The following table shows the total spent on research and development by industry in a country, in billions of dollars, for the period 2002-2012. Year t (vears since 2000) 2 34567 8 9 10 11 12 (years since 200o0) Spending ($ billion) 192 194 217 228 234 222 221 232 243 194 204 Find the logarithmic regression model of the form S(t) = A In(t) + C with coefficients A and C rounded to two decimal places. S(t) = | 2.888 In(t) + 192 Obtain a graph showing the data points and the regression curve. S(t) 25아 S(t) 25아 240 240 230 230 220 220 210 210 200 200 2 4 6 8 10 12 14 2 4 6 8 10 12 14

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector spa…