Refer to Exercise 12.7. Portions of theMINITAB printout are shown here.MINITAB output for Exercise 12.40Regression Analysis: y versus xThe regression equation isy = 6.00 - 0.557 xPredictor Coef SE Coef T PConstant 6.0000 0.1759 34.10 0.000x -0.55714 0.04518 -12.33 0.000Predicted Values for New ObservationsNew Obs Fit SE Fit 95.0% CI 95.0% PI1 4.8857 0.1027 (4.6006, 5.1708) (4.2886, 5.4829)2 1.5429 0.2174 (0.9392, 2.1466) (0.7430, 2.3427) XX denotes a point that is an outlier in the predictors.Values of Predictors for New ObservationsNew Obs x1 2.002 8.00 a. Find a 95% confidence interval for the averagevalue of y when x 2.b. Find a 95% prediction interval for some value of yto be observed in the future when x 2.c. The last line in the third section of the printoutindicates a problem with one of the fitted values.What value of x corresponds to the fitted valuey 1.5429? What problem has the MINITAB programdetected?

Chapter 5 --- Randomness and Probability Spin a penny example in class: What is the probability of a headWhy Why is it calledan empirical probability Are spins independent If the first 10 spins are heads is the 11 spin more likely or less likely to be a head What does the “Law of Averages” say How does the Law of LargeNumbersapply to spinning pennies Random Predictability...