Subject Weight [Ib] Hg] 1 165 130 2 167 133 3 180 150 4 155 128 5 212 151 6 175 146 7 190 150 8 210 140 9 200 148 10 149 125 11 158 133 12 169 135 13 170 150 14 172 153 15 159 128 16 168 132 17 174 149 18 183 158 19 215 150 20 195 163 21 180 156 22 143 124 23 240 170 24 235 165 25 192 160 26 187 159
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.
The Weight and Blood Pressure of 26 Randomly Selected Male People in a Group ages 25 to 30 are shown in the following table. Suppose weight and blood pressure are normally and jointly distributed
a) Find the regression line that relates blood pressure to weight and estimate the
![Preassure
Subject
Weight [Ib]
Hg]
1
165
130
2
167
133
3
180
150
4
155
128
212
151
6
175
146
7
190
150
8
210
140
200
148
10
149
125
11
158
133
12
169
135
13
170
150
14
172
153
15
159
128
16
168
132
17
174
149
18
183
158
19
215
150
20
195
163
21
180
156
22
143
124
23
240
170
24
235
165
25
192
160
26
187
159](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9dfe9c8f-0d1d-4ed9-9c02-d0613e6327e7%2F43baeb6c-1b3d-40ec-83ed-4833ff08bc94%2Fw10tuv_processed.png&w=3840&q=75)
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