Refer to the American Journal of Physics (Apr. 2014) study of the moon's orbit, Exercise 11.23 (p. 598). Recall that the angular size (y) of the moon was modeled as a straight-line function of height above horizon (x). A MINITAB printout showing both a 95% prediction interval for y and a 95% confidence interval for E(y) when x = 50 degrees is displayed below.
a. Give a practical interpretation of the 95% prediction interval.
b. Give a practical interpretation of the 95% confidence interval.
c. A researcher wants to predict the angular size of the moon when the height above the horizon is 80 degrees. Do you recommend that the researcher use the least squares line shown in the printout to make the prediction? Explain.

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The regression equation is ANGLE - 321 + 0.0834 HEIGHT Predictor Coef SE Coef т Constant HEIGHT 320.636 0.435 737.32 0.000 0.083379 0.008868 9.40 0.000 S - 0.569262 R-Sq - 88.94 R-Sq (adj) - 87.94 Analysis of Variance Source DF MS 1 28.648 28.648 88.40 0.000 3.565 0.324 Regression Residual Error 11 Total 12 32.212 Predicted Values for New Observations Fit SE Fit 1 324.805 0.162 (324.448, 325.163) (323.502, 326.108) 95% CI New Obs 954 PI Values of Predictors for New Observations New Obs HEIGHT 1 50.0