A medical researcher wants to determine how a new medication affects blood pressure. 150 ● 140 ● 130 120 110 150 200 250 300 350 Amount of medication (in mg) Ex: 0.43 X Patient systolic blood pressure (in mm Hg) 100 " ● $ 0 50 The regression equation for the plot above is Y=0 100
A medical researcher wants to determine how a new medication affects blood pressure. 150 ● 140 ● 130 120 110 150 200 250 300 350 Amount of medication (in mg) Ex: 0.43 X Patient systolic blood pressure (in mm Hg) 100 " ● $ 0 50 The regression equation for the plot above is Y=0 100
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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### Scatter Plot Analysis
**Graph Title:** Patient Systolic Blood Pressure vs. Amount of Medication
**X-Axis:** Amount of medication (in mg) [Range: 0 - 350 mg]
**Y-Axis:** Patient systolic blood pressure (in mm Hg) [Range: 100 - 150 mm Hg]
The scatter plot shows a series of blue data points representing various blood pressure measurements corresponding to different amounts of medication administered to patients.
A negative trend line has been drawn across the graph from the upper left to the lower right, indicating an inverse relationship between the amount of medication and the patient's systolic blood pressure. This implies that as the dosage of medication increases, the systolic blood pressure tends to decrease.
### Regression Equation
The equation for the regression line plotted on the scatter graph is:
\[ Y = 0 - (EX + 0.43X) \]
This equation can be used to predict the patient's systolic blood pressure (Y) based on the amount of medication (X) administered. The negative coefficient indicates that for every unit increase in medication dosage, there is an associated decrease in systolic blood pressure.
### Interpretation
This analysis suggests that the new medication is effective in reducing systolic blood pressure in patients. However, further detailed studies would be required to establish efficacy, potential side effects, and optimal dosage.
### Study Context
Researchers would typically apply such a scatter plot and regression analysis to determine the practical implications of new medications, informing further clinical trials or medical prescriptions.
Note: Proper clinical trials and ethical approvals should always be in place when working with medications and human subjects.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F21d3e729-6d69-4794-9993-90b4e169b82b%2F2ae6e1b2-9bf8-479f-801b-2170778d9c78%2F3rzuaup_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A medical researcher wants to determine how a new medication affects blood pressure.
### Scatter Plot Analysis
**Graph Title:** Patient Systolic Blood Pressure vs. Amount of Medication
**X-Axis:** Amount of medication (in mg) [Range: 0 - 350 mg]
**Y-Axis:** Patient systolic blood pressure (in mm Hg) [Range: 100 - 150 mm Hg]
The scatter plot shows a series of blue data points representing various blood pressure measurements corresponding to different amounts of medication administered to patients.
A negative trend line has been drawn across the graph from the upper left to the lower right, indicating an inverse relationship between the amount of medication and the patient's systolic blood pressure. This implies that as the dosage of medication increases, the systolic blood pressure tends to decrease.
### Regression Equation
The equation for the regression line plotted on the scatter graph is:
\[ Y = 0 - (EX + 0.43X) \]
This equation can be used to predict the patient's systolic blood pressure (Y) based on the amount of medication (X) administered. The negative coefficient indicates that for every unit increase in medication dosage, there is an associated decrease in systolic blood pressure.
### Interpretation
This analysis suggests that the new medication is effective in reducing systolic blood pressure in patients. However, further detailed studies would be required to establish efficacy, potential side effects, and optimal dosage.
### Study Context
Researchers would typically apply such a scatter plot and regression analysis to determine the practical implications of new medications, informing further clinical trials or medical prescriptions.
Note: Proper clinical trials and ethical approvals should always be in place when working with medications and human subjects.
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