(a) What is the value of the standard error of the estimate? The standard error for the estimate is used in tests for a significant relationship between two variables. It is calculated as follows, where MSE is the mean square error. Note that MSE is calculated using the sum of squares due to error and the number of observations. s = MSE = SSE n 2 where SSE = (yi i)2 Therefore, before the standard error can be found we must find the estimated regression equation for the given data, then calculate the predicted values of i to find the SSE. The data are given below. xi 4 5 12 17 22 yi 19 27 15 36 28 There are 5 observations in the data, so we have n = 5 . Find the estimated regression equation for these data using the least squares method. =