Question

Dr. T wants to know what the correlation is between the number of Redskins wins in a season, and his happiness. Data are below for 7 years of data. Year #of Wins Happiness 10 2 13 3 4 5 8 6 7 7 7 9 7 Regression equation: Y = If the Redskins win 16 games next semester, what should we expect Dr. T's happiness level to be?

Answer 1

LⓇ cov (29) e Criyi - (T) (I) = 271 (6.85) (5.14) CovchiY) = 3.5052 6 conrelation coefficient (r) = COUCH1y) (6x2 (64) = 3.5052 (2.3767) (2.2380) correlation coefficient (r) = 0.6589 L aseg equation is The simple linear regression y=4*+bse where, ba Corchiy) and 6x² a = ý - ba = 0.6205 ie 16 = 0.6205 / : b = 3.5052 (2.3262) and a = 15.14) - (0.6205) (6.85) a = 0.8895 the regression equation 1. Then y = 0,8895+ (0.6205) 4. • If the Redskins win 16 games next semester, what should we expect or. I happiness level to be ? Here, x= 10 then predicted value of y is, Ys 0.8895 t (0.6205) (16) jely = 10.8125