The years of experience and salary of 30 IT consultants are given in the table. Answer the following questions. YearsofExperier Salary (C$) 1.1 39343 1.3 46205 1.5 37731 2 43525 2.2 39891 2.9 56642 3 60150 3.2 54445 3.2 64445 3.7 57189 3.9 63218 4 55794 4 56957 4.1 57081 4.5 61111 4.9 67938 5.1 66029 5.3 83088 5.9 81363 6 93940 6.8 91738 7.1 98273 7.9 101302 8.2 113812 8.7 109431 9 105582 9.5 116969 9.6 112635 10.3 122391 10.5 121872 (a) Create a scatterplot to visualize the relatioship. Determine the regression equation. (b) Determine the correlation coefficient and interpret it. (c) Determine the coefficient of determination and interpret it. Correlation coefficient : r r = ( xy) - (x) () [n(x) (x)][n( y) ( y)] It measures the strength of the linear relationship between two variables. It has a value from -1 to +1 inclusive. Perfect negative correlation Strong Moderate Weak negative negative negative correlation correlation correlation -1.00 -0.50 Negative correlation No correlation Perfect positive correlation Weak Moderate Strong positive positive positive correlation correlation correlation 0 0.50 1.00 Positive correlation Coefficient of determination : r^2 2 Explained varaition Total variation It measures the precent of the variation in y (dependent varaible) that is explained by the variation in x (independent variable).