Sheet 5 a. Construct two (two) scatter diagram for: i. GDP (Independent variable) and unemployment (dependent variable) ii. Unemployment (independent variable) and Inflation (dependent variable) b. Showing all workings, find the regression lines for: GDP and unemployment unemployment and inflation i. ii. c. Plot the two regression lines, inclusive of regression equation and coefficient of determination (R²2), on the scatter diagrams of part a.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter3: Straight Lines And Linear Functions
Section3.CR: Chapter Review Exercises
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Sheet 5
a. Construct two (two) scatter diagram for:
i.
ii.
GDP (Independent variable) and unemployment (dependent variable)
Unemployment (independent variable) and Inflation (dependent variable)
b. Showing all workings, find the regression lines for:
GDP and unemployment
unemployment and inflation
i.
ii.
c. Plot the two regression lines, inclusive of regression equation and coefficient of determination (R²),
on the scatter diagrams of part a.
d. Present major regression summary outputs for both regression lines showing: regression statistics,
coefficients, standard error, t stats, p-values and 95% confidence interval.
Transcribed Image Text:Sheet 5 a. Construct two (two) scatter diagram for: i. ii. GDP (Independent variable) and unemployment (dependent variable) Unemployment (independent variable) and Inflation (dependent variable) b. Showing all workings, find the regression lines for: GDP and unemployment unemployment and inflation i. ii. c. Plot the two regression lines, inclusive of regression equation and coefficient of determination (R²), on the scatter diagrams of part a. d. Present major regression summary outputs for both regression lines showing: regression statistics, coefficients, standard error, t stats, p-values and 95% confidence interval.
date
31/12/1980
31/12/1981
31/12/1982
31/12/1983
31/12/1984
31/12/1985
31/12/1986
31/12/1987
31/12/1988
31/12/1989
31/12/1990
31/12/1991
31/12/1992
31/12/1993
31/12/1994
31/12/1995
31/12/1996
31/12/1997
31/12/1998
31/12/1999
31/12/2000
31/12/2001
31/12/2002
31/12/2003
31/12/2004
31/12/2005
31/12/2006
31/12/2007
31/12/2008
31/12/2009
31/12/2010
31/12/2011
31/12/2012
31/12/2013
31/12/2014
31/12/2015
31/12/2016
31/12/2017
31/12/2018
31/12/2019
31/12/2020
GDP
GDP (Billions of US)
($)
6.24
6.99
8.14
7.76
7.76
7.38
4.79
4.80
4.50
4.32
5.07
5.31
5.44
4.67
4.95
5.33
5.76
5.74
6.04
6.81
8.15
8.82
9.01
11.31
13.28
15.98
18.37
21.64
27.87
19.17
22.16
25.43
25.76
27.27
27.62
24.96
22.39
22.39
23.68
23.21
21.53
Prices
Inflation Rate
(%)
17.47
14.33
11.63
15.18
13.33
7.62
7.69
10.75
7.76
11.43
11.06
3.78
6.44
10.84
8.81
5.18
3.40
3.63
5.61
3.44
3.56
5.54
4.15
3.81
3.72
6.87
8.33
7.89
12.03
6.98
10.55
5.11
9.26
5.20
5.68
4.66
3.07
1.88
1.02
1.00
0.60
Labour
Unemployment rate
(%)
9.9
10.4
9.9
11.1
13.4
15.6
17.2
22.2
22
22
20
18.5
19.6
19.8
18.4
17.2
16.2
15
14.2
13.1
12.1
10.8
10.4
10.5
8.3
8
6.2
5.5
4.6
5.3
5.9
4.9
5
3.7
3.3
3.4
4
4.8
4.1
3.50
6.70
Transcribed Image Text:date 31/12/1980 31/12/1981 31/12/1982 31/12/1983 31/12/1984 31/12/1985 31/12/1986 31/12/1987 31/12/1988 31/12/1989 31/12/1990 31/12/1991 31/12/1992 31/12/1993 31/12/1994 31/12/1995 31/12/1996 31/12/1997 31/12/1998 31/12/1999 31/12/2000 31/12/2001 31/12/2002 31/12/2003 31/12/2004 31/12/2005 31/12/2006 31/12/2007 31/12/2008 31/12/2009 31/12/2010 31/12/2011 31/12/2012 31/12/2013 31/12/2014 31/12/2015 31/12/2016 31/12/2017 31/12/2018 31/12/2019 31/12/2020 GDP GDP (Billions of US) ($) 6.24 6.99 8.14 7.76 7.76 7.38 4.79 4.80 4.50 4.32 5.07 5.31 5.44 4.67 4.95 5.33 5.76 5.74 6.04 6.81 8.15 8.82 9.01 11.31 13.28 15.98 18.37 21.64 27.87 19.17 22.16 25.43 25.76 27.27 27.62 24.96 22.39 22.39 23.68 23.21 21.53 Prices Inflation Rate (%) 17.47 14.33 11.63 15.18 13.33 7.62 7.69 10.75 7.76 11.43 11.06 3.78 6.44 10.84 8.81 5.18 3.40 3.63 5.61 3.44 3.56 5.54 4.15 3.81 3.72 6.87 8.33 7.89 12.03 6.98 10.55 5.11 9.26 5.20 5.68 4.66 3.07 1.88 1.02 1.00 0.60 Labour Unemployment rate (%) 9.9 10.4 9.9 11.1 13.4 15.6 17.2 22.2 22 22 20 18.5 19.6 19.8 18.4 17.2 16.2 15 14.2 13.1 12.1 10.8 10.4 10.5 8.3 8 6.2 5.5 4.6 5.3 5.9 4.9 5 3.7 3.3 3.4 4 4.8 4.1 3.50 6.70
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d. Present major regression summary outputs for both regression lines showing: regression statistics,
coefficients, standard error, t stats, p-values and 95% confidence interval.
Transcribed Image Text:d. Present major regression summary outputs for both regression lines showing: regression statistics, coefficients, standard error, t stats, p-values and 95% confidence interval.
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