Question

In the United States, tire tread depth is measured in 32nds of an inch. Car tires typically start out with 10/32 to 11/32 of an inch of tread depth. In most states, a tire is legally worn out when its tread depth reaches 2/32 of an inch. A random sample of four tires provides the following data on mileage and tread depth: Mileage (10,000 miles) Tread Depth (32nds of an inch) Tire A scatter diagram of the sample data is shown below (blue points). The line y = 9 - 2x is also shown in orange. TREAD DEPTH (32nds of an ) O Sum of Distances Ix-bar, y-bar) 0 1 2 3 4 MILEAGE (10,000 miles) Help Clear All

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Answer 1

® 4-11-22 gives slope = -2 Mean -X = (1424344) = 2.5 Mean - Y - ( 848 +948) .: Mean = (2-5,7) ... The lire passing through mean (2.5, 7) with Alope ² Y = -2xtc Jan? *(2.5) Coats ? 1₂ . Y=12-22 rum of residual Y= 1-2x x=liy=9 residual a 8-9-01 .X=274 + 9 residual 28-921 x=3: Y=5 deridual a 7-8=2 X= 4; 42.3 residual a*8=2 Sum of lenicial 2-1+1+2+2 Sum of squaled hen'dual - 1+1444 by Star. z 10