Using Special Right Triangles in a Unit Circle answers

1.) 29.59

2.) Education

3.) a. House size will increase on average by 426.15 sq. feet

Step-by-step explanation:

From the computer output given, we can create a multiple regression equation in the form ;

y = b1x1 + b2x2 + b3x3 +.. + c

y = house size

x1 = family income ; x2 = Family size ; x3 = Education

Multiple Regression equation :

y = 0.4485x1 + 4.2615x2 - 0.6517x3 - 1.6335

To predict y ;

Where x1 = 60 ; x2 = 3 ; x3 = 13

y = 0.4485(60) + 4.2615(3) - 0.6517(13) - 1.6335

y = 29.5889

2.)

The Pvalue of the variables from the computer output are as follows :

Family income = 0.0003

Family size = 0.0001

Education = 0.1383

Comparing the Pvalue and α

When Pvalue > α ; then we fail to reject the null and conclude that no correlation exists between the dependent and independent variable.

Hence at α = 3% ; α = 0.03

Only the Pvalue of education is > α ; hence, we conclude that at 3% confidence level, Education can be removed without significantly hurting the model.

3.)

Increasing family size by 1 will lead to a corresponding change in house size by the slope Coefficient of family size, the slope Coefficient of family size is 4.2615