As part of a research program for a new cholesterol drug, a pharmaceutical company would like to investigate the relationship between the ages and LDL (low-density lipoprotein) cholesterol of men. The accompanying data set shows the ages and LDL cholesterol levels of seven randomly selected men. Construct a 95% prediction interval to estimate the LDL cholesterol level of a 23-year-old man.
Age Cholesterol
23 145
36 177
26 155
32 199
41 158
31 144
42 205
Determine the upper and lower limits of the prediction interval.