In: Statistics and Probability
A realtor studies the relationship between the size of a house (in square feet) and the property taxes (in $) owed by the owner. The table below shows a portion of the data for 20 homes in a suburb 60 miles outside of New York City. [You may find it useful to reference the t table.
| Property Taxes | Size | 
| 21985 | 2428 | 
| 17448 | 2413 | 
| 18247 | 1847 | 
| 15636 | 1061 | 
| 43943 | 5672 | 
| 33618 | 2525 | 
| 15255 | 2216 | 
| 16784 | 1916 | 
| 18153 | 2003 | 
| 16759 | 1316 | 
| 15192 | 1335 | 
| 36072 | 3034 | 
| 31015 | 2829 | 
| 42195 | 3379 | 
| 14356 | 1500 | 
| 38938 | 4053 | 
| 25355 | 4051 | 
| 22961 | 2448 | 
| 16181 | 3506 | 
| 29206 | 2803 | 
a-1. Calculate the sample correlation coefficient rxy. (Round intermediate calculations to at least 4 decimal places and final answers to 4 decimal places.)
c-1. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)