The population of a country is expected to drop by 30% over the next 50 years as the percent of its citizens that are elderly increases. Projections for the country's population through 2050 are shown in the table. Year, t 2005 2010 2020 2030 2040 2050 Population, P (in millions) 127.8 127.5 124.1 117.8 109.5 100.8 (a) Use a graphing utility to create a scatter plot of the data. Let t = 5 represent 2005. Do the data appear to be approximately linear? Yes or No (b) Use the regression feature of a graphing utility to find a linear model for the data. (Round your numerical values to two decimal places.) P = (c) Identify the slope of the model from part (b). (Round your answer to two decimal places.)Interpret its meaning in the context of the problem.(Choose one below) The population of the country is expected to increase by 610,000 people each year. The population of the country is expected to decrease by 610,000 people each year. The population of the country is expected to increase by 133,660,000 people each year. The population of the country is expected to decrease by 133,660,000 people each year. (d) Use the linear model to predict the population in 2015, 2035, and 2060. (Round your answers to one decimal place.) 2015 million people 2035 million people 2060 million people Are these predictions reasonable? Yes or No
The population of a country is expected to drop by 30% over the next 50 years as the percent of its citizens that are elderly increases. Projections for the country's population through 2050 are shown in the table. Year, t 2005 2010 2020 2030 2040 2050 Population, P (in millions) 127.8 127.5 124.1 117.8 109.5 100.8 (a) Use a graphing utility to create a scatter plot of the data. Let t = 5 represent 2005. Do the data appear to be approximately linear? Yes or No (b) Use the regression feature of a graphing utility to find a linear model for the data. (Round your numerical values to two decimal places.) P = (c) Identify the slope of the model from part (b). (Round your answer to two decimal places.)Interpret its meaning in the context of the problem.(Choose one below) The population of the country is expected to increase by 610,000 people each year. The population of the country is expected to decrease by 610,000 people each year. The population of the country is expected to increase by 133,660,000 people each year. The population of the country is expected to decrease by 133,660,000 people each year. (d) Use the linear model to predict the population in 2015, 2035, and 2060. (Round your answers to one decimal place.) 2015 million people 2035 million people 2060 million people Are these predictions reasonable? Yes or No
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.2: Representing Data
Problem 14PPS
Related questions
Topic Video
Question
The population of a country is expected to drop by 30% over the next 50 years as the percent of its citizens that are elderly increases. Projections for the country's population through 2050 are shown in the table.
| Year, t | 2005 | 2010 | 2020 | 2030 | 2040 | 2050 |
|---|---|---|---|---|---|---|
| Population, P (in millions) | 127.8 | 127.5 | 124.1 | 117.8 | 109.5 | 100.8 |
(a) Use a graphing utility to create a scatter plot of the data. Let t = 5 represent 2005. Do the data appear to be approximately linear? Yes or No
(b) Use the regression feature of a graphing utility to find a linear model for the data. (Round your numerical values to two decimal places.)
(c) Identify the slope of the model from part (b). (Round your answer to two decimal places.)
Interpret its meaning in the context of the problem.(Choose one below)
(d) Use the linear model to predict the population in 2015, 2035, and 2060. (Round your answers to one decimal place.)
Are these predictions reasonable?
(b) Use the regression feature of a graphing utility to find a linear model for the data. (Round your numerical values to two decimal places.)
P =
(c) Identify the slope of the model from part (b). (Round your answer to two decimal places.)
Interpret its meaning in the context of the problem.(Choose one below)
- The population of the country is expected to increase by 610,000 people each year.
- The population of the country is expected to decrease by 610,000 people each year.
- The population of the country is expected to increase by 133,660,000 people each year.
- The population of the country is expected to decrease by 133,660,000 people each year.
(d) Use the linear model to predict the population in 2015, 2035, and 2060. (Round your answers to one decimal place.)
| 2015 | million people |
| 2035 | million people |
| 2060 | million people |
Are these predictions reasonable?
Yes or No
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!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 4 images
Knowledge Booster
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.Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage