## [answered] 1) A real estate agent wants to make a regression equation

Hi Tutors,

Attached is a question regarding regressions and F Tests. ?Could I get help in calculating answers for this (if you could show me how calculations are done to get answers it will help me with future questions)? ?Thank you!

1) A real estate agent wants to make a regression equation to help her predict the price of houses in a

specific neighborhood. She uses the number of bedrooms, the square footage and the age of the

houses in her initial collection. Using the graphs and outputs, answer the following questions:

a) What are the independent and dependent variables? b) Discuss the feasible linearity by using the scatterplots below. The output is on the next page ? please use it to answer the rest of the questions. Predictor

Constant

sq footage

age

numb rooms Coef

-0.52

0.05646

-0.3804

6.842 S = 21.4788 SE Coef

32.91

0.01382

0.3739

3.148 R-Sq = 71.2% T

-0.02

4.09

-1.02

2.17 P

0.987

0.001

0.322

0.043 R-Sq(adj) = 66.6% Analysis of Variance

Source

Regression

Residual Error

Total DF

3

19

22 SS

21640.9

8765.4

30406.3 MS

7213.6

461.3 F

15.64 P

0.000 c) Discuss the coefficient of determination and the correlation. Use the proper ones for multiple

regression and answer in sentences. Aka R^2adj and Radj. d) Run the F test and tell us if further analysis gives any information. (Set up Ho and Ha and discuss). e) If you rejected the null from the F test, then looking at the output, what variables do you think are

important to the model?

(Give this a try ? we will discuss it in class) f) Predict the price of a house that is 30 years old, 10 rooms and 2500 square feet.

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