The level of support over time on a major political issue is given below. The x-values represent year relative to 2000 (so -4 stands 2021). Year (x) -4 -1 4 5 7 9 11 13 15 18 19 20 21 for the year 1996, and 21 stands for the year % Support (y) 27 35 42 37 46 40 53 53 60 67 63 67 70 (a) Find the equation of the regression line that fits the data above. [Check that the order you enter the arrays is correct.] (b) Use your regression line to predict the level of support in the year 2025 (x = 25) and the year 2050 (x = 50), rounding your answers
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 level of support over time on a major political issue is given below. The x-values
represent year relative to 2000 (so -4 stands 2021).
Year (x)
-4 -1 4 5 7 9 11 13 15 18 19 20 21
for the year 1996, and 21 stands for the year
% Support (y)
27 35 42 37 46 40 53 53 60 67 63 67 70(a) Find the equation of the regression line that fits the data above. [Check that the order you enter the arrays is correct.]
(b) Use your regression line to predict the level of support in the year 2025 (x = 25) and the year 2050 (x = 50), rounding your answers to the nearest percent. Are these outcomes realistic? Explain your reasoning.
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