Homework 11-11

# Homework 11-11 - 1) a) What percent of the variation in the...

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1) a) What percent of the variation in the sweetness index is due to the differing concentrations? SweetIndex Pectin 22.9% is the variation (taken from r mean 256.96 SSxx 56452.96 SUMMARY OUTPUT b) With 95% confidence, what is the expected sw Regression Statistics index for an orange juice with a pectin concen Multiple R 0.4781 275 ppm? R Square 0.2286 b) x 275 Adjusted R Square 0.1936 Yhat 5.62 Standard Error 0.2150 t 2.07 Observations 24 Smu 0.05 +/- 0.1 ANOVA c.i.: df SS MS F 5.52 5.71 Regression 1 0.3 0.3 6.52 Residual 22 1.02 0.05 Between 5.52 and 5.71. Total 23 1.32 Coefficients Standard Error t Stat P-value Intercept 6.25 0.24 26.42 0 Pectin 0 0 -2.55 0.02 With 90% confidence, what is the sweetness index of Sunny Q? x 325 Yhat 5.5 t 1.72 S Yhat 0.23 +/- 0.39 pred. int. 5.11 5.89 Between 5.11 and 5.89. H0: mu >= 5.5 H1: mu < 5.5 c) Sunny Q is an orange juice with a pectin concentration of 325 ppm. d) Suppose a certain brand of orange juice has a pectin level of 350 ppm. Is there eviden that the expected sweetness index for this brand is less than 5.5? Use a 5% significance

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x 350 Y hat 5.44 Data disagree with H0, so continue. Smu 0.09 T -0.6 p 0.28 > 0.05 Cannot reject H0. No, there is no evidence that the expected index is that small. 2) READING POVERTY mean 58.76 SSx 12710.55 Regression Statistics Multiple R 0.8939 R Square 0.7991 Adjusted R Square 0.7890 Standard Error 3.4232 Observations 22 ANOVA df SS MS F Regression 1 932.18 932.18 79.55 Residual 20 234.36 11.72 Total 21 1166.54 Coefficients Standard Error t Stat P-value Intercept 187.01 1.93 97.02 0 score? With 99% confidence, what is the expected average reading score in this district?
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## This note was uploaded on 08/07/2011 for the course MRKT 630:301 taught by Professor Bhatia during the Fall '10 term at Rutgers.

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Homework 11-11 - 1) a) What percent of the variation in the...

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