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

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter1: Equations And Graphs
Section: Chapter Questions
Problem 10T: Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s...
icon
Related questions
icon
Concept explainers
Question
100%

calculations on the following question

BMS 2323 & 2326: BUSINESS STATISCS II
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
Y
|25 15
9
28
65
60
30
80
35
32
85
70
(a) Fit the regression model
Y, = B, + B, X , + u,
(b) Determine the coefficient of determination and interpret it.
(c) Test the hypothesis : H: B =0 versus H, : B, +0 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
1
3
3
3
4
5
6
(i) Fit a regression equation to the multiple regression model
Y = B, + B, × ,
+ B, X i2
+u,
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.
Transcribed Image Text:BMS 2323 & 2326: BUSINESS STATISCS II 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 Y |25 15 9 28 65 60 30 80 35 32 85 70 (a) Fit the regression model Y, = B, + B, X , + u, (b) Determine the coefficient of determination and interpret it. (c) Test the hypothesis : H: B =0 versus H, : B, +0 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 1 3 3 3 4 5 6 (i) Fit a regression equation to the multiple regression model Y = B, + B, × , + B, X i2 +u, 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.
(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:
f(х;а, В) —
T(a)
where
a >0, B >0, x20.
Determine expressions in terms of a and B 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 :
Condition of home
Clean
Dirty
Condition of child
Clean
72
48
Fairly clean
78
22
Dirty
35
45
(i) Calculate expected frequencies for the various cells.
(ii) Test the hypothesis that there is a gap between the two conditions of cleanliness at 5%
level
of significance.
END
Transcribed Image Text:(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: f(х;а, В) — T(a) where a >0, B >0, x20. Determine expressions in terms of a and B 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 : Condition of home Clean Dirty Condition of child Clean 72 48 Fairly clean 78 22 Dirty 35 45 (i) Calculate expected frequencies for the various cells. (ii) Test the hypothesis that there is a gap between the two conditions of cleanliness at 5% level of significance. END
Expert Solution
steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Knowledge Booster
Points, Lines and Planes
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning