A car traveling along a straight road is clocked at a number of points. The data from the observations are given in the following table, where the time is in seconds, the distance is in feet, and the speed is in feet per second. Time 0 3 5 8 13 Distance 0 225 383 623 993 Speed 75 77 80 74 72 Use a Divided difference scheme to predict the position of the car and its speed when t = 10s. Use the derivative of the polynomial to determine whether the car ever exceeds a 55 mi/h speed limit on the road. If so, what is the first time the car exceeds this speed? What is the predicted maximum speed for the car using appropriate coding scheme?
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.
NUMERICAL ANALYSIS
A car traveling along a straight road is clocked at a number of points. The data from the observations are given in the following table, where the time is in seconds, the distance is in feet, and the speed is in feet per second.
Time |
0 |
3 |
5 |
8 |
13 |
Distance |
0 |
225 |
383 |
623 |
993 |
Speed |
75 |
77 |
80 |
74 |
72 |
- Use a Divided difference scheme to predict the position of the car and its speed when t = 10s.
- Use the derivative of the polynomial to determine whether the car ever exceeds a 55 mi/h speed limit on the road. If so, what is the first time the car exceeds this speed?
- What is the predicted maximum speed for the car using appropriate coding scheme?
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