=+of buying goods and services in a city compared to the average wage in that city. Can we reconstruct the overall Cost of Living Index from the four component indices? Here is some multiple regression output:

Dependent variable is: CPI R-squared = 97.34% R-squared (adjusted) = 97.30%

s = 4.562 with 322 - 5 = 317 degrees of freedom Variable Coeff SE(Coeff) t-ratio P-value Intercept 12.756575 0.771592 16.533 60.0001 Rent Index 0.024611 0.019650 1.252 0.2113 Groceries Index 0.526519 0.020862 25.238 60.0001 Restaurant Index 0.418352 0.015459 27.063 60.0001 Local Purchasing Power Index -0.017699 0.007901 -2.240 0.0258 Assuming that the assumptions and conditions for this model are satisfied,