1. Temperatures (in degrees Fahrenheit) and precipitation (in inches) are as follows: Avg. Daily temp. x 86 81 83 89 80 74 64 Avg. mo. Precip. y 3.4 1.8 3.5 3.6 3.7 1.5 0.2 => Given X = 557,Y=17.7,EXY = 1468.9,x2 = 44739,y2 = 55.99 Answer the following: a. Find the coefficient of Correlation and test its significance at a = 0.05? b. Find the regression equation and estimate the average monthly precipitation when the temperature is 82? c. Draw the regression line. d. Find the 95% prediction interval when the average temperature is 82? 2. A survey at a ballpark shows the following selection of pennants sold to fans. The data are presented here. At a = 0.10, is the color of the pennant purchased independent of the gender of the individual? Blue Yellow Red Men 519 659 876 Women 487 702 787