e0IatION 1 900 B3I. How many more samples are required to find the compressive s

Question

e0IatION 1 900 B3I. How many more samples are required to find the compressive strength to within 50 psi at 99% confidence? (10+7+5 Points) A simple linear regression model based on 20 observations. T the SSE is 1.41. The standard error for the coefficient of X is 0.2. 4) he F-stat for the model is 21.44 and Complete the ANOVA table. Find the t-stat of the co-efficient of X. What is the p-value for the statistical significance of this variable? Find the co-efficient of x. a) b) c) (15 points) 5) Complete the ANOVA Table: Source of Variance of S Sum of Mean Sum of Squares F-statR2 Freedom Squares 5.2 0.51 Regression Residual Total 7.52 65

Explanation / Answer

a)

completing the given table:

b) t stat =(F)1/2 =(21.44)1/2 =4.630

p value for above test statistic and 18 df =0.0002

c)

co-efficient of X =t*std error =4.630*0.2=0.926

5)

source SS df MS F regression 1.68 1 1.679 21.4400 residual 1.41 18 0.08 total 3.09 19

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