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?

Does the price of an appliance convey something about its quality?
Washers are classified as top-load high efficiency (HE), top-
load agitator, and front-load washers. The best front-loaders clean better and are gentler than the best HE top-loading washing machines while using less water. Front-loaders take longer than HE top-loaders but spin faster, extracting more water, and reducing dryer time. Fifty-four different front-loading washers were ranked19 on characteristics ranging from an overall satisfaction score, washing performance (x1), energy efficiency (x2), water efficiency (x3), gentleness (x4), noise (x5), vibration (x6), capacity (x7), and cycle time (x8). Variables x1 through x6 are converted scores for pictograms where 5 5 (excellent), 5 4 (very good), 5 3 (good), 5 2 (fair) and 5 1 (poor). Use a statistical package to explore the relationships between various pairs of variables in the table.

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Washing Energy Water Gentleness Noise Vibration Capacity Cycle Brand/Model Price Score (x,) (x) (x3) (x) (X5) (x) (x,) Time (x) 1 Electrolux EFLS618SIW 2 Electrolux EFLS517SIW 3 Electrolux EFLW317TIW $900 64 810 56 660 34 4 Electrolux EFLW417SIW 600 33 5 Frigidaire FFFS5115PA 855 62 6 Frigidaire FFFW5100PW 760 54 7 Frigidaire FFFW5000QW 575 54 8 GE GFW480SSKWW 900 62 9 GE GFW480SSKWW 900 62 10 GE GFW490RSKWW 900 63 11 Kenmore Elite 41072 1260 82 12 Kenmore Elite 41962 950 82 13 Kenmore Elite 41002 1500 81 5545333333555 5 4 4 4 3 4 5 5 5 14 Kenmore 41262 600 80 4 15 Kenmore Elite 41682 850 80 4 16 Kenmore 51392 775 79 4 17 Kenmore 41302 800 79 4 18 Kenmore 41382 680 77 4 19 Kenmore 41162 1440 77 4 20 LG WM3370HWA 800 84 5 21 LG WM9000HVA' 1350 83 5 22 LG WM5000HWA 1050 82 5 23 LG' Signature WM9500HKA 1800 81 24 LG WM5005HKA 1500 81 25 LG WM3997HWA 1740 81 26 LG WM4370HWA 850 81 27 LG WM3670HWA 700 80 5454 4 4 4 28 LG WM3270CW 720 80 4 29 LG WM3770HWA 900 79 4 30 LG WM4270HWA 700 78 4 31 LG WM8100HWA 1155 78 4 32 Maytag Maxima 1150 86 5 4 2 4 2 4 1 5 455555 1 4 4 5. 4 4 442433 34 33333334 4.4 85 4.3 80 4.3 80 3 4.3 75 3 3.9 75 3 3.9 60 3.9 60 4 4.9 90 4 4 4 4.9 90 4 4 4 4.9 90 5 5 5 5 5 5 5 5 5 5 4 5 1445444444444 4455AAAEAAAARRRR44 55555555555555555555 4 4 5.2 95 4 4 5.2 95 4 4 4.5 100 4 4 4.5 90 4 4 4.5 75 4 4 4.5 90 4 4 4.5 90 4 4 4.3 110 4 4 4.3 110 4 4 4.3 110 5 5.2 105 4 4.5 105 4 5.8 120 4 4.5 75 4 4.3 100 4 4.5 75 4 4.5 90 4 4.5 90 4 4.5 90 4 4.5 75 5.2 95 4.5 70 MHW8200FW 33 Maytag Maxima 1350 86 50 5 5 4 4 4 4.5 MHW8150EW 34 Maytag Maxima 750 86 5 5 5 4 4 4 MHW5500FW 35 Maytag MHW3505FW 650 83 5 5 5 3 3 5 Et 4.5 4.4 22100 70 70 85