Unit 4 - Activity 3 - Linear Regression Worksheet Recall: . Linear regression is the technique for finding the equation with the form y = ax + b that best figures the relationship between the x (independent) and y variables (dependent).+ . Correlation Coefficient is the measure of correlation between two variables, it determines how well a regression line fits a set of data. The linear regression, in the form y = ax + b can be calculated with the following equations + also referred to as "least square formula"): a = - n(Exy)-(x)(Ey) n(E x3)-(x)2 b = y - ax+ Example 1 This table shows data for the full-time employees of a small company.~ Age (years)+ 336 Annual Income (in thousands of dollars)+ 25+ 31+ tttt 19+ 180 14 520 50+ 560 t 60+ 38 t 35J a) Use a scatter plot to classify the correlation between age and income." b) Find the equation of the line of best fit analytically.+ Age, 2 Income, wa 33- 33+ 25+ 31+ 193 186 52- tutttuttt LLLLLLLL 60+ L LLLL 44 294 35+c) Predict the income for a new employee who is 21 and an employee retiring at age 65.+