Question

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

Heater	Wattage		Area
1	1,460		229
2	790		55
3	1,430		176
4	1,260		124
5	1,280		161
6	1,290		230
7	1,010		103
8	1,900		281
9	1,100		136
10	1,530		240
11	1,150		87
12	420		76
13	400		56
14	1,440		181
15	1,940		255
16	1,420		223
17	680		75
18	1,580		198
19	1,320		126
20	550		21

1) Compute the correlation between the wattage and heating area. Is there a direct or an indirect relationship? (Negative value should be indicated by a minus sign. Round your answer to 3 decimal places.)

The correlation of Wattage and Area is ____. The link is Direct or Inverse?

2) Conduct a test of hypothesis to determine if it is reasonable that the coefficient is greater than zero. Use the 0.01 significance level. (Negative value should be indicated by a minus sign. Round intermediate calculations and final answer to 3 decimal places.)

H₀: ρ ≤ 0; H₁: ρ > 0 Reject H₀ if t > 2.5524 3

t=___

Reject or Do Not Reject? H0. It is quite reasonable to say the population correlation is Postive or Negative?

3) 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.)

Regression Equation is Area or Wattage?=_____+_____ Area or Wattage?

Answer 1