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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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