The Department of Energy provides fuel economy ratings for all cars and light trucks sold in the United States. Offered are the estimated miles per gallon for city driving for the 186186 cars classified as midsize in 2016, arranged in increasing order: 11 11 11 12 13 13 13 14 14 14 14 14 15 15 15 15 15 15 16 16 16 16 16 16 16 16 16 16 16 16 16 17 17 17 17 17 17 18 18 18 18 18 18 18 18 18 19 19 19 19 19 19 19 19 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 21 21 21 21 21 21 21 21 21 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 22 23 23 23 23 23 23 23 24 24 24 24 24 24 24 24 24 25 25 25 25 25 25 25 25 25 25 25 25 25 25 25 26 26 26 26 26 26 26 26 26 26 26 27 27 27 27 27 27 27 27 27 27 27 27 27 28 28 28 28 28 28 28 28 28 28 29 29 29 29 29 29 30 30 30 30 31 31 35 36 39 40 40 40 40 41 43 44 54 58   Give the five‑number summary of this distribution. (Round your entries to two decimal places.) Min=     ?1=     Median=     ?3=     Max=     (b) Select the correct boxplot representing these data.         What is the shape of the distribution shown by the boxplot? Which features of the boxplot led you to this conclusion? Are any observations unusually small or large? The boxplot doesn't show any conclusive interpretation of the data. The boxplot provided shows right‑skew in the distribution of mpg values. There are high outliers from hybrid cars. The boxplot provided shows left‑skew in the distribution of mpg values. There are low outliers from older cars with low mpg. The boxplot provided shows a symmetric distribution of mpg values.

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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.