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. (i) Which of the following statements correctly define both the null hypothesis HOand the alternative hypothesis HA ? A. HO : ρ > 0 HA : ρ = 0 B. HO : ρ = 0 HA : ρ > 0 C. HO : ρ = 0 HA : ρ < 0 D. none of these answers are correct (ii) Enter the level of significance α used for this test, and the degrees of freedomdf: Enter level of significance in decimal form to nearest hundredth, followed by comma, followed by degrees of freedom value to nearest integer. Do not enter spaces. Examples of correctly entered answers: 0.01,4 0.02,11 0.05,13 0.10,46 (iii) Use technology to determine correlation coefficient r between independent variable (house value) and dependent variable (annual rental income) Enter in decimal form to nearest ten-thousandth with sign (positive or negative). Examples of correctly entered answers: -0.0001 +0.0020 -0.0500 +0.3000 +0.7115
Q5A
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
(i) Which of the following statements correctly define both the null hypothesis HOand the alternative hypothesis HA ?
A. HO : ρ > 0 HA : ρ = 0
B. HO : ρ = 0 HA : ρ > 0
C. HO : ρ = 0 HA : ρ < 0
D. none of these answers are correct
(ii) Enter the level of significance α used for this test, and the degrees of freedomdf:
Enter level of significance in decimal form to nearest hundredth, followed by comma, followed by degrees of freedom value to nearest integer. Do not enter spaces.
Examples of correctly entered answers: 0.01,4 0.02,11 0.05,13 0.10,46
(iii) Use technology to determine
Enter in decimal form to nearest ten-thousandth with sign (positive or negative). Examples of correctly entered answers:
-0.0001 +0.0020 -0.0500 +0.3000 +0.7115
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