i want Solution Part 7, 8, and 9 12.Plot the residuals from the fitted quadratic model. Does there seem to be any apparent patternin the residuals when plotted against x?Year x (year minus 1975) y (percent assets)197530.21976128.41977228.31978326.7197926.8198025.31981623.4198222.6198322.319849.22.219851021.419861121.5198719881222.51323.319891423.619901523.719911623.619921723.919931823.819941923.619952025.119962125.419972225.919982326.919992425.320002525.520012628.820022728.720032828.720042928.5 Exercise 3. Are Foreign Companies "Buying Up the Canadian Economy"?for sale! We're losing our sovereignty! Dire statements such as these frequently appear in the media when newsbreaks about a well-known Canadian company being purchased by a foreign competitor, with the implication thatthere will soon be no Canadian-owned companies left. In the following case study, we explore the relationshipbetween the percentage of foreign ownership and year, using a simple linear regression analysis. One responsehas been for the Canadian government to try to regulate takeovers, making it more difficult for foreign companiesto directly invest in Canada. At other times, the government has sought to encourage foreign investment bychanging or rescinding regulations. For example, the Foreign Investment Review Agency was created in 1975 tomonitor and regulate foreign takeovers in Canada. In 1985, after a change of government, the Foreign Investment.Review Agency was replaced with a new agency, Investment Canada, whose mandate was intended to be lessrestrictive. Have these changes had any effect? The data in the table represent the percentage of commercialassets in non-financial corporations under foreign control y for the years 1975 to 2004. To simplify the analysis,we have coded the year using the coded variable r = year – 1975.Canada's1.Using a scatterplot with Minitab, plot the data for the years 1975-1985. Does there appear to bea linear relationship between the percentage of foreign ownership and the year?2.Use Minitab to find the least-squares line for predicting the percentage of foreign ownership as afunction of year for the years 1975-1985.3.Is there a significant linear relationship between the percentage of foreign ownership and year atthe level of significance of 5%? (Use the Minitab output from the previous question).4.Use Minitab to predict the percentage of foreign ownership with 95% prediction intervals for theyears 2002, 2003, and 2004.5.Now look at the actual data points for those years. Do the predictions obtained in step 4 provideaccurate estimates of the actual values observed in these years? Explain.6.Using Minitab, construct the plot of residuals against the z values and then against the predictedy values. What can you conclude about the validity of the constant variance assumption?7.Using Minitab, plot the histogram of the residuals e; and the normal probability plot of residuals.What can you conclude about the normality assumption?8.Add the data for 1986-2004 to your database, and recaleulate the regression line using againMinitab. What effect have the new data points had on the slope? What is the effect on SSE?9.Plot using Minitab the scatterplot of residuals against r, does it appear that a straight line providesan accurate model for the data? What model do the residuals indicate would produce a better fit?10.Plot using Minitab the data with a quadratic model fitted to them. Sketch what you consider tobe the best-fitting linear or quadratic models?11.What is the increase in R when you fit a quadratic rather than a linear model? Is the coefficientof the quadratic term significant? Is the fitted quadratic model significantly better than the fitted linearmodel? (Use a = 0.05).

7) Using Minitab, Enter the data. Go to Stat > Regression > Fit Regression then new window is…

Plot the residuals from the fitted quadratic model. Does there seem to be any apparent pattern in the residuals when plotted against x? Year x (year minus 1975)y (percent assets) 1975 30.2 1976 1 28.4 1977 2 28.3 1978 3 26.7 1979 26.8 1980 25.3 1981 6 23.4 1982 7 22.6 1983 8 22.3 1984 9 22.2 1985 10 21.4 1986 11 21.5 1987 12 22.5 1988 13 23.3 1989 14 23.6 1990 15 23.7 1991 16 23.6 1992 17 23.9 1993 18 23.8 1994 19 23.6 1995 20 25.1 1996 21 25.4 1997 22 25.9 1998 23 26.9 1999 24 25.3 2000 25 25.5 2001 26 28.8 2002 27 28.7 2003 28 28.7 2004 29 28.5

