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 1,000   290   2 750   292   3 1,500   148   4 1,250   246   5 1,250   203   6 750   85   7 1,250   237   8 1,000   139   9 1,500   64   10 1,000   171   11 1,750   163   12 1,250   175   13 750   264   14 1,500   50   15 1,750   163   16 1,500   177   17 1,250   118   18 1,750   122   19 1,000   144   20 1,500   103            Click here for the Excel Data File     Compute the correlation between the wattage and heating area. Is there a direct or an indirect relationship? (Round your answer to 4 decimal places.)   Conduct a test of hypothesis to determine if it is reasonable that the coefficient is greater than zero. Use the 0.025 significance level. (Round intermediate calculations and final answer to 3 decimal places.) H0: ρ ≤ 0; H1: ρ > 0 Reject H0 if t > 2.101   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.)     Which heater looks like the “best buy” based on the size of the residual? (Round residual value to 3 decimal places.)

iven group data: Gp    l1        l2 .     f .                                   1      20      30       7 2     30     40       9 .                                 Find:   Midquartile 3    40     50      12  4   50   60       15 5   60    70      5 6 . 70   80      4

1) You test a new drug to reduce blood pressure. A group of 15 patients with high blood pressure report the following systolic pressures (measured in mm Hg): before medication: after medication: change: ̄y s187 120 151 143 160 168 181 197 133 128 130 195 130 147 193 157.53 27.409 187 118 147 145 158 166 177 196 134 124 133 196 130 146 189 156.40 27.060 0 2 4 -2 2 2 4 1 -1 4 -3 -1 0 1 4 1.133 2.295   a) Calculate a 95% CI for the change in blood pressure. b) Calculate a 99% CI for the change in blood pressure. c) Does either interval (the one you calculated in (a) or (b)) include 0? Why is this important? d) Now conduct a one sample t-test using μ = 0, and α = .05. Are the results consistent with (a)? Why or why not? e) Finally, conduct a one sample t-test using μ = 0, and α = .01. Are the results consistent with (b)? Why or why not?

2) d and e.