a. Use the data to find the regression equation for predicting memory scores from the percentage of people aged 60-64 who are retired. Do not convert the percentages scores to decimals. b. How much error, on the average, would there be between predicted values from the regression equation and the actual memory scores? c. Does the regression equation account for a significant portion of the variance in the memory scores? Use a = .05 to evaluate the F-ratio.

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a. Use the data to find the regression equation for predicting memory scores from the percentage
of people aged 60-64 who are retired. Do not convert the percentages scores to decimals.
b. How much error, on the average, would there be between predicted values from the regression
equation and the actual memory scores?
c. Does the regression equation account for a significant portion of the variance in the memory
scores? Use a = .05 to evaluate the F-ratio.
Transcribed Image Text:a. Use the data to find the regression equation for predicting memory scores from the percentage of people aged 60-64 who are retired. Do not convert the percentages scores to decimals. b. How much error, on the average, would there be between predicted values from the regression equation and the actual memory scores? c. Does the regression equation account for a significant portion of the variance in the memory scores? Use a = .05 to evaluate the F-ratio.
There appears to be some evidence suggesting that earlier retirement may lead to memory decline
(Rohwedder & Willis, 2010). The researchers gave a memory test to men and women aged 60 to 64
years in several countries that have different retirement ages. For each country, the researchers
recorded the average memory score and the percentage of individuals in the 60 to 64 age range who
were retired. Note that a higher percentage retired indicates a younger retirement age for that country.
The following data are similar to the results from the study. Use the data to find the regression equation
for predicting memory scores from the percentage of people aged 60 to 64 who are retired.
Country
% Retired (X) Memory Score (Y)
Sweden
39
9.3
U.S.A.
48
10.9
England
59
10.7
Germany
70
9.1
Spain
74
6.4
Netherlands
78
9.1
Italy
81
7.2
France
87
7.9
Belgium
88
8.5
Austria
91
9.0
Transcribed Image Text:There appears to be some evidence suggesting that earlier retirement may lead to memory decline (Rohwedder & Willis, 2010). The researchers gave a memory test to men and women aged 60 to 64 years in several countries that have different retirement ages. For each country, the researchers recorded the average memory score and the percentage of individuals in the 60 to 64 age range who were retired. Note that a higher percentage retired indicates a younger retirement age for that country. The following data are similar to the results from the study. Use the data to find the regression equation for predicting memory scores from the percentage of people aged 60 to 64 who are retired. Country % Retired (X) Memory Score (Y) Sweden 39 9.3 U.S.A. 48 10.9 England 59 10.7 Germany 70 9.1 Spain 74 6.4 Netherlands 78 9.1 Italy 81 7.2 France 87 7.9 Belgium 88 8.5 Austria 91 9.0
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