A sociologist examines the relationship between the poverty rate and several socioeconomic factors. For the 50 states and the District of Columbia (n = 51), he collects data on the poverty rate (y, in %), the percent of the population with at least a high school education (x1), median income (x2, in $1000s), and the mortality rate per 1,000 residents (x3). He estimates the following model as = Bo + B1 Education + B2 Income + B3 Mortality + ɛ. The following ANOVA table shows a portion of the regression results. df S MS F Regression 3 416.6 138.87 90.8 Residual 47 71.7 1.53 Total 50 488.3 Coefficients Standard Error t-stat p-value Intercept 63.2 4.6 13.74 1.65E-16 Education -0.52 0.02 -26 5.45E-10 Income -0.4 0.04 -10 6.02E-10 Morality 0.05 0.13 0.38 0.6438 What is the predicted poverty rate for a state where 50% of the population has at least a high school education, the median income is $48,000, and the mortality rate is 15 per 1,000 residents? Multiple Choice 22.95% 20.85%

A sociologist examines the relationship between the poverty rate and several socioeconomic factors. For the 50 states and the District of Columbia (n = 51), he collects data on the poverty rate (y, in %), the percent of the population with at least a high school education (x1), median income (x2, in $1000s), and the mortality rate per 1,000 residents (x3). He estimates the following model as = Bo + B1 Education + B2 Income + B3 Mortality + ɛ. The following ANOVA table shows a portion of the regression results. df S MS F Regression 3 416.6 138.87 90.8 Residual 47 71.7 1.53 Total 50 488.3 Coefficients Standard Error t-stat p-value Intercept 63.2 4.6 13.74 1.65E-16 Education -0.52 0.02 -26 5.45E-10 Income -0.4 0.04 -10 6.02E-10 Morality 0.05 0.13 0.38 0.6438 What is the predicted poverty rate for a state where 50% of the population has at least a high school education, the median income is $48,000, and the mortality rate is 15 per 1,000 residents? Multiple Choice 22.95% 20.85%

Name: A sociologist examines the relationship between the poverty rate and
Uploaded: 2024-03-20T06:38:58.000Z
Channel: Bartleby
Description: A sociologist examines the relationship between the poverty rate and several socioeconomic factors. For the 50 states and the District of Columbia (n =51), he collects data on the poverty rate (y, in %), the percent of the population with at least a

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 22EQ

See similar textbooks

Related questions

Q: Use the model to make the appropriate prediction. A sociologist wanted to determine whether there…

A: In this question, we have a regression model equation using which we have to predict the teen…

Q: The table below shows the number of state-registered automatic weapons and the murder rate for…

A: Regression analysis : Regression analysis is used to estimate (or) predict the dependent variable on…

Q: OLS Regression Results R-squared: Adj. R-squared: Dep. Variable: mpg 0.821 Model: OLS 0.808 Method:…

A: To find variables (weight and horsepower) are significant or not in the model we compare p value…

Q: medical statistician wanted to examine the relationship between the amount of sunshine (x) and…

A: Provided information is, A medical statistician wanted to examine the relationship between the…

Q: The block of code below produces a simple linear regression model using "miles per gallon" as the…

Q: The table below shows the number of state-registered automatic weapons and the murder rate for…

A: x=thousands of automatic weaponsy=murders per 100,000 residentsand y=0.84x+3.9

Q: A river was found to be contaminated with toxins at a concentration of 0.006 grams per cubic meter…

A: Given:A river was found to be contaminated with toxins at a concentration of 0.006 grams per cubic…

Q: The relationship between sleep hours and overall happiness level on the next day was estimated as…

A: y^ =β1x + β0

Q: A study of the mail survey response rate patterns of people aged 60-90 found a prediction equation…

Q: Assume we have data demonstrating a strong linear link between the amount of fertilizer applied to…

A: A variable can be divided into two types dependent and independent. The independent variables are…

Q: The Minister of National Security in Trinidad and Tobago is interested in determining the factors…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts. In case…

Q: A sales manager wants to examine the relationship between the number of daily customers (x) and the…

A: (a) The independent variable, x is number of daily customers and the dependent variable, y is the…

Q: Is the number of calories in a beer related to the number of carbohydrates and/or the percentage of…

A: Form the given table in an excel sheet-

Q: In a study of housing demand, the county assessor develops the following regression model to…

Q: f we performed a t-test, how many people would be in the study based on the regression model in…

A: Here simple linear regression output is given.The independent variable is weight.To find the number…

