Does the price of an appliance convey something about its quality? Forty-eight different dishwashers were ranked on characteristics ranging from an overall satisfaction score, washing (x1), energy use (x2), noise (x3), ease of use (x4), and cycle time (in minutes). The Bosch (SHE55M1[2]UC) had the highest performance score of 82 while the GE (GLD4408R[WW]) had the lowest at 53. Ratings pictograms were converted to numerical values for x1, ..., x4, where 5 = Excellent, 4 = Very good, 3 = Good, 2 = Fair, and 1 = Poor. Use a statistical computer package to explore the relationships between various pairs of variables in the table.

1. Look at the variables Price, Score, and Cycle Time individually. What can you say about symmetry? About outliers?
2. Look at all the variables in pairs. Which pairs are positively correlated? Negatively correlated? Are there any pairs that exhibit little or no correlation? Are some of these results counterintuitive?
3. Does the price of an appliance, specifically a dishwasher, convey something about its quality? Which variables did you use in arriving at your answer?

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Energy Brand and Model Kenrnore Elite UltraWash KitchenAid KUDE70CV[SS] KitchenAid KUDS30MWH] Maytag MDB8959AWW Maytag MTB4TO9AWW 344444444443 5 Xy-254443344454 4 3 3 3323414432333 4 4544534443324 454454554544 4 3 4 4444455543444 5 5555544444445 x; 44.55 554554 4 5 4 4534534 34555 b 5b5555555b455 30 45 80 80 20 35 1 1 2 1 1 1 35 55 45 35 20 35 10 10 15 45 25 10 20 25 35 40 45 45 25 35 40 20 5 5 30 2 2 2 4 ase use ted 0血鼎00 4 4 (O @ 4 OOO. }()(000C4 ▲ ▲ 4 € 0.) ODO ar } use ted )으 4 4 00 4 4 0 00() 0( 0 000 4 4 0( 쓰 @o ^ 스 oo )( hae-360 600 500 300 350 800 800 900 150 700 1 1 200 350 350 500 600 400 600 300 300 100 BM $10 000 sod bso sod 750 100 200 200 1 300晒990 700 000 150 750 400 150 ] 3 기 ー 22 xlt Very good Poor Ease of Cycle Overall Washing UseNoise Use Time Energy Brand and Model Whirlpool DU1030XT Whirlpool DU105EXTMa Whirlpool DU1300xM0] Whirlpool Gold GUZ300XMa Whirlpool Gold GU2800xrvu Whirlpool Gold GU3600xiVIa 350 68 o ▼ 130 54 400 76 ▲ 125 543 420 72 o O 140 5 333 550 78O135 434 700 77O1555 534 800 77 ▲145 4 5 4