MUST SHOW WORK WITH FORMULAS

"To test if people are discriminated based on their height, the researchers collect data for Ontario nurses. The data below show the monthly salary and height for the nurses, [total 14 points] Monthly Height [in Salary cm] thousands] 70.434 164 85.039 169 69.100 162 85.500 170 68.300 167 69.444 160 87.030 172 Compute Pearson correlation coefficient and test the hypotheses about the relationship between height and salary and clearly state your findings (6 points). Find the coefficient of determination and clearly state the meaning referring to the provided research scenario (2 points) Find the regression equation for predicting Salary from Height (2 points). Clearly state the meaning of the slope (2 points) and the intercept (2 points) referring to the provided research scenario