STA 4210 Homework #4 Due 12/05/14 Part 1: Ballistic Tests on various layers of cloth panels A study was conducted to measure the effect of the number of layers of panels in cloth fabric and the velocity needed for half of a ballistic discharge to penetrate the fabric, separately for 3 types of bullets (Rounded, sharp, fsp). Dataset: ballistic1.dat Source: R.A. Prosser, S.H. Cohen, and R.A. Segars (2000). "Heat as a Factor of Cloth Ballistic Panels by 0.22 Caliber Projectiles," Textile Research Journal, Vol. 70: pp. 709-723. Description: Experiments measuring V50 (velocity at which approximately half the projectiles within a specified (narrow) striking velocity range penetrate the panel, in meters/second). Model fit: V50A2 = a + b*panels, seperately by bullet type (round, sharp, FSP). Note: appears to be a typo on the rounded regression of Table II, p. 717 and on last recorded observation in Table 1. Variables / Columns Bullet Type 8 /* 1=Rounded, 2=Sharp, 3=FSP */ Number of layers in panel 15-16 V50 (m/s) 20-24 sharp indicator 32 FSP indicator 40 The models fit are: nah/5:) =, +nLayers 2) Ema) =13, +nLayers +25harp +53FSP 3 )Eh/S) =l30 +1Layers +ZSharp +3FSP +/34(Layers x Sharp) +5(Layers x FSP) a. Give the fitted equations, SSR, SSE, and R2 for each model