Hw 4 - 3.84 a age < 28 yrs 28­40 40 + Totals age...

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Unformatted text preview: 3.84 a age < 28 yrs 28­40 40 + Totals age < 28 yrs 28­40 40 + totals age < 28 yrs 28­40 40 + age < 28 yrs 28­40 40 + Totals 653 574 < 6 months Time since las consultation a 6 months ­ 1 yr 1 yr + marginal totals 413 192 295 900 574 208 218 1000 653 288 259 1200 1640 688 772 3100 6 months ­ 1 yr 1 yr + 0.13 0.06 0.19 0.07 0.21 0.09 0.53 0.22 6 months ­ 1 yr 1 yr + 0.46 0.21 0.57 0.21 0.54 0.24 6 months ­ 1 yr 1 yr + 0.25 0.28 0.35 0.3 0.4 0.42 1 1 marginal totals 0.1 0.29 0.07 0.32 b 0.08 0.39 0.25 1 marginal totals 0.33 1 0.22 1 0.22 1 c b < 6 months c < 6 months d < 6 months 0.38 0.28 0.34 1 # o f P e o p l e 700 600 500 400 300 200 100 0 413 d 295 Row 3 Row 4 Row 5 288 192208 259 218 120 Time Since Last Consultation Number of Castings Rejected 100 80 60 40 20 0 1 17 16 18 12 8 87 110 3.85 a sand shift drop corebreak 1st shift 2nd shift 3rd shift 87 110 16 17 12 17 18 16 72 4 16 33 Total 269 37 45 67 17 Sh ings Rejected 40 20 0 1 17 16 18 12 8 17 broken other Total b 1st shift 17 8 158 12 18 190 2nd shift 3rd shift 0.21 0.03 0.03 0.03 0.02 0.03 20 22 167 Total 49 48 515 Sh sand shift drop corebreak broken other Total 0.17 0.03 0.02 0.03 0.03 0.02 0.14 0.01 0.03 0.06 0.04 0.04 0.52 0.07 0.09 0.13 0.1 0.09 1 c sand shift drop corebreak broken other Total 1st shift 2nd shift 3rd shift 0.55 0.58 0.1 0.09 0.08 0.09 0.11 0.08 0.11 0.06 0.05 0.09 1 1 2nd shift 3rd shift 0.32 0.41 0.43 0.46 0.27 0.38 0.27 0.24 0.35 0.24 0.17 0.38 0.43 0.02 0.1 0.2 0.12 0.13 1 Total d sand shift drop corebreak broken other 1st shift 0.27 0.11 0.36 0.49 0.41 0.46 1 1 1 1 1 1 3.94 a x 0 3 2 2 1 3 2 4 1 1 y 25 80 45 40 36 75 50 95 30 15 19 b Sum of x sum x2 sum of y sum y2 xy r r2 c d y = 20.395x + 10.349 49 491 30221 0.94 0.88 a) allows us to find the correlation coefficient b) the correlation coefficient measures the strength of a relationship c) 3.1 city Stations atlanta baltimore boston chicago cleveland L.A. Miami Philly San Fran Washington 38 14 53 144 18 16 22 53 43 86 Vehicles Track (miles) 252 193 100 34 408 108 1190 288 60 42 102 34 136 57 371 102 669 246 950 226 a) chicago and new york have many more stations, vehicles, and track than the rest b) the data for new york is much like an outlier and will throw off the relationship between variables c) 4.5 level total 2 3 4 5 6 People in 10 am class people in 11 am class total 16 16 32 15 11 26 9 7 16 8 3 11 0 3 3 48 40 88 a) b) c) d) 0.18 0.55 0.17 0.03 4.53 store USA abroad KFC 5450 Pizza Hut 6306 Taco Bell 5030 Long John Silver's200 1 A&W All­American485 Total 18471 total 7676 13126 4680 10986 193 5223 33 1233 209 694 12791 31262 a) 0.59 b) 0.41 c) 0.35 d) 0.16 e) 0.01 f) 0.25 g) 0.6 h) most of the business by