The Organisation for Economic Co-operation and Development collects data on Main Economic Indicators (MEIs) for many countries. Each variable is recorded as an index with the year 2000 serving as a base year. This means that the variable for each year is reported as a ratio of the value for the year divided by the value for 2000. Use of indices in this way makes it easier to compare values for different countries. The following table gives the values of three MEIs for 10 countries: Country ID Dwelling permits Sales Production
1 116 135 107
2 127 101 112
3 226 121 103
4 176 130 160
5 124 127 113
6 100 140 123
7 148 119 104
8 55 96 116
9 114 133 100
10 109 141 156

Requried:
a. What is the predicted value of production for a country that has an index of 160 for dwelling permits?
b. The country with ID = 15 has an index of 160 for dwelling permits. Find the residual for this country.