Expand y ^ 13 interms of y ^ 12 , y ^ 11 , y ^ 10 , y ^ 9 , y ^ 8 .

Question

The Organization for Economic Cooperation and Development (OECD) consists of 20 industrialized countries. For these nations, the prediction equation relating y = child poverty rate (in percentage points) to x = social expenditure as a percentage of gross domestic product (GDP) is = 22-1.3x. In 2000, the actual child poverty rate ranged from 2.8% (in Finland) to 21.9% (in the U.S.). Social expenditure as a percentage of GDP ranged from 2% (in the United States) to 16% (in Denmark). Using the linear prediction equation and plugging in the actual x-values (social expenditure rates) provided above, find the predicted child poverty rates for the United States and for Denmark. The x-values for both of these countries are provided above in the description of the study. (Note: You do not need to convert the percentages into proportions before or after plugging them into the equation.) The predicted child poverty rate for the U.S.: The predicted child poverty rate for Denmark:

Answer 1

Question

Chapter 5, Problem 9P

(a)

To determine

Expand y^13 interms of y^12,y^11,y^10,y^9,y^8.

(b)

To determine

Explain how exponential smoothing weights past data values in arriving at new forecasts.

Compare the weighting pattern with the moving averages method.

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The Organization for Economic Cooperation and Development (OECD) consists of 20 industrialized countries. For these nations, the prediction equation relating y = child poverty rate (in percentage points) to x = social expenditure as a percentage of gross domestic product (GDP) is = 22-1.3x. In 2000, the actual child poverty rate ranged from 2.8% (in Finland) to 21.9% (in the U.S.). Social expenditure as a percentage of GDP ranged from 2% (in the United States) to 16% (in Denmark). Using the linear prediction equation and plugging in the actual x-values (social expenditure rates) provided above, find the predicted child poverty rates for the United States and for Denmark. The x-values for both of these countries are provided above in the description of the study. (Note: You do not need to convert the percentages into proportions before or after plugging them into the equation.) The predicted child poverty rate for the U.S.: The predicted child poverty rate for Denmark:

The Organization for Economic Cooperation and Development (OECD) consists of 20 industrialized countries. For these nations, the prediction equation relating y = child poverty rate (in percentage points) to x = social expenditure as a percentage of gross domestic product (GDP) is = 22-1.3x. In 2000, the actual child poverty rate ranged from 2.8% (in Finland) to 21.9% (in the U.S.). Social expenditure as a percentage of GDP ranged from 2% (in the United States) to 16% (in Denmark). What is the value of the y-intercept (a) estimated in the linear prediction equation provided above (= 22-1.3x)? Also, interpret the y-intercept. y-intercept: Interpretation of y-intercept:

The Organization for Economic Cooperation and Development (OECD) consists of 20 industrialized countries. For these nations, the prediction equation relating y = child poverty rate (in percentage points) to x = social expenditure as a percentage of gross domestic product (GDP) is = 22-1.3x. In 2000, the actual child poverty rate ranged from 2.8% (in Finland) to 21.9% (in the U.S.). Social expenditure as a percentage of GDP ranged from 2% (in the United States) to 16% (in Denmark). What is the value of the slope (b) estimated in the linear prediction equation provided above (= 22-1.3x)? Also, interpret the slope. Estimated slope (b): Interpretation of slope: