In: Math
HouseID | Age(years) | Size(sqft) | Bedrooms | Price($1,000) |
1 | 7 | 1580 | 3 | 132.0 |
2 | 8 | 1744 | 3 | 123.9 |
3 | 5 | 1863 | 3 | 159.1 |
4 | 7 | 1824 | 4 | 126.0 |
5 | 3 | 1924 | 4 | 128.3 |
6 | 10 | 1707 | 4 | 145.4 |
7 | 5 | 1898 | 3 | 126.1 |
8 | 5 | 2063 | 4 | 128.4 |
9 | 7 | 1641 | 3 | 147.4 |
10 | 7 | 1524 | 3 | 121.5 |
11 | 4 | 2144 | 3 | 167.7 |
12 | 9 | 1518 | 2 | 109.2 |
13 | 8 | 1645 | 3 | 132.6 |
14 | 5 | 2741 | 4 | 212.3 |
15 | 6 | 1718 | 3 | 111.8 |
16 | 7 | 1713 | 3 | 119.6 |
17 | 8 | 2240 | 4 | 162.0 |
18 | 6 | 1809 | 3 | 145.1 |
19 | 3 | 1588 | 4 | 124.4 |
20 | 9 | 1941 | 3 | 129.8 |
21 | 8 | 1783 | 4 | 127.4 |
22 | 6 | 2186 | 4 | 141.8 |
23 | 7 | 2018 | 4 | 131.3 |
24 | 4 | 2375 | 4 | 164.2 |
25 | 7 | 1801 | 4 | 127.9 |
26 | 5 | 2266 | 3 | 158.8 |
27 | 2 | 1891 | 3 | 131.2 |
28 | 6 | 2514 | 4 | 173.3 |
29 | 7 | 1738 | 3 | 121.4 |
30 | 6 | 2091 | 3 | 170.0 |
31 | 7 | 2495 | 4 | 185.6 |
32 | 5 | 1551 | 3 | 111.4 |
33 | 10 | 1814 | 4 | 134.9 |
34 | 9 | 1822 | 3 | 117.1 |
35 | 6 | 2289 | 4 | 186.8 |
36 | 8 | 2080 | 3 | 141.4 |
37 | 9 | 1758 | 3 | 137.6 |
38 | 9 | 2299 | 3 | 181.5 |
39 | 8 | 2190 | 3 | 139.2 |
40 | 8 | 1671 | 3 | 137.6 |
41 | 7 | 1544 | 3 | 137.4 |
42 | 6 | 1331 | 2 | 93.7 |
43 | 6 | 1386 | 3 | 86.5 |
44 | 4 | 2219 | 4 | 153.0 |
45 | 5 | 1793 | 3 | 129.4 |
46 | 8 | 1812 | 3 | 145.5 |
47 | 11 | 1499 | 3 | 124.2 |
48 | 4 | 1766 | 3 | 134.6 |
49 | 3 | 2060 | 3 | 162.5 |
50 | 9 | 1529 | 3 | 109.1 |
51 | 6 | 1276 | 2 | 97.9 |
52 | 7 | 2086 | 3 | 146.8 |
53 | 6 | 1395 | 2 | 95.1 |
54 | 4 | 1409 | 2 | 116.0 |
55 | 8 | 2009 | 3 | 155.3 |
56 | 7 | 1894 | 4 | 144.1 |
57 | 8 | 1190 | 2 | 88.8 |
58 | 5 | 1811 | 3 | 152.6 |
59 | 2 | 1689 | 3 | 146.5 |
60 | 7 | 1690 | 3 | 136.4 |
61 | 6 | 1685 | 3 | 125.2 |
62 | 6 | 1588 | 3 | 127.6 |
63 | 6 | 1730 | 3 | 143.6 |
64 | 5 | 1951 | 3 | 158.8 |
65 | 3 | 2040 | 3 | 139.9 |
66 | 8 | 1749 | 3 | 141.2 |
67 | 6 | 1111 | 2 | 86.7 |
68 | 5 | 1775 | 4 | 116.2 |
69 | 9 | 1478 | 2 | 100.7 |
70 | 10 | 2125 | 3 | 171.8 |
71 | 4 | 1596 | 3 | 135.1 |
72 | 5 | 1610 | 3 | 139.5 |
73 | 4 | 1724 | 2 | 151.4 |
74 | 4 | 1713 | 3 | 122.5 |
75 | 9 | 1490 | 3 | 115.3 |
76 | 10 | 1881 | 3 | 152.4 |
77 | 2 | 1868 | 3 | 162.0 |
78 | 8 | 2257 | 4 | 163.6 |
79 | 9 | 1614 | 4 | 145.3 |
80 | 5 | 1775 | 3 | 143.7 |
81 | 5 | 1770 | 3 | 129.3 |
82 | 2 | 2213 | 3 | 175.1 |
83 | 3 | 1743 | 3 | 152.2 |
84 | 6 | 2068 | 3 | 162.8 |
85 | 9 | 1705 | 3 | 126.7 |
86 | 6 | 1788 | 4 | 138.5 |
87 | 6 | 2334 | 4 | 180.1 |
88 | 5 | 1579 | 2 | 103.0 |
89 | 5 | 1478 | 2 | 105.1 |
90 | 4 | 2042 | 3 | 167.2 |
91 | 8 | 2263 | 3 | 158.8 |
92 | 9 | 1659 | 3 | 122.5 |
93 | 4 | 1978 | 4 | 131.1 |
94 | 4 | 1598 | 3 | 125.2 |
95 | 2 | 2523 | 4 | 197.9 |
96 | 7 | 1846 | 3 | 143.5 |
97 | 8 | 2292 | 3 | 163.2 |
98 | 8 | 1872 | 3 | 153.8 |
99 | 7 | 1954 | 3 | 146.1 |
100 | 5 | 1679 | 3 | 118.4 |
1). Which predictor variables are statistically significant at the 10% significance level?
2). What is the slope and p-value of the bedrooms variable?
3). What percentage of the variability in price is explained by this model?
Here' the answer to the question. Please don't hesitate to give a "thumbs up " for the answer in case you're satisfied with the answer
Here' the regression exercise explained. I have performed the linear regression analysis on Excel below:
1). Which predictor variables are statistically significant at the 10% significance level?
Only variables with less than .10 p-value are statistically significant. Only Size has a p-value less than .10, so it the only variable which is statistically significant at the 10% significance level.
2). What is the slope and p-value of the bedrooms variable?
-1.458 is the slope of Bedrooms, p-value is 0.58581
3). What percentage of the variability in price is explained by this model?
74.113% of the variability in price is explained by this model. This is got from the R square in the 1st table of the linear regression output. It is a good R square indicating that current set of predictor variables capture good amount of variance in Price.