The table below contains the value of the house and the amount of rental income in a year that the house brings in ("Capital and rental," 2013).

Table:Data of House Value versus Rental

Value

Rental

Value

Rental

Value

Rental

Value

Rental

81000

6656

77000

4576

75000

7280

67500

6864

95000

7904

94000

8736

90000

6240

85000

7072

121000

12064

115000

7904

110000

7072

104000

7904

135000

8320

130000

9776

126000

6240

125000

7904

145000

8320

140000

9568

140000

9152

135000

7488

165000

13312

165000

8528

155000

7488

148000

8320

178000

11856

174000

10400

170000

9568

170000

12688

200000

12272

200000

10608

194000

11232

190000

8320

214000

8528

208000

10400

200000

10400

200000

8320

240000

10192

240000

12064

240000

11648

225000

12480

289000

11648

270000

12896

262000

10192

244500

11232

325000

12480

310000

12480

303000

12272

300000

12480

Test at the 5% level for a positive correlation between house value and rental amount.

1. Determine standard error of the estimate
2. compute a 95% prediction interval for the annual rental income on a house with value xo=$230,000
3. Determine which of the following 95% prediction intervals is most correct $7002.31

$8014.83

8027.53 < y < 13924.46

$8526.49