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 Y= 69.1044 + 0.4194x A)Test the hypothesis that rho = 0 and test the hypothesis that rho = 0.6 B)Obtain a 95% confidence interval estimate of the correlation coefficient.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.4: Fractional Expressions
Problem 65E
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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

Y= 69.1044 + 0.4194x

A)Test the hypothesis that rho = 0 and test the hypothesis that rho = 0.6

B)Obtain a 95% confidence interval estimate of the correlation coefficient.

 

26
Σχ
ΣΥ
4743
3786
182.4231
y
145.6154
Σχ
Ey?
Σχν
880545
555802
697076
(Ex)2
Sxx = 2
Σ
15312.35
(Ey)2
Syy = 2:
4502.154
Ey) x (Ex)
ху
Sxy
6422.231
Sxy
Sxx
0.419415
69.10437
Coefficient of correlation
Sxy
Txy
VSxxSyY
0.77349
Transcribed Image Text:26 Σχ ΣΥ 4743 3786 182.4231 y 145.6154 Σχ Ey? Σχν 880545 555802 697076 (Ex)2 Sxx = 2 Σ 15312.35 (Ey)2 Syy = 2: 4502.154 Ey) x (Ex) ху Sxy 6422.231 Sxy Sxx 0.419415 69.10437 Coefficient of correlation Sxy Txy VSxxSyY 0.77349
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
Transcribed Image Text: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
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