Question: a. Determine the simple linear regression equation. Use formulas b. Validate the hypothesis if there is a positive Linear Relation (Ho>0 ). c. Using an

a. Determine the simple linear regression equation. Use formulas

b. Validate the hypothesis if there is a positive Linear Relation (Ho>0 ).

c. Using an alpha or significance level of 0.05 Test the hypothesis about the coefficient

of positive correlation to know if there is a positive relationship between income and the price of housing. (Ho >0)

d. Make a Scatter XY graph and calculate the linear regression equation and the coefficient

of determination (Using Excel)

e. For an income of $95,000 what house price would be obtained?

X Y XY X^2 Y^2
City Income Home Price
Akron, OH 74.1 114.9 8514.09 5490.81 13202.01
Atlanta, GA 82.4 126.9 10456.56 6789.76 16103.61
Birmingham, AL 71.2 130.9 9320.08 5069.44 17134.81
Bismark, ND 62.8 92.8 5827.84 3943.84 8611.84
Cleveland, OH 79.2 135.8 10755.36 6272.64 18441.64
Columbia, SC 66.8 116.7 7795.56 4462.24 13618.89
Denver, CO 82.6 161.9 13372.94 6822.76 26211.61
Detroit, MI 85.3 145 12368.5 7276.09 21025
Fort Lauderdale, FL 75.8 145.3 11013.74 5745.64 21112.09
Hartford, CT 89.1 162.1 14443.11 7938.81 26276.41
Lancaster, PA 75.2 125.9 9467.68 5655.04 15850.81
Madison, WI 78.8 145.2 11441.76 6209.44 21083.04
Naples, FL 100 173.6 17360 10000 30136.96
Nashville, TN 77.3 125.9 9732.07 5975.29 15850.81
Philadelphia, PA 87 151.5 13180.5 7569 22952.25
Savannah, GA 67.8 108.1 7329.18 4596.84 11685.61
Toledo, OH 71.2 101.1 7198.32 5069.44 10221.21
Washington, DC 97.4 191.9 18691.06 9486.76 36825.61

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