We expect a car’s highway gas mileage to be related to its city gas mileage (in mpg). Data for all 12091209 vehicles in the government’s 2016 Fuel Economy Guide gives the regression line highway mpg=7.903+(0.993×city mpg)highway mpg=7.903+(0.993×city mpg) for predicting highway mileage from city mileage. (a) What is the slope of this line? (Give your answer to 33 decimal places.) slope = Say in words what the numerical value of the slope tells you. Select the best option from these choices: On average, highway mileage decreases by 0.993 mpg0.993 mpg for each additional mpg in city mileage. On average, highway mileage increases by 7.903 mpg7.903 mpg for each additional mpg in city mileage. On average, highway mileage increases by 0.993 mpg0.993 mpg for each additional mpg in city mileage. Highway gas mileage increases with city gas mileage by 7.903 mpg7.903 mpg for each additional mpg in city mileage. For every 7.903 mpg7.903 mpg in city gas mileage, highway gas mileage increases about 0.993 mpg.0.993 mpg. (b) What is the intercept? (Give your answer to 33 decimal places.) intercept = mpg Select the correct explanation for why the value of the intercept is not statistically meaningful. Because this is the highway mileage for slope 0.0. Because this is the highway mileage for zero city mpg. Because this is an average value, calculated from a sample. (c) Find the predicted highway mileage for a car that gets 1616 miles per gallon in the city. (Give your answer to 33 decimal places.) predicted highway mileage = mpg Find the predicted highway mileage for a car that gets 2828 miles per gallon in the city. (Give your answer to 3 decimal places.) predicted highway mileage =
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.
We expect a car’s highway gas mileage to be related to its city gas mileage (in mpg). Data for all 12091209 vehicles in the government’s 2016 Fuel Economy Guide gives the regression line
for predicting highway mileage from city mileage.
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