Answered: (a) Test the hypothesis that p-0, using…

Math

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(a) Test the hypothesis that p-0, using a=0.05 (b) Construct a 95% confidence interval for the correlation coefficient.

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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Concept explainers

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.

Question

**Title: Analysis of Weight and Systolic Blood Pressure in Males Aged 25-30**

**Overview:**

The data represents the weight and systolic blood pressure of 26 randomly selected males in the age group 25 to 30. It is assumed that weight and blood pressure are jointly normally distributed. The goals of this analysis are to:

(a) Test the hypothesis that the correlation coefficient (ρ) is 0, using a significance level (α) of 0.05.
(b) Construct a 95% confidence interval for the correlation coefficient.

**Data Table:**

| Subject | Weight | Systolic BP | Subject | Weight | Systolic BP |
|---------|--------|-------------|---------|--------|-------------|
| 1 | 165 | 130 | 14 | 172 | 153 |
| 2 | 167 | 133 | 15 | 159 | 128 |
| 3 | 180 | 150 | 16 | 168 | 132 |
| 4 | 155 | 128 | 17 | 174 | 149 |
| 5 | 212 | 151 | 18 | 183 | 158 |
| 6 | 175 | 146 | 19 | 215 | 150 |
| 7 | 190 | 150 | 20 | 195 | 163 |
| 8 | 210 | 140 | 21 | 178 | 162 |
| 9 | 200 | 148 | 22 | 197 | 153 |
| 10 | 149 | 125 | 23 | 240 | 170 |
| 11 | 158 | 133 | 24 | 235 | 165 |
| 12 | 175 | 144 | 25 | 199 | 153 |
| 13 | 170 | 150 | 26 | 187 | 159 |

**Analysis Goals:**

- **Hypothesis Testing:** To determine if there is a statistically significant relationship between weight

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