This is linear regression cource. only parts f , g and h> Problem 5 escomprte(77

Question

This is linear regression cource.

only parts f , g and h>

Problem 5 escomprte(77-ca The following data relate to 4 under one year of age babies. Let y denotes their weight in kg, x1 denotes height and x2 the age of babies. y 12 10 xl x2 2 Using the above data, find a) Y vector, X matri(xtri vb) Estimate of ß vector and write the fitted regression line c) Estimate d) Construct the analysis of variance table and test for significance of regression e Calculate R, R and Rad Test the hypothesis (i) H, : B = ,-0; (ii) Ho : 1 = 0; (iii) Ho : A-A = 1 .5 Find 98% confidence interval for A Find the 95% confidence interval of the mean response (y) for x1 Adi f) -B) h) 7 and x24, 3 Good Luck!!!

Explanation / Answer

h.

1 - 2 = (M1 - M2) = 3, 95% CI [1.24, 4.76].

We can be 95% confident that the difference between the two means (1 - 2) lies between 1.24 and 4.76.

Calculation

Pooled Variance
s2p = (SS1 + SS2) / (df1 + df2) = 6.2 / 6 = 1.03

Standard Error
s(M1 - M2) = ((s2p/n1) + (s2p/n2)) = ((1.03/4) + (1.03/4)) = 0.72

Confidence Interval
1 - 2 = (M1 - M2) ± ts(M1 - M2) = 3 ± (2.45 * 0.72) = 3 ± 1.76

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