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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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