A chemical company wishes to study the effect of extraction time on the efficiency of an extraction operation. Here are the descriptive statistics that were generated in SAS based on the extraction time (in minutes) and the extraction efficiency (y): The SAS System The CORR Procedure 2 Variables: time efficiency Covariance Matrix, DF = 9 time efficiency time 138.8888889 106.1111111 efficiency 106.1111111 119.1666667 Simple StatisticsVariable N Mean Std Dev Sum Minimum Maximumtime 10 32.00000 11.78511 320.00000 15.00000 49.00000efficiency 10 63.50000 10.91635 635.00000 46.00000 80.00000a) Compute the sample correlation coefficient. b) Is there evidence of a significant correlation between extraction time and extraction efficiency? Run the appropriate test at \alpha = 0.05c) Compute the equation of the line that best describes the relationship between extraction time and extraction efficiency. [Note: Extraction efficiency is the dependent variable.]