Q: The table below shows the number of state-registered automatic weapons and the murder rate for…

Q: The data was obtained in a study on the number of absences in the day and the final gra of seven…

A: d) From the given output, the correlation between number of absences and final grade is -0.944. That…

Q: The Minister of National Security in Trinidad and Tobago is interested in determining the factors…

A: The research is focused on to determine the extent of factors on the overall number of crimes. Thus,…

Q: In a study of housing demand, the county assessor develops the following regression model to…

A: The slope coefficient of X1 (measured in 100 feets) is 3.459. So, holding all else constant, an…

Q: 1. Develop a simple linear regression equation for starting salaries using an independent variable…

A: The simple linear regression equation is given by y^=β0+β1x+∈i let X be a independent variables Let…

Q: Marina, Elena, Paloma, Alejandra and Rocío are 2, 3, 5, 7 and 8 years old and weigh 14, 20, 30, 42…

A: The regression analysis is a statistical procedure that allow us to find the linear association…

Q: A Cohort study was planned to identify the relationship between smoking and lung cancer. The number…

A: Given: Number of smokers = 500 Number of non smokers = 1000 Number of smokers with lung cancer =…

Q: A study reported by an electric engineering student considered the effect of X-ray inspection of…

A: It is required to obtain the equation of regression line between radiation doses on exposure time.…

Q: According to human capital theory, a person’s earning is linked to her level of education – there is…

A: According to human capital theory, a person’s earning is linked to her level of education – there is…

Q: The table below shows the number of state-registered automatic weapons and the murder rate for…

A: The regression equation is x=Thousands of automatic weaponsy=murders per 100,000 residents

Q: The data in MEAPSINGLE were used to estimate the following equations relating school-level…

A: Then the there are two variables which are now explaining the variation in the dependent variable…

Q: SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Square 0.98 0.97 0.97 Standard…

A: Linear regression is used to give a linear relationship between response and explanatory variable. A…

Q: The table below shows the number of state-registered automatic weapons and the murder rate for…

A: Given: X = thousands of automatic weaponsY = murders per 100,000 residents The equation of linear…

Q: he data lists the average gestation period (in days) and longevity (in years) for a sample of…

Concept explainers

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.

Topic Video

Question

100%

A sociologist examines the relationship between the poverty rate and several socioeconomic factors. For the 50 states and the District of Columbia (n =
51), he collects data on the poverty rate (y, in %), the percent of the population with at least a high school education (x1), median income (x2, in $1000s),
and the mortality rate per 1,000 residents (x3). He estimates the following model as = Bo + B1 Education + B2 Income + B3 Mortality + ɛ. The
following ANOVA table shows a portion of the regression results.
df
S
MS
F
Regression
3
416.6
138.87
90.8
Residual
47
71.7
1.53
Total
50
488.3
Coefficients
Standard Error
t-stat
p-value
Intercept
63.2
4.6
13.74
1.65E-16
Education
-0.52
0.02
-26
5.45E-10
Income
-0.4
0.04
-10
6.02E-10
Morality
0.05
0.13
0.38
0.6438
What is the predicted poverty rate for a state where 50% of the population has at least a high school education, the median income is $48,000, and the
mortality rate is 15 per 1,000 residents?
Multiple Choice
22.95%
20.85%

What is the predicted poverty rate for a state where 50% of the population has at least a high school education, the median income is $48,000, and the
mortality rate is 15 per 1,000 residents?
Multiple Choice
22.95%
20.85%
16.85%
18.75%

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1:-

VIEW

Step 2:- Calculation

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Sequence$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions

