Given the following data of 26 observations: X Y X Y 165 130 172 153 167 133 159 128 180 150 168 132 155 128 174 149 212 151 183 158 175 146 215 150 190 150 195 163 210 140 180 156 200 148 143 124 149 125 240 170 158 133 235 165 169 135 192 160 170 150 187 159 Assume that X and Y are jointly normally distributed. A. Fit a regression line relating both variables. Create a scatter plot and add the regression line. Label the plots properly. Include the equation of the trendline and the value of R² (no need to show the solution for R²). B. Compute the sample correlation coefficient between the two variables. Show your solution. C. Construct a 95% confidence interval on p. D. Test the hypothesis that 0... #0 at the 0.05 level of significance.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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Given the following data of 26 observations:
X
Y
X
Y
165
130
172
153
167
133
159
128
180
150
168
132
155
128
174
149
212
151
183
158
175
146
215
150
190
150
195
163
210
140
180
156
200
148
143
124
149
125
240
170
158
133
235
165
169
135
192
160
170
150
187
159
Assume that X and Y are jointly normally distributed.
A. Fit a regression line relating both variables. Create a scatter plot and add the regression line. Label the
plots properly. Include the equation of the trendline and the value of R² (no need to show the solution for
R²).
B. Compute the sample correlation coefficient between the two variables. Show your solution.
C. Construct a 95% confidence interval on p.
D. Test the hypothesis that Pxy + 0 at the 0.05 level of significance.
Transcribed Image Text:Given the following data of 26 observations: X Y X Y 165 130 172 153 167 133 159 128 180 150 168 132 155 128 174 149 212 151 183 158 175 146 215 150 190 150 195 163 210 140 180 156 200 148 143 124 149 125 240 170 158 133 235 165 169 135 192 160 170 150 187 159 Assume that X and Y are jointly normally distributed. A. Fit a regression line relating both variables. Create a scatter plot and add the regression line. Label the plots properly. Include the equation of the trendline and the value of R² (no need to show the solution for R²). B. Compute the sample correlation coefficient between the two variables. Show your solution. C. Construct a 95% confidence interval on p. D. Test the hypothesis that Pxy + 0 at the 0.05 level of significance.
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