applications. He produces a scatterplot with SAT scores on the linear correlation coefficient of 0.506701. Additional sample statistics are summarized in the table below. Variable Sample Sample standard Variable description mean deviation high school SAT score x = 1504.291401 Sx = 105.782904 y freshman year GPA y = 3.240805 Sy = 0.441205 r= 0.506701 slope = 0.002113 Determine the y-intercept, a, of the least-squares regression line for this data. Give your answer precise to at least four decimal places.
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.
![estion 3 of 38
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university and gathers their freshman year GPA data and the high school SAI score reported on each of their college
applications. He produces a scatterplot with SAT scores on the horizontal axis and GPA on the vertical axis. The data has a
linear correlation coefficient of 0.506701. Additional sample statistics are summarized in the table below.
Variable
Sample
Sample standard
Variable
description
mean
deviation
high school SAT score
x 1504.291401
Sx = 105.782904
%3D
y
freshman year GPA
y = 3.240805
Sy = 0.441205
r = 0.506701
slope 0.002113
Determine the y-intercept, a, of the least-squares regression line for this data. Give your answer precise to at least four
decimal places.
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