1. The following tables show the distance traveled by three different cars over five seconds. Car 1 Car 2 Car 3 Time Distance Time Distance Time Distance (s) 1 (ft.) 3 (s) 1 (ft.) (s) 1 (ft.) 4 2 7 2 5 3 10 3 10 3 9 4 13 4 17 4 17 16 5 26 33 Consider the relationship between time and distance traveled for each car. Which of the tables of data can be modeled by a linear function? Which ones cannot be modeled by a linear function? Justify your answer. а. b. For any of the data sets that can be modeled by a linear function, write a function that models the distance traveled D as a function of time t. c. What is the dependent variable in this situation? The independent variable? d. Which car is traveling fastest? Justify your answer.
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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(Question 1)The given tables for the three cars are-
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