The scatterplot below shows the relationship between the percentage of married w

Question

The scatterplot below shows the relationship between the percentage of married women of child-bearing age using contraceptives (x) and the fertility rate (y, in births per woman) in selected countries from 2005. Suppose the linear regression model drawn has an equation: y^=0.08x +7.42. what is the slope of the regression line?_________ Explain what it means in the context of the situation What is the y intercept of the regression line ______ Explain what it means in the context of the situation. Spain had 51 percent of married women using contraceptives in 2005. What would the model predict as the average number of births per woman in Spain? (Give units and 2 decimal places) Spain actually had 2.1 births per woman on average in 2005. Find the residual. (Give units and 2 decimal places what does the residual imply in this situation? (circle one) Spanish women are having more births than expected due to a negative residual Spanish women are having less births than expected due to a negative residual Spanish women are having more births than expected due to a positive residual Spanish women are having less births than expected due to a positive residual

Explanation / Answer

Solution:-

c) Predicted average number of birth per women in spain is 3.34.

Y = - 0.08*X + 7.42

X = 51% of married women using contraceptives in 2005.

Y = average number of birth per women in spain.

Y = - 0.08 × 51 + 7.42

Y = 3.34

Predicted average number of birth per women in spain is 3.34

d) The residual is - 1.24

Residual = Observed value - Predicted value

Observed value = 2.1

Residual = 2.1 - 3.34

Residual = - 1.24

e) Sapnsish women are having less birts tahn expected due to a negative residual.

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