Refer to the accompanying data set of mean drive-through service times at dinner in seconds at two fast food restaurants. Construct a 99% confidence interval estimate of the mean drive-through service time for Restaurant X at dinner; then do the same for Restaurant Y. Compare the results. Construct a 99% confidence interval of the mean drive-through service times at dinner for Restaurant X. _sec<μ< _sec Service Times (seconds) Restaurant X Restaurant Y 87 122 121 145 270 103 130 149 116 176 185 121 154 164 210 134 107 119 125 127 337 313 172 113 159 134 137 231 217 291 148 93 233 242 185 128 98 140 244 146 157 203 171 119 61 142 205 148 146 132 201 178 115 146 173 150 153 135 171 130 191 194 230 195 356 242 234 253 237 234 308 213 195 178 190 167 8787 107 54 176 108 144 177 153 175 76 147 142 99 124 153 161 119 135 311 145 133 186 146 131
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
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Restaurant X
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Restaurant Y
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|---|---|---|---|---|---|---|---|---|---|
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87
|
122
|
121
|
145
|
270
|
103
|
130
|
149
|
116
|
176
|
|
185
|
121
|
154
|
164
|
210
|
134
|
107
|
119
|
125
|
127
|
|
337
|
313
|
172
|
113
|
159
|
134
|
137
|
231
|
217
|
291
|
|
148
|
93
|
233
|
242
|
185
|
128
|
98
|
140
|
244
|
146
|
|
157
|
203
|
171
|
119
|
61
|
142
|
205
|
148
|
146
|
132
|
|
201
|
178
|
115
|
146
|
173
|
150
|
153
|
135
|
171
|
130
|
|
191
|
194
|
230
|
195
|
356
|
242
|
234
|
253
|
237
|
234
|
|
308
|
213
|
195
|
178
|
190
|
167
|
8787
|
107
|
54
|
176
|
|
108
|
144
|
177
|
153
|
175
|
76
|
147
|
142
|
99
|
124
|
|
153
|
161
|
119
|
135
|
311
|
145
|
133
|
186
|
146
|
131
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