a) Clearly state the regression equation b) Find the residual value for the firs
ID: 3357873 • Letter: A
Question
a) Clearly state the regression equation b) Find the residual value for the first observation in the data table c) Test for significance of regression d) Identify the two regressors that contribute most to the model. e) Calculate a confidence interval for variance. f) Calculate a confidence interval for the regression coefficient for CO2 temperature g) Use a t test to assess the contribution of peanut moisture, given that CO2 pressure, CO2 temperature, peanut particle size are already in the model. h) Use a partial F test to do the proceeding part i) Use a partial F test to assess the contribution of CO2 pressure and peanut moisture, given that CO2 temperature and peanut particle size are already in the model j) Find MSRes, R^2, R^2 Adjusted for this model k) Find the least squares standardized regression coefficients by the unit normal scaling technique Yea 63 21 36 99 24 66 71 54 23 74 80 33 63 21 44 96 28 58558-al 28 58855 4 4 1 4 1 1 4 4 1 1 4 1 4 4 t) 0000000000000000- tn u eg a_ue P-is ly 5 5 5 5 5 5 5 5 5 5 5 5 5 5 95 95-c 55 ti 299 mus re two-$15 $50 $15 $50 $15 990 45 $50 45 $50 45 $50 $15 $50 $15 $50 "An 6 050505050 T Pr (b 4 5 4 5 4 5 4 5 4 5 4 5 4 5 4 5 0 pExplanation / Answer
Using Minitab by the following path
Stat-> Regression-> regression
we obtain :
The regression equation is
Yield = 52.1 + 0.0556 Pressure + 0.282 Temp + 0.125 Moisture - 0.000 Flow Rate
- 16.1 Particle Size
b)
residual value of first observation=0.75
(Obtained By In stat->regression->regression click on storage and then click on residuals, the first observation in the Resi column will show the residual value)
c)
The Test gives the result,
Analysis of Variance
Source DF SS MS F P
Regression 5 9712.5 1942.5 29.86 0.000
Residual Error 10 650.5 65.0
Total 15 10363.0
As p value is less than 0.05 hence at 5% level of significance in the light of the given data we reject the null hypothesis and conclude that the regression is significant
d)
Predictor Coef SE Coef T P
Constant 52.08 18.89 2.76 0.020
Pressure 0.05556 0.02987 1.86 0.093
Temp 0.28214 0.05761 4.90 0.001
Moisture 0.1250 0.4033 0.31 0.763
Flow Rate -0.0000 0.2016 -0.00 1.000
Particle Size -16.065 1.456 -11.03 0.000
here from the p values we can see that temparature and particle size mostly effect the model/
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