Let x be a random variable that represents blood glucose level after a 12-hour fast. Let y be a random variable representing blood glucose level 1 hour after drinking sugar water (after the 12-hour fast). Units are in mg/10 ml. A random sample of eight adults gave the following information. (x) 6.2 8.4 7.0 7.5 8.1 6.9 10.0 9.7
(y) 9.8 10.7 10.3 11.9 14.2 7.0 14.6 12.2
(a) Draw Scatter diagram for the data as shown in the table. Use appropriate scale for both the x-axis and the y-axis.
(b) Determine the equation of the least-squares line y=a+bxand graph it on the scatter diagram which you developed in part 1.
(c) If x=9, use the least-squares line to predict y
(d) How reliable do you think the predication is?