a. Using the pairs of values for all 10 points, find the equation of the regression line. b. After removing the point with coordinates left parenthesis 1 comma 2 right parenthesis(1,2), use the pairs of values for the remaining 99 points and find the equation of the regression line. c. Compare the results from parts (a) and (b). 02468100246810xy A scatterplot has a horizontal x-scale from 0 to 10 in increments of 1 and vertical y-scale from 0 to 10 in increments of 1. Ten points are plotted with nine points, (3, 5), (4, 5), (5, 5), (3, 6), (4, 6), (4, 6), (5, 6), (3, 7), (4, 7), and (5, 7), forming a square and the tenth point (1, 2) being below and to the left of the square. a. What is the equation of the regression line for all 10 points? ModifyingAbove y with caretyequals=nothingplus+nothingx (Round to three decimal places as needed.) b. What is the equation of the regression line for the set of 99 points? ModifyingAbove y with caretyequals=nothing (Round to three decimal places as needed.) c. Choose the correct description of the results below. A. The removal of the point has a significant impact on the regression line. B. There is no regression line for the second case because the data are in a pattern. C. The regression line changes, but the change is small. D. The regression line is very similar in both cases.
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. Using the pairs of values for all
10
points, find the equation of the regression line.b. After removing the point with coordinates
left parenthesis 1 comma 2 right parenthesis(1,2),
use the pairs of values for the remaining
99
points and find the equation of the regression line.c. Compare the results from parts (a) and (b).
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