Overview Why do we use multiple regression? This statistical technique is used to determine the relative influence of one or more explanatory (independent) variables to the response (dependent) variable. It also allows you to identify if there are outliers in the data. Let’s say you are a medical researcher and you wish to see whether there is a relationship between a person’s age, cholesterol level, and systolic blood pressure. You have several explanatory variables; thus, using a multiple regression would be a good choice to find the relationship to the response variable. For this discussion, you will find the multiple regression line for the data, calculate the coefficient of determination, and find a predicted y value for a given situation. You will document your findings in your initial post. Finally, you will respond to your classmates. Instructions First, read the scenario. Then, you will answer the prompts below. You may calculate the multiple regression line and coefficient of determination by hand. Or, you may use one of the online calculators provided. Social Science Statistics Multiple Regression Calculator (Links to an external site.) Stats Blue Multiple Regression Calculator (Links to an external site.) Scenario: A medical researcher wishes to see whether there is a relationship between a person’s age, cholesterol level, and systolic blood pressure. Eight people are randomly selected. The data is listed in the table. First, find the multiple regression equation. Next, determine the coefficient of determination. Then, use the regression equation to predict a person’s blood pressure reading if the person selected is 50 years old with a cholesterol reading of 220. Age Cholesterol level Blood pressure Person 1 38 220 116 Person 2 41 225 120 Person 3 45 200 123 Person 4 48 190 131 Person 5 51 250 142 Person 6 53 215 145 Person 7 57 200 148 Person 8 61 170 150 Discussion Prompts Thoroughly respond to the following prompts in your initial post: Identify the explanatory variables and response variable for the data. What is the multiple regression equation for the data? What is the coefficient of determination? If a person 50 years old with a cholesterol of 220 is selected, what is that person’s predicted blood pressure reading?

Overview Why do we use multiple regression? This statistical technique is used to determine the relative influence of one or more explanatory (independent) variables to the response (dependent) variable. It also allows you to identify if there are outliers in the data. Let’s say you are a medical researcher and you wish to see whether there is a relationship between a person’s age, cholesterol level, and systolic blood pressure. You have several explanatory variables; thus, using a multiple regression would be a good choice to find the relationship to the response variable. For this discussion, you will find the multiple regression line for the data, calculate the coefficient of determination, and find a predicted y value for a given situation. You will document your findings in your initial post. Finally, you will respond to your classmates. Instructions First, read the scenario. Then, you will answer the prompts below. You may calculate the multiple regression line and coefficient of determination by hand. Or, you may use one of the online calculators provided. Social Science Statistics Multiple Regression Calculator (Links to an external site.) Stats Blue Multiple Regression Calculator (Links to an external site.) Scenario: A medical researcher wishes to see whether there is a relationship between a person’s age, cholesterol level, and systolic blood pressure. Eight people are randomly selected. The data is listed in the table. First, find the multiple regression equation. Next, determine the coefficient of determination. Then, use the regression equation to predict a person’s blood pressure reading if the person selected is 50 years old with a cholesterol reading of 220. Age Cholesterol level Blood pressure Person 1 38 220 116 Person 2 41 225 120 Person 3 45 200 123 Person 4 48 190 131 Person 5 51 250 142 Person 6 53 215 145 Person 7 57 200 148 Person 8 61 170 150 Discussion Prompts Thoroughly respond to the following prompts in your initial post: Identify the explanatory variables and response variable for the data. What is the multiple regression equation for the data? What is the coefficient of determination? If a person 50 years old with a cholesterol of 220 is selected, what is that person’s predicted blood pressure reading?

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section1.FOM: Focus On Modeling: Fitting Lines To Data

Problem 8P

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Overview

Why do we use multiple regression? This statistical technique is used to determine the relative influence of one or more explanatory (independent) variables to the response (dependent) variable. It also allows you to identify if there are outliers in the data. Let’s say you are a medical researcher and you wish to see whether there is a relationship between a person’s age, cholesterol level, and systolic blood pressure. You have several explanatory variables; thus, using a multiple regression would be a good choice to find the relationship to the response variable.

For this discussion, you will find the multiple regression line for the data, calculate the coefficient of determination, and find a predicted y value for a given situation. You will document your findings in your initial post. Finally, you will respond to your classmates.

Instructions

First, read the scenario. Then, you will answer the prompts below. You may calculate the multiple regression line and coefficient of determination by hand. Or, you may use one of the online calculators provided.

Social Science Statistics Multiple Regression Calculator (Links to an external site.)
Stats Blue Multiple Regression Calculator (Links to an external site.)

Scenario: A medical researcher wishes to see whether there is a relationship between a person’s age, cholesterol level, and systolic blood pressure. Eight people are randomly selected. The data is listed in the table. First, find the multiple regression equation. Next, determine the coefficient of determination. Then, use the regression equation to predict a person’s blood pressure reading if the person selected is 50 years old with a cholesterol reading of 220.

	Age	Cholesterol level	Blood pressure
Person 1	38	220	116
Person 2	41	225	120
Person 3	45	200	123
Person 4	48	190	131
Person 5	51	250	142
Person 6	53	215	145
Person 7	57	200	148
Person 8	61	170	150

Discussion Prompts

Thoroughly respond to the following prompts in your initial post:

Identify the explanatory variables and response variable for the data.
What is the multiple regression equation for the data?
What is the coefficient of determination?
If a person 50 years old with a cholesterol of 220 is selected, what is that person’s predicted blood pressure reading?

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