/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 28 United Press International publi... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Problem 28

United Press International published an article with the headline "Study Finds Correlation between Education, Life Expectancy." Would you expect this correlation to be negative or positive? Explain your reasoning in the context of this headline.

Short Answer

Expert verified
The correlation between 'Education' and 'Life Expectancy', as suggested by the headline, is expected to be positive. This implies that an increase in education level is generally associated with an increase in life expectancy.

Step by step solution

01

Understanding the concepts of Correlation and Variables

In correlation, we have two variables, in this case, 'Education' and 'Life Expectancy'. In a positive correlation, when one variable increases, the other also increases. In contrast, during a negative correlation, one variable's increase leads to the decrease in the other variable.
02

Interpreting the correlation based on real-life understanding

The exercise states a 'correlation' between 'Education' and 'Life Expectancy'. In general, a higher level of education often leads to better understanding about maintaining health, getting better healthcare facilities and information about diseases which might result in longer life span. Therefore, it is reasonable to predict that if the 'Education' variable increases (more education), the 'Life Expectancy' variable should also increase (longer life). This suggests a positive correlation.
03

Extrapolating the correlation to the headline

Given that the headline states a 'correlation' (relationship) between 'Education' and 'Life Expectancy', and considering the arguments made in the previous step, it can be inferred that this correlation is likely to be positive. Therefore, the more educated people are, on average, the higher their life expectancy, according to the article.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Education
Education plays an essential role in shaping an individual's life. It is not just about acquiring knowledge; it also encompasses learning how to lead a healthy and productive life. Education empowers people with critical thinking skills and the ability to understand the world around them.

When individuals receive higher education:
  • They often gain access to better career opportunities.
  • They tend to have greater health literacy, allowing them to make informed health choices.
  • They learn the importance of balanced nutrition and lifestyles, reducing the risk of diseases.
These factors contribute to an overall better quality of life. By improving access to education, societies can help their citizens achieve better health outcomes.
Life Expectancy
Life expectancy is a measure of the average time an individual is expected to live based on current age and demographic factors. It is a key indicator used to gauge the overall health of a population.

Several factors can influence life expectancy, including:
  • Access to healthcare services, which helps in early detection and treatment of ailments.
  • Socioeconomic status, influencing the ability to afford a healthy lifestyle.
  • Genetic factors and lifestyle choices, such as diet, exercise, and avoidance of harmful habits like smoking.
An increase in life expectancy is often seen in societies with advanced education systems, as educated individuals typically make healthier choices.
Positive Correlation
In statistics, a positive correlation occurs when two variables move in the same direction. This means that as one variable increases, the other variable also tends to increase. This type of relationship is beneficial when investigating links between various life factors.

In the context of education and life expectancy:
  • A positive correlation suggests that the more education people have, the longer they may live.
  • Higher education levels often lead to enhanced job prospects and income, improving access to healthcare and quality of life.
  • Educated individuals are more likely to engage in health-promoting behaviors, which can contribute to a longer lifespan.
Understanding positive correlations can help policymakers focus on education as a tool for improving public health.

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

The following table shows the weights and prices of some turkeys at different supermarkets. a. Make a scatterplot with weight on the \(x\) -axis and cost on the \(y\) -axis. Include the regression line on your scatterplot. b. Find the numerical value for the correlation between weight and price. Explain what the sign of the correlation shows. c. Report the equation of the best-fit straight line, using weight as the predictor \((x)\) and cost as the response \((y)\). d. Report the slope and intercept of the regression line, and explain what they show. If the intercept is not appropriate to report, explain why. e. Add a new point to your data: a 30 -pound turkey that is free. Give the new value for \(r\) and the new regression equation. Explain what the negative correlation implies. What happened? f. Find and interpret the coefficient of determination using the original data. $$ \begin{array}{|c|c|} \hline \text { Weight (pounds) } & \text { Price } \\ \hline 12.3 & \$ 17.10 \\ \hline 18.5 & \$ 23.87 \\ \hline 20.1 & \$ 26.73 \\ \hline 16.7 & \$ 19.87 \\ \hline 15.6 & \$ 23.24 \\ \hline 10.2 & \$ 9.08 \\ \hline \end{array} $$

Answer the questions using complete sentences. a. An economist noted the correlation between consumer confidence and monthly personal savings was negative. As consumer confidence increases, would we expect monthly personal savings to increase, decrease, or remain constant? b. A study found a correlation between higher education and lower death rates. Does this mean that one can live longer by going to college? Why or why not?

Answer the questions using complete sentences. a. What is an influential point? How should influential points be treated when doing a regression analysis? b. What is the coefficient of determination and what does it measure? c. What is extrapolation? Should extrapolation ever be used?

The table shows the calories in a five-ounce serving and the \(\%\) alcohol content for a sample of wines. (Source: healthalicious.com) $$ \begin{array}{|c|c|} \hline \text { Calories } & \% \text { alcohol } \\ \hline 122 & 10.6 \\ \hline 119 & 10.1 \\ \hline 121 & 10.1 \\ \hline 123 & 8.8 \\ \hline 129 & 11.1 \\ \hline 236 & 15.5 \\ \hline \end{array} $$ a. Make a scatterplot using \(\%\) alcohol as the independent variable and calories as the dependent variable. Include the regression line on your scatterplot. Based on your scatterplot do you think there is a strong linear relationship between these variables? b. Find the numerical value of the correlation between \(\%\) alcohol and calories. Explain what the sign of the correlation means in the context of this problem. c. Report the equation of the regression line and interpret the slope of the regression line in the context of this problem. Use the words calories and \% alcohol in your equation. Round to two decimal places. d. Find and interpret the value of the coefficient of determination. e. Add a new point to your data: a wine that is \(20 \%\) alcohol that contains 0 calories. Find \(r\) and the regression equation after including this new data point. What was the effect of this one data point on the value of \(r\) and the slope of the regression equation?

Seth Wagerman, a former professor at California Lutheran University, went to the website RateMyProfessors.com and looked up the quality rating and also the "easiness" of the six full-time professors in one department. The ratings are 1 (lowest quality) to 5 (highest quality) and 1 (hardest) to 5 (easiest). The numbers given are averages for each professor. Assume the trend is linear, find the correlation, and comment on what it means. $$ \begin{array}{|c|c|} \hline \text { Quality } & \text { Easiness } \\ \hline 4.8 & 3.8 \\ \hline 4.6 & 3.1 \\ \hline 4.3 & 3.4 \\ \hline 4.2 & 2.6 \\ \hline 3.9 & 1.9 \\ \hline 3.6 & 2.0 \\ \hline \end{array} $$
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Discrete Mathematics

Read Explanation

Applied Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Statistics

Read Explanation

Pure Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.