Refer to the accompanying data set of mean​ drive-through service times at dinner in seconds at two fast food restaurants. Construct a 90​% 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 90​% confidence interval of the mean​ drive-through service times at dinner for Restaurant X. Service Times (seconds) Restaurant X Restaurant Y   83 120 120 147 263 100 125 154 117 172 184 125 153 164 212 137 112 125 130 127 338 310 180 115 158 138 138 230 216 295 143 101 232 237 184 122 99 133 240 142 150 200 173 121 65 140 201 153 143 138 197 175 120 139 176 143 155 138 167 138 184 202 230 190 357 237 239 249 231 238 306 210 193 182 185 170 86 102 54 169 105 145 180 157 175 76 142 147 100 130 160 164 120 133 307 151 129 181 146 124     ____ sec<μ<_____ sec

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Q: Refer to the accompanying data set of mean​ drive-through service times at dinner in seconds at two…

A:

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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.