Listed below are systolic blood pressure measurements (in mm Hg) obtained from the same woman. be the predictor (x) variable. Find the best predicted systolic blood pressure in the left arm given that significance level of 0.05. Right Arm 102 101 95 78 79 O Left Arm 174 168 150 149 147 Click the icon to view the critical values of the Pearson correlation coefficient r The regression equation is y =+x. s%3D (Round to one decimal place as needed.) Given that the systolic blood pressure in the right arm is 80 mm Hg, the best predicted systolic blood p (Round to one decimal place as needed.)
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.
![**Systolic Blood Pressure Regression Analysis**
Listed below are systolic blood pressure measurements (in mm Hg) obtained from the same woman. The task is to find the regression equation, using the right arm blood pressure as the predictor (x) variable. We aim to determine the best predicted systolic blood pressure in the left arm given that the systolic blood pressure in the right arm is 80 mm Hg. A significance level of 0.05 is used.
**Blood Pressure Measurements:**
| Right Arm | Left Arm |
|-----------|----------|
| 102 | 174 |
| 101 | 168 |
| 95 | 150 |
| 78 | 149 |
| 79 | 147 |
**Instructions:**
- Click the icon to view the critical values of the Pearson correlation coefficient \( r \).
**Regression Equation:**
The regression equation is \( \hat{y} = \Box + \Box x \).
*(Round to one decimal place as needed.)*
**Prediction:**
Given that the systolic blood pressure in the right arm is 80 mm Hg, the best predicted systolic blood pressure in the left arm is \(\Box\) mm Hg.
*(Round to one decimal place as needed.)*
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Utilize the provided data and instructions to complete the regression analysis and prediction tasks.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8b154e39-9ebd-4de1-8fea-c901817b1837%2F1321d5a3-f68f-4c78-9fa7-da449898ea2e%2F17rolpi_processed.jpeg&w=3840&q=75)
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