kfc is abroad rather than domestic sand shift drop corebreak broken other Total 1st shift 87 16 12 18 17 8 158 2nd shift 3rd shift Total 110 72 269 17 4 37 17 16 45 16 33 67 12 20 49 18 22 48 190 167 515 a x 1st shift 2nd shift 3rd shift Total sand 0.17 0.21 0.14 shift 0.03 0.03 0.01 drop 0.02 0.03 0.03 corebreak 0.03 0.03 0.06 broken 0.03 0.02 0.04 other 0.02 0.03 0.04 Total 1st shift 2nd shift 3rd shift sand 0.55 0.58 0.43 shift 0.1 0.09 0.02 drop 0.08 0.09 0.1 corebreak 0.11 0.08 0.2 broken 0.11 0.06 0.12 other 0.05 0.09 0.13 Total 1 1 1 1st shift 2nd shift 3rd shift Total sand 0.32 0.41 0.27 shift 0.43 0.46 0.11 drop 0.27 0.38 0.36 corebreak 0.27 0.24 0.49 broken 0.35 0.24 0.41 other 0.17 0.38 0.46 120 100 80 60 40 20 0 1 2 Shifts 3 17 16 18 12 8 17 16 18 17 12 33 16 4 22 20 87 72 110 0.52 0.07 0.09 0.13 0.1 0.09 1 0 3 2 2 1 3 2 4 1 1 y 25 80 45 40 36 75 50 95 30 15 19 49 491 30221 0.94 0.88 b Sum of x sum x2 sum of y sum y2 xy r r2 c d y = 20.395x + 10.349 a) allows us to find the correlation coeffi b) the correlation coefficient measures th c) 1 1 1 1 1 1 Age vs. Length of Bla 100 90 80 70 60 50 40 30 20 10 0 0 0.5 1 1.5 2 Age 2.5 3 Length (in mm) R² = 0.88 f(x) = 20.4x + 10.35 sand shift drop corebreak broken other 3.5 40 20 0 1 2 Shifts 17 16 18 12 8 17 16 18 17 12 33 16 4 3 22 20 drop corebreak broken other ship between variables city atlanta baltimore boston chicago cleveland L.A. Miami Philly San Fran Washington Stations Vehicles 38 252 14 100 53 408 144 1190 18 60 16 102 22 136 53 371 43 669 86 950 a) chicago and new york have many more stations b) the data for new york is much like an outlier and c) track vs. 160 to find the correlation coefficient lation coefficient measures the strength of a relationship # of Stations 140 120 100 80 60 40 20 0 0 50 100 150 f(x) = 0.33x + 4.19 R² = 0.65 vs. Length of Blacknose Dace 0.88 20.4x + 10.35 Column Q Linear Regression for Column Q Linear Regression for Column Q Miles of Trac 1 1.5 2 Age 2.5 3 3.5 4 4.5 Track (miles) 193 34 108 288 42 34 57 102 246 226 level total a) b) c) d) 2 3 4 5 6 have many more stations, vehicles, and track than the rest is much like an outlier and will throw off the relationship between variables track vs. # of stations .33x + 4.19 5 Column Y Linear Regression for Column Y 50 100 150 200 250 300 Miles of Track People in 10 am class people in 11 am class total 16 16 15 11 9 7 8 3 0 3 48 40 0.18 0.55 0.17 0.03 32 26 16 11 3 88 store KFC Pizza Hut Taco Bell Long John Silver's A&W All­American Total a) b) c) d) e) f) g) h) most of the business by kfc is a USA abroad total 5450 7676 13126 6306 4680 10986 5030 193 5223 1200 33 1233 485 209 694 18471 12791 31262 0.59 0.41 0.35 0.16 0.01 0.25 0.6 e business by kfc is abroad rather than domestic ...
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