Question

(CO 6) Find the regression equation for the following data setx 245 187 198 189 176 266 210 255y 50 54 55 78 44 41 51 60cannot be determinedŷ = 74.17x – 0.09ŷ = -0.09x + 74.17ŷ = 0.09x – 74.17

Answer 1

ŷ = -0.09x + 74.17

Step-by-step explanation

For the given data set:

x 245 187 198 189 176 266 210 255

y 50 54 55 78 44 41 51 60

The sum of x = 245 + 187 + 198 + 189 + 176 + 266 + 210 + 255 = 1726

The sum of y = 50 + 54 + 55 + 78 + 44 + 41 + 51 + 60 = 433

Mean x = 1726/8 = 215.75

Mean y = 433/8 = 54.125

Sum of squares (SSx) = 8391.5

Sum of products (SP) = -779.75

(Check the table below of the data for a better understanding).

The regression Equation is given by ŷ = bX + a

b = SP/SSx = -779.75/8391.5 = -0.09292

a = My - bMx = 54.13 - (-0.09 x 215.75) = 74.17279

Therefore, the regression equation for the data set is: ŷ = -0.09292x + 74.17279

The correct answer is ŷ = -0.09x + 74.17