A consumer buying cooperative tested the effective heating area of 20 different electric space heaters with...

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A consumer buying cooperative tested the effective heating areaof 20 different electric space heaters with different wattages.Here are the results.
Heater Wattage Area
1 1,500 183
2 1,000 30
3 1,500 345
4 1,500 235
5 1,500 465
6 2,000 565
7 1,500 455
8 1,250 455
9 1,000 255
10 1,750 545
11 1,750 480
12 450 20
13 2,200 725
14 350 15
15 200 15
16 300 15
17 1,750 475
18 1,300 445
19 800 20
20 300 35
Click here for the Excel Data File
Compute the correlation between the wattage and heating area. Isthere a direct or an indirect relationship? (Negative valueshould be indicated by a minus sign. Round your answer to 3 decimalplaces.)
Conduct a test of hypothesis to determine if it is reasonablethat the coefficient is greater than zero. Use the 0.10significance level. (Negative value should be indicated bya minus sign. Round intermediate calculations and final answer to 3decimal places.)
H₀: Ï â‰¤ 0; H₁: Ï > 0Reject H₀ if t > 1.3304
Develop the regression equation for effective heating based onwattage. (Negative value should be indicated by a minussign. Round your answers to 3 decimal places.)
Which heater looks like the â€œbest buyâ€ based on the size of theresidual? (Negative value should be indicated by a minussign. Round residual value to 2 decimal places.)

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4.1 Ratings (557 Votes)

wattageareaRESIDUAL OUTPUT1500183Correlation100030ObservationPredicted YResiduals1500345Column 1Column 2SUMMARY OUTPUT13933571182103571500235Column 1122221159411921161500465Column See Answer

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Heater	Wattage	Area
1	1,500		183
2	1,000		30
3	1,500		345
4	1,500		235
5	1,500		465
6	2,000		565
7	1,500		455
8	1,250		455
9	1,000		255
10	1,750		545
11	1,750		480
12	450		20
13	2,200		725
14	350		15
15	200		15
16	300		15
17	1,750		475
18	1,300		445
19	800		20
20	300		35