Table #A contains the value of the house and the amount of rental income in a year that the house brings in. Test at the 5% level for a positive correlation between house value and rental amount. a
Table #A: Data of House Value versus Rental
|
Value |
Rental |
Value |
Rental |
Value |
Rental |
|
81000 |
6656 |
77000 |
4576 |
75000 |
7280 |
|
95000 |
7904 |
94000 |
8736 |
90000 |
6240 |
|
121000 |
12064 |
115000 |
7904 |
110000 |
7072 |
|
135000 |
8320 |
130000 |
9776 |
126000 |
6240 |
|
145000 |
8320 |
140000 |
9568 |
140000 |
9152 |
|
165000 |
13312 |
165000 |
8528 |
155000 |
7488 |
|
178000 |
11856 |
174000 |
10400 |
170000 |
9568 |
|
200000 |
12272 |
200000 |
10608 |
194000 |
11232 |
|
214000 |
8528 |
208000 |
10400 |
200000 |
10400 |
|
240000 |
10192 |
240000 |
12064 |
240000 |
11648 |
|
289000 |
11648 |
270000 |
12896 |
262000 |
10192 |
|
325000 |
12480 |
310000 |
12480 |
303000 |
12272 |
The Correlation coefficient calculated as
Let X to be the House value and Y to be the rental income
For N= 72, and dof = 72 - 2 + 70 at α = 0.05
the critical value of the correlation coefficient is 0.232.
Since r; 0.7548 > 0.232, r is significant and the line may be used for prediction and there is a positive correlation between house value and rental amount.
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