Consider a regression model in which the response variable Y, is linked to the explanatory variable X, by the following equation: Y;= a + bX;+ e;, i = 1, ., n assuming that the error terms e are...

Extracted text: Consider a regression model in which the response variable Y, is linked to the explanatory variable X, by the following equation: Y;= a + bX;+ e;, i = 1, ., n assuming that the error terms e are independent and Normally distributed with expectation 0 and variance o?. In a sample of size n = 10, the following statistics have been observed: x, = 141, = 127, i=1 > x = 2,014, v = 1,629, xy= 1,810. i=1 i=1 (i) Calculate values for Sy, Sy, and Sy. Write down, using your answers to part (i), the value of Pearson's correlation coefficient between the variables X, and Y,. (ii) (iii) Calculate estimates of the parameters a and b in the regression model.