Question

Suppose that each ordered pair above represents the level of the Raspian Sea, in feet, with respect to sea level, as a function of the number of years since 2008. According to the linear model you found, what will the level of the sea be, with respect to sea level, in 2020?

a. Find the least squares regression line for the points (2,3),(3,2).(5,1).(6,0) b. Suppose that each ordered pair above represents the level of the Raspian Sea, in feet, with respect to sea level, as a function of the number of years since 2008. According to the linear model you found, what will the level of the sea be, with respect to sea level, in 2020? CRYPTOGRAPHY: Read page 102-105. 1 3 1 a. Encode the message THE BRITISH ARE COMING using the matrix 2 3 1 -2 0 1 b. Intelligence sources give the information that the message PHILLY CAFE AT TWO was sent as 46, -69, -2, 31, 84, -137, -50, -66, 29, -57,-23, -45, 41, -22, 39, 158, 68,-121, -53,-91 i. Find the 4x4 encoding matrix. li. Decode the message 35, -53, 6, 41, 16, -35,-14,-31, 36,-33, 26, 109, 5,-10, -5,-10.

Answer 1

XValues YValues 3.5 2.5 M: 4 M: 1.5 1.5 x-Independent Regression Line (9--0.7X 4.3) Estimate Calculation Summary Sum of X 16 Sum of Y 6 Mean X-4 Mean Y= 1.5 Sum of squares (SS)10 sum of products (SP) =-7 Regression Equation-y bX+ a b= SPISS,--7/10=-0.7 a - My bMx 1.5-(-0.7*4)4.3 -0.7X+ 4.3 X- Mx (X- Mx)2 (X-MxXY- My) 4 0.5 -0.5 0.5 0.5 4 SS: 10 SP:7

Year 2020 is represented as X = 2020-2008=12

Y= -0.7X +4.3

Y=(-0.7)(12)+4.3

Y=-8.4+4.3 =-4.1

In 2020 sea level of raspian sea with respect to sea level is -4.1 feet i. e. Level of raspian sea is 4.1 feet below the level of sea