For the data in the table, find the regression equation and then use it to answer the questions below. Here, x gives a student's annual family income (in $1000's), and y is the student's SAT score. Round the slope and y-intercept to two decimals, then do not round your answer. Income SAT ($1000's) Score 62 940 66 950 75 960 77 980 78 990 79 1010 82 1020 86 1080 90 1090 100 1100 a. What is the predicted score for a student whose annual family income is $115,000? b. Is your answer to part (a) an extrapolation?
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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