In the study of linear regression analysis, distinguish between the following expressions: (a) regressand and regressor (b) predicand and predictor (c) simple and multiple regression models

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1. In the study of linear regression analysis, distinguish between the following expressions:
(a) regressand and regressor
(b) predicand and predictor
(c) simple and multiple regression models
2. Consider the following table:
X
3
2
2
3
6
6
3
7
4
3
8
6

Y
25
15
9
28
65
60
30
80
35
32
85
70


(a) Fit the regression model
(b) Determine the coefficient of determination and interpret it.
(c) Test the hypothesis : versus at 5% level of significance.
(d) Find the 90 % confidence interval of the expected mean prediction for x = 6.

CAT 2
1. Use the table below:

X1
15
20
25
30
35
40
45
48
50
60

X2
100
110
115
120
140
142
144
146
150
160

Y
1
2
3
2
3
3
4
5
5
6


(i) Fit a regression equation to the multiple regression model
by least squares method.
(ii) Predict Y when X1=3.5 and X2=5.5
(iii) Compute TSS, ESS and RSS.
(iv) Test for the significance of overall regression at 5% level of significance.

2. (a) The following is a two-parameter gamma density function:
where .
Determine expressions in terms of and for (i) E[X] (ii) Var(X)
(b) Research conducted on the cleanliness of home environments and children yielded the
following data in the table below :

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