Compute the standard error of the estimate for the data in Table 1.

Approach Use the following steps to compute the standard error of the estimate.

Step 1 Find the least-squares regression line.

Step 2 Obtain predicted values for each observation in the data set.

Step 3 Compute the residuals for each observation in the data set.

Step 4 Compute \(\Sigma\) residuals \(^{2}\).

Step 5 Compute the standard error of the estimate using Formula (2).

Formula 2

Table 1 Age,. Total Cholesterol, y Age,x Total Cholesterol, y 25 180 42 183 25 195 48 204 28 186 51 221 32 180 51 243 32 210 58 208 32 197 62 228 38 239 65 269