Question

Use the given data to find the equation of the regression line. Fill out the table below and show how you calculate each value below. Round the final values of a and b to three decimal places, if necessary. 5) x 10 3 4 5 12 y 18 2 6 9 12 5) y = Y x-X y-у (x - 2)2 (x - x)(y-y) y 8 0 3 2 4 6 5 9 12 12 b = ge ý=

Answer 1

X-8 Y-ý (X- * 12 (X-XY-y.) -4.8 -1.8 -0.8 0.2 7.2 0.6 -5.4 -1.4 1.6 4.6 23.04 3.24 0.64 0.04 51.84 -2.88 9.72 1.12 0.32 33.12 SS: 78.8 SP: 41.4

Sum of X= 24 Sum of Y= 37 Mean X= 4.8 Mean Y= 7.4 Sum of squares (SSx) = 78.8 Sum of products (SP) = 41.4 Regression Equation = û = bx + a b = SPISSx= 41.4/78.8 = 0.52538 a = Y - bx = 7.4 - (0.53*4.8) = 4.87817 = 0.52538X + 4.87817