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Table #A contains the value of the house and the amount of rental income in a year that the house brings in: Expert Solutions for Success

 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

Answer

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 = 0.05the 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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