eing overweight or obese may increases your risk of developing high blood pressure. The weight and systolic blood pressure of 13 randomly selected males in the age group 25 to 30 are shown in the table below. Subject Weight (lb) Systolic BP (mmHg) 1 164 130 2 167 133 3 180 146 4 155 128 5 210 151 6 175 146 7 190 150 8 202 140 9 200 148 10 149 125 11 158 133 12 169 135 13 170 143 Calculate the least-squares line. Put the equation in the form of: ŷ = a + bx What is the slope of the least-squares (best-fit) line? Interpret the slope with the context. Find the coefficient of determination? Interpret it with the context. Predict the Systolic BP (mmHg) for a male with 160 lb. Can we conclude that weight gain causes a rise in Systolic BP? Explain your answer.
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
eing overweight or obese may increases your risk of developing high blood pressure. The weight and systolic blood pressure of 13 randomly selected males in the age group 25 to 30 are shown in the table below.
|
Subject |
Weight (lb) |
Systolic BP (mmHg) |
|
1 |
164 |
130 |
|
2 |
167 |
133 |
|
3 |
180 |
146 |
|
4 |
155 |
128 |
|
5 |
210 |
151 |
|
6 |
175 |
146 |
|
7 |
190 |
150 |
|
8 |
202 |
140 |
|
9 |
200 |
148 |
|
10 |
149 |
125 |
|
11 |
158 |
133 |
|
12 |
169 |
135 |
|
13 |
170 |
143 |
- Calculate the least-squares line. Put the equation in the form of: ŷ = a + bx
- What is the slope of the least-squares (best-fit) line? Interpret the slope with the context.
- Find the coefficient of determination? Interpret it with the context.
- Predict the Systolic BP (mmHg) for a male with 160 lb.
- Can we conclude that weight gain causes a rise in Systolic BP? Explain your answer.
Step by step
Solved in 3 steps with 3 images
