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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.

  1. Generate a scatterplot for the specified dependent variable (Y) and the selected independent variable (X), including the graph of the "best fit" line. Interpret.
  2. Determine the equation of the "best fit" line, which describes the relationship between the dependent variable and the selected independent variable.
  3. Determine the correlation coefficient. Interpret.
  4. Determine the coefficient of determination. Interpret.
  5. Test the utility of this regression model by completing a hypothesis test of b=0 using =0.10. Interpret results, including the p-value.
  6. Based on the findings in steps 1-5, analyze the ability of the independent variable to predict the dependent variable.
  7. Compute the confidence interval for b, using a 95% confidence level. Interpret this interval.
  8. Compute the 99% confidence interval for the dependent variable, for a selected value of the independent variable. Interpret this interval.
  9. Using the same chosen value for part (8), estimate the 99% prediction interval for the dependent variable. Interpret this interval.
  10. 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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