There appears to be some evidence suggesting that earlier retirement may lead to memory decline (Rohwedder & Willis. 2010). The researchers gave a memory lest 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 
The regression equation of the data is
Given info: the given data are shown below,
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 
Calculation:
Generally, the linear regression equation is defined as
Formula to calculate
Formula to calculate the
Mean of the variable
Thus the mean of the variable
Mean of the variable
Thus the mean of the variable y is 8.81.
For calculating
Sr.no 







1  39  9.3  32.5  0.49  1056.25  0.2401  15.925 
2  48  10.9  23.5  2.09  552.25  4.3681  49.115 
3  59  10.7  12.5  1.89  156.25  3.5721  23.625 
4  70  9.1  1.5  0.29  2.25  0.0841  0.435 
5  74  6.4  2.5  2.41  6.25  5.8081  6.025 
6  78  9.1  6.5  0.29  42.25  0.0841  1.885 
7  81  7.2  9.5  1.61  90.25  2.5921  15.295 
8  87  7.9  15.5  0.91  240.25  0.8281  14.105 
9  88  8.5  16.5  0.31  272.25  0.0961  5.115 
10  91  9  19.5  0.19  380.25  0.0361  3.705 
Total  0  0  2798.5  17.709  124.05 
Where,
Substitute
Substitute
The, the regression equation is
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