The total stopping distance (in feet) was measured for a midsize four-door sedan driving in dry conditions at various speeds. The resulting data are presented in the table below. Speed (in mph) 10 20 30 40 50 60 70 80 Total Stopping Distance 27 61 104 168 235 297 386 473 (a) Determine the linear regression model that will best predict the total stopping distance for a midsize four-door sedan driving dry conditions based on the speed of the vehicle. (b) How well does the linear regression model fit this sampe data? (c) Predict the total stopping distance for a midsize four-door sedan driving at a speed of 65 mph in dry conditions.
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.
The total stopping distance (in feet) was measured for a midsize four-door sedan driving in dry conditions at various speeds. The resulting data are presented in the table below.
| Speed (in mph) | 10 | 20 | 30 | 40 | 50 | 60 | 70 | 80 |
| Total Stopping Distance | 27 | 61 | 104 | 168 | 235 | 297 | 386 | 473 |
(a) Determine the linear regression model that will best predict the total stopping distance for a midsize four-door sedan driving dry conditions based on the speed of the vehicle.
(b) How well does the linear regression model fit this sampe data?
(c) Predict the total stopping distance for a midsize four-door sedan driving at a speed of 65 mph in dry conditions.
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