Question

The accompanying data are from a football league for one season. a. Construct a scatter diagram for points/game and yards/gamTo explain the statistical significance of the model, first state the appropriate null and alternative hypotheses. Ho H (TypeDetermine the coefficient of determination, R2, and interpret its meaning. Select the correct choice below and fill in the an

Points/Game Yards/Game 23.7 351.7 16.1 296.1 17.6 300.1 14.2 285.6 15.3 284.7 22.8 289.5 22.1 350.1 24.5 346.4 29.8 365.4 18.

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Answer #1

S.No х Y 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 Total 351.7 296.1 300.1 285.6

OC. 40 Q Q Points/Game 20- 2 07 250 350 450 Yards/Game

the scatter plot shows a positive and linear trend . so there appears to be a,,,,,,,,,

b)

points/game = -19.537+0.126*yards/game

null hypothesis: Ho:           β1= 0
Alternate Hypothesis: Ha: β1≠ 0
correlation r='Sxy/(√Sxx*Syy) = 0.854
test stat t= r*(√(n-2)/(1-r2))= 8.98
P value    = 0.0000 (from excel:tdist(8.9818,30,2)

reject Ho , there is sufficient evidence of a linear relationship,,,

option C: Coefficient of determination R2=SSR/SST=0.729 , proportion of variation in points/game...
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