Question

Number of drinks sold Average drink price Volume of traffic Daily max temp (people per day) °F 413 65 690 2.3 870 442 108 3.65 499 240 104 3.15 726 311 108 3.4 773 437 108 2.85 571 388 85 3.5 519 276 74 1.8 470 209 107 2.2 507 251 109 2.65 753 404 94 2.55 737 363 107 3.15 373 182 63 2.25 733 333 110 3.45 718 407 68 2.45 692 315 95 3.05 479 201 80 2.95 701 443 65 2.15 931 499 94 2 684 367 70 2.05 845 490 95 2.95 807 453 61 1.65 887 441 103 3.6 893 480 105 3.9 710 453 66 2.3 523 207 94 2.55 730 349 108 3.35 678 324 93 4 482 303 86 3.75 541 187 113 2.45 872 498 110 2.1

Answer 1

a) the output of regression analysis is

SUMMARY OUTPUT Regression Statistics Multiple F 0.936192 R Square 0.876455 Adjusted 0.8622 Standard I 55.90161 Observati 30 ANOVA df Regressio Residual Total SS MS F gnificance F 3 576403.1 192134.4 61.48319 6.15E-12 26 81249.74 3124.99 29 657652.8 Coefficientsandard Err t Stat P-value Lower 95%Upper 95%ower 95.09pper 95.0% Intercept -24.6411 71.06379 -0.34675 0.731573 -170.715 121.4326 -170.715 121.4326 Volume o 1.366585 0.103166 13.24644 4.55E-13 1.154524 1.578647 1.154524 1.578647 Daily max 2.555597 0.693171 3.686824 0.001052 1.130765 3.98043 1.130765 3.98043 Average d -5.53236 18.14441 -0.30491 0.762864 -42.8287 31.764 -42.8287 31.764

f) the output of regression analysis is

AM AN AO AP AQ AR AS AK AL SUMMARY OUTPUT Regression Statistics Multiple F 0.935956 R Square 0.876013 Adjustedi 0.866829 Standard I 54.95462 Observati 30 ANOVA df Regressio Residual Total SS MS F gnificance F 2 576112.5 288056.3 95.38255 5.76E-13 27 81540.27 3020.01 29 657652.8 Coefficientandard Err t Stat P-value Lower 95%Upper 95%ower 95.09 pper 95.0% Intercept -29.7264 67.90876 -0.43774 0.665057 -169.064 109.6109 -169.064 109.6109 Volume o 1.365036 0.101295 13.47579 1.67E-13 1.157195 1.572877 1.157195 1.572877 Daily max 2.447714 0.585969 4.177209 0.000277 1.245406 3.650023 1.245406 3.650023

Sola a) The deluired regression line is ŷ = -24.611 + 1.366 X1 + 2.555*, +(-5.532) >> b) F-test - 61.483 P-value -0-0000 since P-value << (0.05), hence we reject Ho. g2=0.876 d) S - 55.901 e) Daily mar Lemperature is significant as P-value <200.05) F) = -29.726 + 1.365X1 + 2.447 X, 3) 82 = 0.876, unchanged h ) 54.954-5, decreased reduced model