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the following regression output is for predicting annual murders per million from percentage living in poverty in a random sample of 20 metropolitan areas. what is the estimated linear regression line?

Sagot :

The linear model for the question will be , Murder = −29.901 +2.559 ×  poverty .

In metropolitan regions without poverty, a murder rate of -29.901 per million is anticipated. This setting, which only modifies the regression line's height, is obviously meaningless.

We anticipate that the average number of homicides per million will rise by 2.559 for every extra percentage point of poverty.

The variation in murder rates in urban regions is explained by poverty level in 70.52% of the cases.

Correlation coefficient

=√0.7052=0.8398

Regression is a statistical technique used in the fields of finance, investing, and other disciplines that aims to establish the nature and strength of the relationship between a single dependent variable (often represented by Y) and a number of independent variables (known as independent variables).

The most popular variation of this method is linear regression, which is also known as simple regression or ordinary least squares (OLS). Based on a line of best fit, linear regression determines the linear relationship between two variables.

To learn more about regression model

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