Question
Question 2 - Use the dependent variable (labeled Y) and one of the independent variables (labeled X1, X2, and X3) in the data file. Select
Question 2 -
Use the dependent variable (labeled Y) andoneof the independent variables (labeled X1, X2, and X3) in the data file. Select and use one independent variable throughout this analysis. Use Excel to perform the regression and correlation analysis to answer the following.
- Generate a scatterplot for the specified dependent variable (Y) and the selected independent variable (X), including the graph of the "best fit" line. Interpret.
- Determine the equation of the "best fit" line, which describes the relationship between the dependent variable and the selected independent variable.
- Determine the correlation coefficient. Interpret.
- Determine the coefficient of determination. Interpret.
- Test the utility of this regression model by completing a hypothesis test of b=0 using =0.10. Interpret results, including the p-value.
- Based on the findings in steps 1-5, analyze the ability of the independent variable to predict the dependent variable.
- Compute the confidence interval for b, using a 95% confidence level. Interpret this interval.
- Compute the 99% confidence interval for the dependent variable, for a selected value of the independent variable. Interpret this interval.
- Using the same chosen value for part (8), estimate the 99% prediction interval for the dependent variable. Interpret this interval.
- What can be said about the value of the dependent variable for values of the independent variable that are outside the range of the sample values?
Calls (X1) Time (X2) Years (X3) Type
131 16.9 2 GROUP
134 19.4 3 GROUP
139 19.3 3 GROUP
145 14.7 2 GROUP
149 15.6 1 GROUP
149 15.8 1 GROUP
150 14.9 2 GROUP
150 15.3 3 GROUP
151 16.6 2 GROUP
152 15.0 3 GROUP
152 14.5 4 GROUP
153 19.0 3 GROUP
154 14.3 2 GROUP
154 15.3 1 GROUP
155 17.9 1 GROUP
156 13.2 3 GROUP
157 15.9 3 GROUP
159 14.6 2 GROUP
161 13.2 1 GROUP
162 14.5 4 GROUP
164 17.8 3 GROUP
166 18.9 1 GROUP
168 12.4 2 GROUP
169 14.0 5 GROUP
170 14.3 4 GROUP
172 14.7 3 GROUP
175 13.6 5 GROUP
178 18.3 2 GROUP
192 16.7 1 GROUP
130 12.8 2 NONE
131 11.7 3 NONE
131 21.6 1 NONE
131 18.5 0 NONE
131 14.6 1 NONE
132 10.0 3 NONE
135 18.5 3 NONE
139 16.9 4 NONE
140 12.4 0 NONE
140 17.5 3 NONE
142 13.9 2 NONE
143 15.4 1 NONE
144 15.8 2 NONE
145 19.0 2 NONE
148 16.0 0 NONE
155 17.9 1 NONE
159 18.1 0 NONE
160 14.3 4 NONE
138 15.3 2 ONLINE
140 15.7 1 ONLINE
144 17.7 1 ONLINE
149 17.3 0 ONLINE
149 13.5 1 ONLINE
152 14.6 1 ONLINE
153 15.3 2 ONLINE
155 16.0 2 ONLINE
156 20.0 0 ONLINE
157 15.4 1 ONLINE
158 14.2 3 ONLINE
159 18.8 2 ONLINE
160 10.9 4 ONLINE
160 14.8 2 ONLINE
161 17.3 3 ONLINE
163 16.6 2 ONLINE
165 15.7 3 ONLINE
165 12.4 3 ONLINE
167 14.8 3 ONLINE
168 16.4 0 ONLINE
168 11.0 5 ONLINE
170 12.3 0 ONLINE
170 14.2 1 ONLINE
170 17.4 5 ONLINE
171 14.9 5 ONLINE
171 13.0 5 ONLINE
173 17.5 1 ONLINE
174 12.7 2 ONLINE
174 13.6 2 ONLINE
176 12.6 1 ONLINE
177 17.0 0 ONLINE
178 13.4 2 ONLINE
178 15.1 3 ONLINE
178 16.4 2 ONLINE
178 16.5 1 ONLINE
180 14.0 2 ONLINE
181 11.5 4 ONLINE
182 13.0 2 ONLINE
183 15.4 4 ONLINE
184 12.7 5 ONLINE
184 11.4 4 ONLINE
185 18.9 2 ONLINE
186 13.5 3 ONLINE
186 14.2 1 ONLINE
188 13.6 0 ONLINE
188 11.3 2 ONLINE
189 14.3 1 ONLINE
189 15.0 3 ONLINE
191 19.0 5 ONLINE
193 13.7 5 ONLINE
194 13.6 2 ONLINE
198 13.2 2 ONLINE
201 12.5 1 ONLINE
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