415 x 3 126 240 140.395 224.008 Correlations (Pearson) x 1 x 2 x 2 0.892 x 3 0.839 0.567 Regression Analysis The regression equation is x 1 = 0.883 + 1.257x2 + 0.871x3 Predictor Coef StDev T P Constant 0.883 0.635 1.39 0.095 x 2 1.257 0.635 1.98 0.036 x 3 0.871 0.419 2.08 0.030 S = 0.428 R-sq = 92.7 % R-sq(adj) = 92.8 % Find a 90% confidence interval for the coefficient of in the regression equation. Round your final answers to three decimal places.
The systolic blood pressure of individuals is thought to be related to both age and weight. Let the systolic blood pressure, age, and weight be represented by the variables x1, x2, and x3, respectively. Suppose that Minitab was used to generate the following descriptive statistics, correlations, and regression analysis for a random sample of 15 individuals. Descriptive Statistics Variable N Mean Median TrMean StDev SE Mean x 1 15 154.14 154.34 154.14 3.842 0.992000 x 2 15 59.69 60.19 59.69 1.462 0.377487 x 3 15 205.55 204.75 205.55 4.558 1.176871 Variable Minimum Maximum Q1 Q3 x 1 125 178 141.803 167.244 x 2 41 80 47.754 78.415 x 3 126 240 140.395 224.008 Correlations (Pearson) x 1 x 2 x 2 0.892 x 3 0.839 0.567 Regression Analysis The regression equation is x 1 = 0.883 + 1.257x2 + 0.871x3 Predictor Coef StDev T P Constant 0.883 0.635 1.39 0.095 x 2 1.257 0.635 1.98 0.036 x 3 0.871 0.419 2.08 0.030 S = 0.428 R-sq = 92.7 % R-sq(adj) = 92.8 % Find a 90% confidence interval for the coefficient of in the regression equation. Round your final answers to three decimal places.
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 2AGP
Related questions
Question
The systolic blood pressure of individuals is thought to be related to both age and weight. Let the systolic blood pressure, age, and weight be represented by the variables x1, x2, and x3, respectively. Suppose that Minitab was used to generate the following descriptive statistics, correlations, and regression analysis for a random sample of 15 individuals.
| Descriptive Statistics | ||||||
| Variable | N | Mean | Median | TrMean | StDev | SE Mean |
| x 1 | 15 | 154.14 | 154.34 | 154.14 | 3.842 | 0.992000 |
| x 2 | 15 | 59.69 | 60.19 | 59.69 | 1.462 | 0.377487 |
| x 3 | 15 | 205.55 | 204.75 | 205.55 | 4.558 | 1.176871 |
| Variable | Minimum | Maximum | Q1 | Q3 |
| x 1 | 125 | 178 | 141.803 | 167.244 |
| x 2 | 41 | 80 | 47.754 | 78.415 |
| x 3 | 126 | 240 | 140.395 | 224.008 |
| Correlations (Pearson) | ||
| x 1 | x 2 | |
| x 2 | 0.892 | |
| x 3 | 0.839 | 0.567 |
Regression Analysis
The regression equation is
x 1 = 0.883 + 1.257x2 + 0.871x3
| Predictor | Coef | StDev | T | P |
| Constant | 0.883 | 0.635 | 1.39 | 0.095 |
| x 2 | 1.257 | 0.635 | 1.98 | 0.036 |
| x 3 | 0.871 | 0.419 | 2.08 | 0.030 |
| S = 0.428 | R-sq = 92.7 % | R-sq(adj) = 92.8 % |
Find a 90% confidence interval for the coefficient of in the regression equation. Round your final answers to three decimal places.
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