Find the equation of the regression line for the following data set. x 1 2 3 y 0 3 4
What does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?
For the revenue model in Exercise 10.206 and Exercise 10.210, explain what the x-intercepts mean to the backpack retailer.
If you are performing a break-even analysis for a business and their cost and revenue equations are dependent, explain what this means for the company's profit margins.
Use the model to make the appropriate prediction. A sociologist wanted to determine whether there was a relation between a state's poverty rate (x) and its teen pregnancy rate (y). Data from all 50 states produced the regression model: yˆ=4.3+1.4(x) What does the model suggest for the poverty rate of Florida, which has a poverty rate of 16.6? a) 9.2% b) 27.5% c) 12.9% d) 17% e) 22.4%
Brandon works as a statistician for the Toronto Blue Jays, and wants to analyze the relationship between a player's age and how many strikeouts they accumulate in a season. He takes a sample of 5 Blue Jays players with age between 25 and 34 and finds there is a linear relationship between their ages and the number of strikeouts they had in the 2015 season. Here are the numerical summaries for age and the number of strikeouts: r = 0.6, age = 25.3, Sage = 3.2, strikeout = 105.7, S strikeout = 7.48 a) What is the value of b₁, the estimated slope? (Round your answer to 3 decimal places, if needed.) Answer: b) What is the value of bo, the estimated intercept? (Round your answer to 3 decimal places, if needed.) Answer: c) What is the percent of variation in the number of strikeouts that is explained by age, using linear regression? (Round your answer to 2 decimal places, if needed.) Answer: % d) Can we use this linear regression to predict the number of strikeouts for a player age at 37? No,…
Brandon works as a statistician for the Toronto Blue Jays, and wants to analyze the relationship between a player's age and how many strikeouts they accumulate in a season. He takes a sample of 8 Blue Jays players with age between 25 and 34 and finds there is a linear relationship between their ages and the number of strikeouts they had in the 2015 season. Here are the numerical summaries for age and the number of strikeouts: r = 0.67, age = 28.4, Sage = 3.96, strikeout= 102.9, S strikeout = 7.7 (a) What is the value of b₁, i.e. the fitted slope? (Round your answer to 3 decimal places) Answer: (b) What the value of bo, i.e. the fitted intercept? (Round your answer to 3 decimal places.) Answer: (c) What is the percent of variation of the number of strikeouts that is explained by age using a linear regression? (Round your answer to 2 decimal places.) Answer: % (d) Can we use this linear regression to predict the number of strikeouts for a player age 38? Answer: O No, because the…
In a study of housing demand, the county assessor develops the following regression model to estimate the market value (i.e., selling price) of residential property within his jurisdiction. The assessor suspects that important variables affecting selling price (YY, measured in thousands of dollars) are the size of a house (X1X1, measured in hundreds of square feet), the total number of rooms (X2X2), age (X3X3), and whether or not the house has an attached garage (X4X4, No=0, Yes=1No=0, Yes=1). Y=α+β1X1+β2X2+β3X3+β4X4+εY=α+β1X1+β2X2+β3X3+β4X4+ε Now suppose that the estimate of the model produces following results: a=166.048a=166.048, b1=3.459b1=3.459, b2=8.015b2=8.015, b3=−0.319b3=−0.319, b4=1.186b4=1.186, sb1=1.079sb1=1.079, sb2=5.288sb2=5.288, sb3=0.789sb3=0.789, sb4=12.252sb4=12.252, R2=0.838R2=0.838, F-statistic=12.919F-statistic=12.919, and se=13.702se=13.702. Note that the sample consists of 15 randomly selected observations. According to the estimated model, holding all…
Marina, Elena, Paloma, Alejandra and Rocío are 2, 3, 5, 7 and 8 years old and weigh 14, 20, 30, 42 and 44 kg respectively. With these data:(a) Find the equation of the regression line of age on weight.b) Estimate the approximate "weight" for a 6-year-old girl.
The data in MEAPSINGLE were used to estimate the following equations relating school-level performance on a fourth-grade math test to socioeconomic characteristics of students attending school. The variable free,
In a study of housing demand, the county assessor develops the following regression model to estimate the market value (i.e., selling price) of residential property within his jurisdiction. The assessor suspects that important variables affecting selling price (Y, measured in thousands of dollars) are the size of a house (X₁, measured in hundreds of square feet), the total number of rooms (X₂), age (X3), and whether or not the house has an attached garage (X4, No = 0, Yes = 1). Y = a + B₁X₁+ B2X2 + B3X3+ B4X4+ ε Now suppose that the estimate of the model produces following results: a = 182.550, b₁ = 4.067, b₂ = 3.422, b3 = 0.019, b4-8.962, Sb1 = 0.571, Sb2 = 3.225, Sb=0.432, sb = 7.302, R² = 0.946, F-statistic = 43.61, and se = 7.923. Note that the sample consists of 15 randomly selected observations. According to the estimated model, holding all else constant, an additional room means the market value Which of the independent variables (if any) appears to be statistically significant…
The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. x 11.9 8.4 6.6 3.8 2.6 2.3 2.2 0.9 y 14.2 11.1 9.6 7 6.2 6.1 5.8 5 x = thousands of automatic weaponsy = murders per 100,000 residentsThis data can be modeled by the equation y=0.85x+4.03. Use this equation to answer the following; Special Note: I suggest you verify this equation by performing linear regression on your calculator.A) How many murders per 100,000 residents can be expected in a state with 7.7 thousand automatic weapons?