Equation
the Regression Equation $\hat{ Y }$ = 4 + 15x₁ + 2

question 19

Essay

Equation
The regression equation, $\hat{ Y }$ = 4 + 1.5x₁ + 2.5x₂ has been fitted to 25 data points.The means of x₁ and x₂ are 30 and 46,respectively.The sum of the squared differences between observed and predicted values of y has been calculated as SSE = 175,and the sum of the squared differences between y values and mean of y is SST = 525.
-What is the approximate 95% confidence interval for the mean of y whenever x₁ = 20 and x₂ = 25.

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Ex-Slave

A person who was formerly enslaved but has since gained freedom, either through legal emancipation, escape, or the end of slavery as an institution.

Abraham Lincoln

The 16th President of the United States, who led the country during the Civil War and issued the Emancipation Proclamation.

Working-Class

Refers to the social group consisting of people who are employed for wages, especially in manual or industrial work.

Andrew Johnson

The 17th President of the United States, serving from 1865 to 1869, who succeeded Abraham Lincoln and was the first President to be impeached.