Page 349 - Artificial Intellegence_v2.0_Class_11
P. 349
Ans.
Line of Best Fit Equation : y = - 4.7874x + 85.044
2. Use the regression equation calculated above to find the life expectancy for countries that have a fertility
rate of
i) 2.7 and
ii) 8.2.
Which life expectancy that you calculated do you think is closer to true-life expectancy? Why?
Ans. Country with fertility rate 2.7
y = - 4.7874(2.7) + 85.044 = 72.11
Country with fertility rate 8.2
y = - 4.7874(8.2) + 85.044 = 45.78
The country with fertility rate 2.7 is closer to true life cases. This can also be observed through the given data.
Few data points show life expectancy close to 72.11.
3. Next, find the correlation coefficient of the data given in Q1 and interpret the result.
Ans. Correlation Coefficient, r = -0.94
There is a strong negative correlation between the two variables. High X variable scores go with low Y variable
scores (and vice versa).
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