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X i AVG. HR (Y i ) 1 .370 41 2 .395 49 3 .319 40 4 .326 51 5 .362 39 6 .305 45

Xi AVG. HR (Yi)
1 .370 41
2 .395 49
3 .319 40
4 .326 51
5 .362 39
6 .305 45
7 .343 37
8 .347 45
9 .378 43
10 .331 47
SUMMARY OUTPUT Y = a + bx Y = 43.7333333333333 + (.333*-0.0121212121212125)
a = intercept Y = 44
Regression Statistics b = slope
Multiple R 0.008556598
R Square 7.32154E-05
Adjusted R Square -0.124917633
Standard Error 4.548948152
Observations 10
ANOVA
df SS MS F Significance F
Regression 1 0.012121212 0.01212121 0.000586 0.981283811
Residual 8 165.5434343 20.6929293
Total 9 165.5555556
Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0%
Intercept 43.73333333 3.107523184 14.0733731 6.31E-07 36.56737202 50.899295 36.56737202 50.89929464
Xi -0.012121212 0.500822709 -0.0242026 0.981284 -1.16702045 1.142778 -1.167020449 1.142778025

Baseball Averages (AVG) by the All-Star break can predict how many home runs (HR) a player will hit in a season. Given the data above n the the excel spreadsheet (Baseball), and the regression model used to predict the number of home runs of a player with an AVG of .333.

Based on the results above, is this prediction reliable? Why or why not?.

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