Question
Suppose a researcher wants to evaluate the effect of cholesterol on the blood pressure. The following data on serum cholesterol (in mg/dL) and systolic blood pressure (in mm/Hg) were obtained for 15 patients to explore the relationship between cholesterol and blood pressure:
| S. No. | Cholesterol (mg/dL) | SBP (mm/Hg) | ||||
| 1 | 300 | 150 | ||||
| 2 | 410 | 270 | ||||
| 3 | 380 | 210 | ||||
| 4 | 530 | 310 | ||||
| 5 | 570 | 350 | ||||
| 6 | 490 | 310 | ||||
| 7 | 340 | 210 | ||||
| 8 | 320 | 150 | ||||
| 9 | 280 | 110 | ||||
| 10 | 550 | 320 | ||||
| 11 | 340 | 220 | ||||
| 12 | 350 | 170 | ||||
| 13 | 410 | 260 | ||||
| 14 | 390 | 230 | ||||
| 15 | 450 | 270 | ||||
(i) Fit a linear regression model using the method of least squares.
(ii) Construct the normal probability plot for the data on serum cholesterol and systolic blood pressure. (iii) Test the significance of the fitted regression model.
Answer :
Word Count : 115
Here are the results of the numerical analysis: ### (i) Fitting a Linear Regression Model: The estimated regression equation is: \[ \text{SBP} = -62.91 + 0.7338 \times \text{Cholesterol} _______ ________ __________ _____ ______.
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Here are the results of the numerical analysis: ### (i) Fitting a Linear Regression Model: The estimated regression equation is: \[ \text{SBP} = -62.91 + 0.7338 \times \text{Cholesterol} _______ ________ __________ _____ ______.
_________ ______ _________ _____ _______ ___ _____ _________ ____ _______ _________.
___ _______ _________ _____ ______ _______ ____ _________.
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____ _______ ________ _______ __________ ______ _________ _____ _______ _____ _______ ___.
_______ ________ ________ _______ ___.
________ _____ _____.
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