The Dept of Transportation wishes to be able to weigh trucks without actually stopping them. They developed a tool that might be able to determine their weight while in motion. To calibrate this tool, they took a sample of trucks and measured their "static weight" (the weight on a traditional scale while the truck wasn't moving) and also their "weight in motion", using the new tool. All weights were in thousands of pounds. After feeding their data into a computer, they got the following output. predictor coeff st.dev T P constant 10.854 1.982 5.48 0.001 weight in motion 0.63791 0.06103 10.45 S=1.041 R-Sq=93.2% R-Sq(adj)=92.3%
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.
A) Find the
B) What percent of the variability in static weight can be explained by the linear model? Round to the nearest 10th.
C) Using the predictive model suggested, what would the static weight of a truck be if its weight in motion was 28,000 pounds?
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