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Is the slope of the Least Squares Regression Line very sensitive to outliers in the x direction with large residuals?

Yes, it is.


What negative correlation indicate?

the negative sign on correlation just means that the slope of the Least Squares Regression Line is negative.


What does the slope of the least square lines indicate?

The slope of the least squares line, or regression line, indicates the relationship between the independent variable (predictor) and the dependent variable (response). A positive slope suggests that as the independent variable increases, the dependent variable also tends to increase, while a negative slope indicates that an increase in the independent variable is associated with a decrease in the dependent variable. The magnitude of the slope reflects the strength of this relationship; a steeper slope indicates a stronger correlation.


What can you say about a slope a regression line for variables that are negatively associated?

The slope will be negative.The slope will be negative.The slope will be negative.The slope will be negative.


How can one determine the uncertainty of the slope when finding the regression line for a set of data points?

To determine the uncertainty of the slope when finding the regression line for a set of data points, you can calculate the standard error of the slope. This involves using statistical methods to estimate how much the slope of the regression line may vary if the data were collected again. The standard error of the slope provides a measure of the uncertainty or variability in the slope estimate.


How do you interpret the slope and y intercept in a real world case?

How do you interpret the slope and y intercept in a real world case?


What is the slope b of the least squares regression line y equals a plus bx for these data?

The graph and accompanying table shown here display 12 observations of a pair of variables (x, y).The variables x and y are positively correlated, with a correlation coefficient of r = 0.97.What is the slope, b, of the least squares regression line, y = a + bx, for these data? Round your answer to the nearest hundredth.2.04 - 2.05


If two variables have a negative linear correlation is the slope of the least-squares line positive or negative?

If two variables have a negative linear correlation, the slope of the least-squares regression line is negative. This indicates that as one variable increases, the other variable tends to decrease. Thus, the negative slope reflects the inverse relationship between the two variables.


The value 11.7 represents the of the graph of the following linear regression equation?

slope


What is the line of regression?

line that measures the slope between dependent and independent variables


What is a regression line that is superimposed on a scatter plot?

It guarantees that the slope and intercept are minimized.


What is regression coefficient and correlation coefficient?

The strength of the linear relationship between the two variables in the regression equation is the correlation coefficient, r, and is always a value between -1 and 1, inclusive. The regression coefficient is the slope of the line of the regression equation.