In: Statistics and Probability
The homeownership rate in the U.S. was 67.2% in 2009. In order to determine if homeownership is linked with income, 2009 state-level data on the homeownership rate (Ownership in %) and median household income (Income in $) were collected. A portion of the data is shown in the accompanying table.
| State | Ownership | Income |
| Alabama | 73.9 | 39870 |
| Alaska | 66.7 | 61494 |
| Arizona | 68.7 | 45629 |
| Arkansas | 68.3 | 36428 |
| California | 56.9 | 56024 |
| Colorado | 68.3 | 55820 |
| Connecticut | 70.4 | 64741 |
| Delaware | 76.3 | 52004 |
| District of Columbia | 44.8 | 53031 |
| Florida | 70.7 | 45521 |
| Georgia | 67.2 | 43230 |
| Hawaii | 59.4 | 55539 |
| Idaho | 75.3 | 46668 |
| Illinois | 69 | 52760 |
| Indiana | 71.8 | 44195 |
| Iowa | 72.2 | 50611 |
| Kansas | 67.2 | 44607 |
| Kentucky | 71 | 42554 |
| Louisiana | 71.7 | 45323 |
| Maine | 73.8 | 47392 |
| Maryland | 69.5 | 64076 |
| Massachusetts | 65 | 59263 |
| Michigan | 74.3 | 45884 |
| Minnesota | 72.8 | 55980 |
| Mississippi | 75.3 | 34968 |
| Missouri | 71.8 | 48659 |
| Montana | 70.5 | 40327 |
| Nebraska | 70 | 49485 |
| Nevada | 62.3 | 51324 |
| New Hampshire | 75.9 | 64021 |
| New Jersey | 65.8 | 64667 |
| New Mexico | 68.9 | 43432 |
| New York | 54.3 | 50106 |
| North Carolina | 69.9 | 41796 |
| North Dakota | 65.6 | 49965 |
| Ohio | 69.5 | 45769 |
| Oklahoma | 69.4 | 45768 |
| Oregon | 68 | 48988 |
| Pennsylvania | 72 | 48062 |
| Rhode Island | 62.8 | 51524 |
| South Carolina | 74.2 | 40991 |
| South Dakota | 69.4 | 45716 |
| Tennessee | 70.9 | 40407 |
| Texas | 65.2 | 47365 |
| Utah | 74 | 58381 |
| Vermont | 74.1 | 52208 |
| Virginia | 69.6 | 60391 |
| Washington | 65.4 | 60282 |
| West Virginia | 78.5 | 40380 |
| Wisconsin | 70.2 | 51127 |
| Wyoming | 73.6 | 52360 |
a-1. Estimate the model Ownership = β0 + β1Income + ε.
y^ = _____+ _____ Income
b. What is the standard error of the estimate?
Standard Error: