A manager wants to build a theory. He wants to know the price of the house and its relationship with the area of the house and the age of the house. He built the theory as the following picture shows. He expressed the theory mathematically with the equation:   = 0 + 1    + 2     He wants to test the following two hypotheses: H1: House Prices are influenced by Area of Houses. H2: House Prices are influenced by House Age Perform a regression analysis for this problem. Report all important and relevant statistics. Use the sample data in the following table. What are the conclusions from this study.

Luas Rumah Harga Rumah Umur Rumah Age of house year) Large of House (ft2) 2605 House price ($1000) 93.0 25 2489 50 65.1 1553 20 69.9 2404 32 76.8 1884 25 73.9 1558 14 77.9 1748 8 74.9 3105 10 78.0 1682 28 79.0 2470 30 83.4 1820 3 79.5 2143 6 83.9 2121 14 79.7 9 84.5 2485 2300 19 96.0 2714 5 109.5 2463 5 102.5 3076 7 121.0 104.9 3048 4 3267 6 128.0 3069 10 129.0 4765 11 117.9 4540 8 140.0 Luas Rumah Harga Rumah Umur Rumah Age of house year) Large of House (ft2) 2605 House price ($1000) 93.0 25 2489 50 65.1 1553 20 69.9 2404 32 76.8 1884 25 73.9 1558 14 77.9 1748 8 74.9 3105 10 78.0 1682 28 79.0 2470 30 83.4 1820 3 79.5 2143 6 83.9 2121 14 79.7 9 84.5 2485 2300 19 96.0 2714 5 109.5 2463 5 102.5 3076 7 121.0 104.9 3048 4 3267 6 128.0 3069 10 129.0 4765 11 117.9 4540 8 140.0