Plot the residuals from the fitted quadratic model. Does there seem to be any apparent pattern in the residuals when plotted against x? Year x (year minus 1975)y (percent assets) 1975 30.2 1976 1 28.4 1977 2 28.3 1978 3 26.7 1979 26.8 1980 25.3 1981 6 23.4 1982 7 22.6 1983 8 22.3 1984 9 22.2 1985 10 21.4 1986 11 21.5 1987 12 22.5 1988 13 23.3 1989 14 23.6 1990 15 23.7 1991 16 23.6 1992 17 23.9 1993 18 23.8 1994 19 23.6 1995 20 25.1 1996 21 25.4 1997 22 25.9 1998 23 26.9 1999 24 25.3 2000 25 25.5 2001 26 28.8 2002 27 28.7 2003 28 28.7 2004 29 28.5

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

Question

i want Solution Part 7, 8, and 9

12.
Plot the residuals from the fitted quadratic model. Does there seem to be any apparent pattern
in the residuals when plotted against x?
Year x (year minus 1975) y (percent assets)
1975
30.2
1976
1
28.4
1977
2
28.3
1978
3
26.7
1979
26.8
1980
25.3
1981
6
23.4
1982
22.6
1983
22.3
1984
9.
22.2
1985
10
21.4
1986
11
21.5
1987
1988
12
22.5
13
23.3
1989
14
23.6
1990
15
23.7
1991
16
23.6
1992
17
23.9
1993
18
23.8
1994
19
23.6
1995
20
25.1
1996
21
25.4
1997
22
25.9
1998
23
26.9
1999
24
25.3
2000
25
25.5
2001
26
28.8
2002
27
28.7
2003
28
28.7
2004
29
28.5

Exercise 3. Are Foreign Companies "Buying Up the Canadian Economy"?
for sale! We're losing our sovereignty! Dire statements such as these frequently appear in the media when news
breaks about a well-known Canadian company being purchased by a foreign competitor, with the implication that
there will soon be no Canadian-owned companies left. In the following case study, we explore the relationship
between the percentage of foreign ownership and year, using a simple linear regression analysis. One response
has been for the Canadian government to try to regulate takeovers, making it more difficult for foreign companies
to directly invest in Canada. At other times, the government has sought to encourage foreign investment by
changing or rescinding regulations. For example, the Foreign Investment Review Agency was created in 1975 to
monitor and regulate foreign takeovers in Canada. In 1985, after a change of government, the Foreign Investment.
Review Agency was replaced with a new agency, Investment Canada, whose mandate was intended to be less
restrictive. Have these changes had any effect? The data in the table represent the percentage of commercial
assets in non-financial corporations under foreign control y for the years 1975 to 2004. To simplify the analysis,
we have coded the year using the coded variable r = year – 1975.
Canada's
1.
Using a scatterplot with Minitab, plot the data for the years 1975-1985. Does there appear to be
a linear relationship between the percentage of foreign ownership and the year?
2.
Use Minitab to find the least-squares line for predicting the percentage of foreign ownership as a
function of year for the years 1975-1985.
3.
Is there a significant linear relationship between the percentage of foreign ownership and year at
the level of significance of 5%? (Use the Minitab output from the previous question).
4.
Use Minitab to predict the percentage of foreign ownership with 95% prediction intervals for the
years 2002, 2003, and 2004.
5.
Now look at the actual data points for those years. Do the predictions obtained in step 4 provide
accurate estimates of the actual values observed in these years? Explain.
6.
Using Minitab, construct the plot of residuals against the z values and then against the predicted
y values. What can you conclude about the validity of the constant variance assumption?
7.
Using Minitab, plot the histogram of the residuals e; and the normal probability plot of residuals.
What can you conclude about the normality assumption?
8.
Add the data for 1986-2004 to your database, and recaleulate the regression line using again
Minitab. What effect have the new data points had on the slope? What is the effect on SSE?
9.
Plot using Minitab the scatterplot of residuals against r, does it appear that a straight line provides
an accurate model for the data? What model do the residuals indicate would produce a better fit?
10.
Plot using Minitab the data with a quadratic model fitted to them. Sketch what you consider to
be the best-fitting linear or quadratic models?
11.
What is the increase in R when you fit a quadratic rather than a linear model? Is the coefficient
of the quadratic term significant? Is the fitted quadratic model significantly better than the fitted linear
model? (Use a = 0.05).

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