i need Part 10,11 and 12 Solution. 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).

Question

i need Part 10,11 and 12 Solution. 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 &#34;Buying Up the Canadian Economy&#34;?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).

Accepted Answer

Given:-
12.

Year
X (Year minus 1975)
Y (assets)

1975
0
30.2

1976
1
28.4

1977
2
28.3

1978…

in the residuals when plotted against x? Year x (year minus 1975) | y (percent assets) 1975 30.2 1976 1 28.4 1977 28.3 1978 26.7 1979 1980 26.8 25.3 1981 6 23.4 1982 7 22.6 1983 22.3 1984 22.2 1985 1986 10 21.4 11 21.5 1987 12 22.5