The weight and systolic blood pressure of 26 randomly selected males in the age group 25 to 30 are shown in the following table. Assume that weight and blood pressure are jointly normally distributed. Provide justifications and citations for your responses.
|
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
|
180
|
156
|
|
9
|
200
|
148
|
22
|
143
|
124
|
|
10
|
149
|
125
|
23
|
240
|
170
|
|
11
|
158
|
133
|
24
|
235
|
165
|
|
12
|
169
|
135
|
25
|
192
|
160
|
|
13
|
170
|
150
|
26
|
187
|
159
|
Required:
(a) Find a regression line relating systolic blood pressure to weight.
(b) Test for significance of regression using α = 0.05
(c) Estimate the correlation coefficient.