Suppose a researcher wants to evaluate the effect of cholesterol on th

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.

23 Mar 2023

Answer :

Word Count : 637

(i) Fit a linear regression model using the method of least squares.

To fit a linear regression model, we first need to find the slope (b1) and the y-intercept (b0) using the method of least squares. The formulae for these values are:

b1 = Σ((xi - x_mean) * (yi - y_mean)) / Σ((xi - x_mean)^2)
b0 = y_mean - b1 * x_mean

where xi and yi are individual data points, and x_mean and y_mean are the means of x and y, respectively.

Here's the summary of the data provided:

Cholesterol (x): 300, 410, 380, 530, 570, 490, 340, 320, 280, 550, 340, 350, 410, 390, 450
SBP (y): 150, 270, 210, 310, 350, 310, 210, 150, 110, 320, 220, 170, 260, 230, 270

First, we ______ ________ __________ _________ _________.
_________ _______ _______ ___ ________ __________ ________ _______ ______ ________.
_____ __________ ____ _______ _______ __________ ____ _______.
_________ _______ ______ _______ _____.
_____ ______ ________ ________ ___ _____ __________ _________.
________ ______ ____ ___ _________ ______ _____ _________.
__________ ___ ________ ____ ____ ______ ___ ___.
__________ _________ _____ _____ ____ _____ _________ ______ _____ __________.
___ ______ __________ _____ ___ __________ ______ ______.
_____ ___ _________ ______ _____ ___ __________ _________.
________ _____ ______ __________ _______.
________ _______ ________ ____ ______ ________ _________ _______ ____ ________ ______.
_____ _______ ______ ____ ____ ________ ________ ____ _____ ________ ______ _______.
_________ _________ ________ _________ ___ ___ _____ _________ _________ ___ ______.
_____ ____ __________ ___ ____ __________ ________ ____ _________ _____.
_____ ______ __________ ______ ________ ___.
_____ ______ ___ ___ ___.
_______ _____ _____ ____ ________ ________ ____ ____ ____ _______ _______.
__________ ______ ______ ____ __________ _______ __________.
___ _____ ______ ___ _______ _____ ________ ________ ____ _________.
________ ________ _____ _____ _________ _________.
________ ____ ______ _______ ______.
_______ _____ _______ _________ _____ _______ ______ _______ __________.
______ _____ ___ _______ ____ ___ _______ __________ ______ ___ __________ ______.
_____ _____ ____ ________ ___ ________ ____ __________.
_________ ______ _______ _______ _______.
______ __________ __________ ________ _______ _______ _____ ____.
______ _______ _______ ___ ________ __________ _________ ________.
________ ___ ____ __________ __________ ______ ________.
__________ _______ __________ __________ _____ ___ ________ _______.
_____ ___ ______ _________ ____ _________ _______ ____ ________ _____.
_______ ______ _____ _____ _______ __________ _____ ___ _______ ________ ____.
_________ _________ ___ _______ __________ _________ ____ _______ __________ _____ ________.
______ _______ _____ ________ _______ ______ __________ _____.
_____ ________ ___ _________ ____ _____ __________.
___ _______ ___ _______ _______ _______ ____ ______ ______.
__________ ______ _____ ____ ______ ___ __________ __________ ______.
______ ________ ______ ______ ___ _______ __________ ___ _______.
_______ ______ _______ ___ __________ _________ ___.
__________ ___ _____ ___ ____ ____ _________.
________ _____ ____ ______ ____ ______ _________ ________.
_________ ___ ____ ________ __________ _______ _____.
_________ __________ __________ __________ _______ _____ _________ _____ ________ _______.
____ _______ __________ _________ ____.
______ ______ _____ ___ ___ _______ ___ _________ ________ _______.
___ ____ _________ _____ ________ ____ ______.
_______ ______ _____ ______ _____ _____ ________ ____ _______ ________ ___.
________ ________ _______ ______ __________.
_________ ______ _______ ___ ________ ____.
_____ ___ ____ ________ _________ ______ _____ _______.
_______ ____ _______ __________ ______ _____ ____ _______ _________ ____ ________ ________.
____ ________ __________ ________ _________ ___ _____ ________ _____ ___ ________.
_____ __________ ________ __________ ____ ______ _____ ______ ____ _____ ___.
_______ _____ _________ _______ ____ _____ _____ _______.
__________ ____ ___ ______ ___ ___ ___ _____.
___ __________ ________ ___ _______ _______ ___ _______ ______ ____ ________ _____.
_____ ________ ______ _____ __________ ___ _______ __________ __________ _______.
_________ ________ _________ _________ ___ ___ _________ ______ ___.
___ _________ __________ ____ _______ _______ _______ ___ ________ _________ ________.
___ _________ ____ _____ ______ _______ ________ ______ ________ ____.
____.
Get Full Answer on WhatsApp

IGNOU Solved Assignments Assignments Ignou Projects Project Previous Year Solved Exam Papers Notes Notes Sample Question Papers Sample Question Papers

IGNOU NEWS

Assignment Submission Last Date Extended Till 30 June 2026 Click Here★★★IGNOU June 2026 TEE Date Sheet Released Click Here★★★

Workout (in minutes)	Severity of diabetes status
	Low	Moderate	High
0 −15	06	27	19
15 to 30	08	36	17
30 to 45	21	45	33
≥ 45	14	18	06

S. No.	Serum Cholesterol (mg/dl)	Weight (kg)	Number of Patients having CHD	Total Number of Patients
1	420	60	10	20
2	450	68	15	30
3	400	54	4	15
4	510	74	2	10
5	480	62	1	5