Heater Wattage Area 1 1000 108 2 750 291 3 1500 100 4 1000 43 5 1250 68 6 1500 181 7 1250 254 8 750 228 9 1500 126 10 1500 166 11 750 45 12 750 237 13 1000 75 14 1750 126 15 1750 249 16 1750 105 17 1750 298 18 1250 212 19 750 98 20 750 185 A consumer buying cooperative tested the effective heating area of 20 different electric space heaters with different wattages. a. Compute the correlation between the wattage and heating area. Is there a direct or an indirect relationship? (Round your answer to 4 decimal places.) The correlation of Wattage and Area is ________ b. Conduct a test of hypothesis to determine if it is reasonable that the coefficient is greater than zero. Use the 0.050 significance level. (Round intermediate calculations and final answer to 3 decimal places.) H0: ρ ≤ 0; H1: ρ > 0 Reject H0 if t > 1.734 t =___________ c. Develop the regression equation for effective heating based on wattage. (Negative value should be indicated by a minus sign. Round your answers to 3 decimal places.) The regression equation is _________=____________+__________wattage
|
Heater |
Wattage |
Area |
|
1 |
1000 |
108 |
|
2 |
750 |
291 |
|
3 |
1500 |
100 |
|
4 |
1000 |
43 |
|
5 |
1250 |
68 |
|
6 |
1500 |
181 |
|
7 |
1250 |
254 |
|
8 |
750 |
228 |
|
9 |
1500 |
126 |
|
10 |
1500 |
166 |
|
11 |
750 |
45 |
|
12 |
750 |
237 |
|
13 |
1000 |
75 |
|
14 |
1750 |
126 |
|
15 |
1750 |
249 |
|
16 |
1750 |
105 |
|
17 |
1750 |
298 |
|
18 |
1250 |
212 |
|
19 |
750 |
98 |
|
20 |
750 |
185 |
A consumer buying cooperative tested the effective heating area of 20 different electric space heaters with different wattages.
a. Compute the
The correlation of Wattage and Area is ________
b. Conduct a test of hypothesis to determine if it is reasonable that the coefficient is greater than zero. Use the 0.050 significance level. (Round intermediate calculations and final answer to 3 decimal places.)
H0: ρ ≤ 0; H1: ρ > 0 Reject H0 if t > 1.734
t =___________
c. Develop the regression equation for effective heating based on wattage. (Negative value should be indicated by a minus sign. Round your answers to 3 decimal places.)
The regression equation is _________=____________+__________wattage
d. What heating area corresponds with a 1,500-watt heater? (Round your answers to 4 decimal places.)
Heating Area_________
e. What is the 95% confidence interval of heating the area if the wattage is 1,500? (Round your answers to 4 decimal places.)
{_________,__________}
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d. What heating area corresponds with a 1,500-watt heater? (Round your answers to 4 decimal places.)
Heating Area_________
e. What is the 95% confidence interval of heating the area if the wattage is 1,500? (Round your answers to 4 decimal places.)
{_________,__________}
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