Gasoline Since clean-air regulations have dictated theuse of unleaded gasoline, the supply of leaded gas inNew York state has diminished. The table below wasgiven on the August 2001 New York State Math B exam,a statewide achievement test for high school students.a) Create a linear model and predict the number ofgallons that will be available in 2005.b) The exam then asked students to estimate the yearwhen leaded gasoline will first become unavailable,expecting them to use the model from part a to answerthe question. Explain why that method is incorrect.c) Create a model that would be appropriate for that task,and make the estimate.d) The “wrong” answer from the other model is fairlyaccurate in this case. Why? Year 1984 1988 1992 1996 2000Gallons (1000’s) 150 124 104 76 50
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.
Gasoline Since clean-air regulations have dictated the
use of unleaded gasoline, the supply of leaded gas in
New York state has diminished. The table below was
given on the August 2001 New York State Math B exam,
a statewide achievement test for high school students.a) Create a linear model and predict the number of
gallons that will be available in 2005.
b) The exam then asked students to estimate the year
when leaded gasoline will first become unavailable,
expecting them to use the model from part a to answer
the question. Explain why that method is incorrect.
c) Create a model that would be appropriate for that task,
and make the estimate.
d) The “wrong” answer from the other model is fairly
accurate in this case. Why?
Year 1984 1988 1992 1996 2000
Gallons (1000’s) 150 124 104 76 50
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