Use the following JMP output to answer the questions. Summary of Fit RSquare 0.0
ID: 2907952 • Letter: U
Question
Use the following JMP output to answer the questions. Summary of Fit RSquare 0.016234 RSquare Adj 0.00 Root Mean Square Error 3.002975 Mean of Response 5 Observations(or Sum Wgts) 14 Analysis of Variance Source DF Sum of Squares Mean Square FRatio Model 1 Error 12 C. Total 13 1.78571 108.21429 110.00000 1.78571 9.01786 0.1980 Prob > F 0.6642 Parameter Estimates Term Intercept Estimate .7142857 0.178571 Std Error 1.794621 0.401289 t Ratio Prob>Itl 3.18 0.0079 0.44 0.6642 (a) Write out the regression equation. (b) Determine the value of the correlation coefficient. (c) Interpret the coefficient of determination. (d) Is model factor X has a significant impact on the response variable? Which output statistics help you draw this conclusion?Explanation / Answer
Ans:
a)Regression equation:
y'=5.7143-0.1786x
b)Correlation cofficient,r=sqrt(R^2)=sqrt(0.016234)=0.1274
c)Cofficient of determination,R^2=0.016234 or 1.6234%
Which indicates that 1.6234% of the linear variation in dependent variable(y) is explained by the independent variable(x) through above regression model.
d)We can use t ratio for factor X to determine the significance of X.
Test statistic:
t=b1/sb1
t=-0.178571/0.401289
t=-0.445
df=12
p-value=tdist(0.445,12,2)=0.6642
As,p-value>0.05,we fail to reject the null hypothesis and we can conclude that factor X has not significant impact on response variabe.
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