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%]

Monthly Salary

Height [in cm]

70434

164

85039

169

69100

162

85500

170

68300

69444

87030

167

160

172

Compute Pearson correlation coefficient and test the hypotheses about the relationship between height and salary and clearly state your findings (6%). Find the coefficient of determination and clearly state the meaning referring to the provided research scenario (2%)

Find the regression equation for predicting Salary from Height (2%). Test the hypotheses. Clearly state the meaning of the slope (2%) and the intercept (2%) referring to the provided research scenario.