Question

In: Statistics and Probability

suppose the 2000 US census is collected for every person in the US and it allows...

suppose the 2000 US census is collected for every person in the US and it allows researchers to calculate summary quantities like the percent of the US population in a specified age range. What is the mean squared error of these summary quantities calculated from the census?

Solutions

Expert Solution

ANSWER::

The mean square error is the arithmetic mean of squares of errors and is calculated in the following steps:

*. According to 2000 census, suppose the US population is divided into k number of specified age ranges (classes).

*. For each range, the actual percentage of population is calculated as

        (Population size in the specified range/Total population)x100

*. Suppose the above actual percentages are assumed to follow any one of theoretical probability distribution suitably for future prediction

*. Then find the expected percentages as

       (Total Population)x(Probability function value) for each specified age  range

*. Now, error is the difference between actual percentage(a) and expected percentage(e), particularly, for an ith specified range, the error is

        Ei = ai-ei

*. The above Ei s and Ei 2 s are calculated for all k specified age ranges.

*. Finally, the Mean Square Error is calculated as

        MSE = [E1 2 +E2 2 +E3 2 +…+Ek 2]/k

*. If MSE is very least and nearer to 0, then the assumed theoretical probability distribution used to find expected percentages may be more suitable for the actual percentages.

NOTE:: I HOPE YOUR HAPPY WITH MY ANSWER....***PLEASE SUPPORT ME WITH YOUR RATING...

***PLEASE GIVE ME "LIKE"...ITS VERY IMPORTANT FOR ME NOW....PLEASE SUPPORT ME ....THANK YOU

orchestra answered 1 year ago
Next > < Previous

Related Solutions

The Bureau of the Census in the United States attempted to count every U.S. resident. Suppose...
The Bureau of the Census in the United States attempted to count every U.S. resident. Suppose that the counts in the table are obtained for four counties in one region. (Give all answers to four decimal places.) County Race/Ethnicity Caucasian Hispanic Black Asian American Indian Monterey 163,000 140,000 25,000 39,000 5,000 San Luis Obispo 190,000 38,000 7,000 9,000 3,000 Santa Barbara 230,000 121,000 12,000 24,000 5,000 Ventura 430,000 231,000 19,000 50,000 8,000 C. If one Hispanic person is selected at...
according to the US census bureau, the population of the US seniors65 and older, in the...
according to the US census bureau, the population of the US seniors65 and older, in the year 2004 was approximately 36,300,000 people. In the year 2010, it was 40,267,984 people. the senior population was growing at an approximately constant rate during this period. (a)use this information to express the US senior population as a function of time since the year 2000. (b) what is slope of your function? what does this mean in the context? (c) what would this model...
Suppose that, in an economy, every shop allows electronic payment by making more point of sales...
Suppose that, in an economy, every shop allows electronic payment by making more point of sales (POS) terminals available. What are the effects of this facility on the demand for money and on the price level?
Suppose that GLC earns a $2000 profit each time a person buys a car. We want...
Suppose that GLC earns a $2000 profit each time a person buys a car. We want to determine how the expected profit earned from a customer depends on the quality of GLC's cars. We assume a typical customer will purchase 10 cars during her lifetime. She will purchase a car now (year 1) and then purchase a car every five years—during year 6, year 11, and so on. For simplicity, we assume that Hundo is GLC's only competitor. We also...
In reference to the year 2000 national census, the distribution of United States households according to...
In reference to the year 2000 national census, the distribution of United States households according to type of living arrangement is given in the table below. An SRS of 500 households gives the observed frequencies, by household type, for the city of Aurora, Illinois. Ethnic Origin    Census Percent    Observed frequency from sample Married, with children                        25%                                                  95 Married, with no children                    20%                                                110 Single parent                                    5%                                                    35 Single individual                               15%                                                 65 One person                                      20%                                                 120 Other (roommate,...
Census data was collected on the 50 states and Washington, D.C. We are interested in determining...
Census data was collected on the 50 states and Washington, D.C. We are interested in determining whether average lifespan (LIFE) is related to the ratio of males to females in percent (MALE), birth rate per 1,000 people (BIRTH), divorce rate per 1,000 people (DIVO), number of hospital beds per 100,000 people (BEDS), percentage of population 25 years or older having completed 16 years of school (EDUC) and per capita income (INCO). (a) Fit the MLR model with LIFE (y) as...
Census data was collected on the 50 states and Washington, D.C. We are interested in determining...
Census data was collected on the 50 states and Washington, D.C. We are interested in determining whether average lifespan (LIFE) is related to the ratio of males to females in percent (MALE), birth rate per 1,000 people (BIRTH), divorce rate per 1,000 people (DIVO), number of hospital beds per 100,000 people (BEDS), percentage of population 25 years or older having completed 16 years of school (EDUC) and per capita income (INCO). "STATE" "MALE" "BIRTH" "DIVO" "BEDS" "EDUC" "INCO" "LIFE" AK...
Census data was collected on the 50 states and Washington, D.C. We are interested in determining...
Census data was collected on the 50 states and Washington, D.C. We are interested in determining whether average lifespan (LIFE) is related to the ratio of males to females in percent (MALE), birth rate per 1,000 people (BIRTH), divorce rate per 1,000 people (DIVO), number of hospital beds per 100,000 people (BEDS), percentage of population 25 years or older having completed 16 years of school (EDUC) and per capita income (INCO). "STATE" "MALE" "BIRTH" "DIVO" "BEDS" "EDUC" "INCO" "LIFE" AK...
Census data was collected on the 50 states and Washington, D.C. We are interested in determining...
Census data was collected on the 50 states and Washington, D.C. We are interested in determining whether average lifespan (LIFE) is related to the ratio of males to females in percent (MALE), birth rate per 1,000 people (BIRTH), divorce rate per 1,000 people (DIVO), number of hospital beds per 100,000 people (BEDS), percentage of population 25 years or older having completed 16 years of school (EDUC) and per capita income (INCO). "STATE" "MALE" "BIRTH" "DIVO" "BEDS" "EDUC" "INCO" "LIFE" AK...
Wage information collected by the Census Bureau shows the numberof workers being paid at or...
Wage information collected by the Census Bureau shows the number of workers being paid at or below minimum wage between 1979 to 2017. The survey runs monthly with sample sizes of 60,000 men and 60,000 women participants.The wages of men paid at or below minimum wage showed a mean of 1393 workers and a std. deviation of 589 workers.The wages of women paid at or below minimum wage showed a mean of 2511 workers and a std. deviation of 1107...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT