Question

The number of persons in households with children in high school was used to estimate the number of vehicles that the family had insured. The bivariate data recorded below are number of persons in the household (X) and number of insured vehicles (Y). Use this data to answer the rest of the questions in this assignment. Y 2 4 3 2 3 4 3 4

Answer 1

9)
Sum = Based on the above table, the following is calculated: =– 3.125 88xx = 3x - (3x) = 251 – 43 18 = 19.575

= 83 - 25/8 = 4.875 88v = - (3x) = 83 – 26/8 – 4.575 588v =Şx2 ++ (2x) (2x) – 140 – 43 x 25/8 = 5.625 Therefore, based on the above calculations, the regression coefficients (the slope m, and the y-intercept n) are obtained as follows: SSXY 5.625 m=SSxx SSxx 19.875 = 0.283 1 n=Y-X. m = 3.125 -5.375 x 0.283 = 1.6038 Therefore, we find that the regression equation is: Y = 1.6038 +0.283X

10) When X = 5,

Y = 1.6038 + 0.283 (5) = 3.0188

11) When X = 7

Y = 1.6038 + 0.283 (7) = 3.5848