U.S. Census Bureau estimates of the average number of persons per household in the United States for census years between 1850 and 2000 are shown in the following table.† Year Per House 1850 5.55 1860 5.28 1870 5.09 1880 5.04 1890 4.93 1900 4.76 1910 4.54 1920 4.34 1930 4.11 1940 3.67 1950 3.37 1960 3.35 1970 3.14 1980 2.76 1990 2.63 2000 2.59 (a) Using statistical software, determine the least squares line for these data. Use the equation of this line to estimate the number of persons per household in the year 2010. (Round your answer to two decimal places.) persons (b) The actual value of persons per household in 2010 was 2.58. What is the value of the prediction error for 2010? (Round your answer to two decimal places.) (c) What is the slope of the line? (Round your answer to four decimal places.) Interpret the slope in the context of these variables. (Round your answer to four decimal places.) Every year the average number of persons per household will decrease by people. (d) Based on the regression line, what would be the predicted persons per household in the year 2400? (Round your answer to one d
U.S. Census Bureau estimates of the average number of persons per household in the United States for census years between 1850 and 2000 are shown in the following table.† Year Per House 1850 5.55 1860 5.28 1870 5.09 1880 5.04 1890 4.93 1900 4.76 1910 4.54 1920 4.34 1930 4.11 1940 3.67 1950 3.37 1960 3.35 1970 3.14 1980 2.76 1990 2.63 2000 2.59 (a) Using statistical software, determine the least squares line for these data. Use the equation of this line to estimate the number of persons per household in the year 2010. (Round your answer to two decimal places.) persons (b) The actual value of persons per household in 2010 was 2.58. What is the value of the prediction error for 2010? (Round your answer to two decimal places.) (c) What is the slope of the line? (Round your answer to four decimal places.) Interpret the slope in the context of these variables. (Round your answer to four decimal places.) Every year the average number of persons per household will decrease by people. (d) Based on the regression line, what would be the predicted persons per household in the year 2400? (Round your answer to one d
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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U.S. Census Bureau estimates of the average number of persons per household in the United States for census years between 1850 and 2000 are shown in the following table.†
| Year | Per House |
|---|---|
| 1850 | 5.55 |
| 1860 | 5.28 |
| 1870 | 5.09 |
| 1880 | 5.04 |
| 1890 | 4.93 |
| 1900 | 4.76 |
| 1910 | 4.54 |
| 1920 | 4.34 |
| 1930 | 4.11 |
| 1940 | 3.67 |
| 1950 | 3.37 |
| 1960 | 3.35 |
| 1970 | 3.14 |
| 1980 | 2.76 |
| 1990 | 2.63 |
| 2000 | 2.59 |
(a)
Using statistical software, determine the least squares line for these data. Use the equation of this line to estimate the number of persons per household in the year 2010. (Round your answer to two decimal places.)
persons
(b)
The actual value of persons per household in 2010 was 2.58. What is the value of the prediction error for 2010? (Round your answer to two decimal places.)
(c)
What is the slope of the line? (Round your answer to four decimal places.)
Interpret the slope in the context of these variables. (Round your answer to four decimal places.)
Every year the average number of persons per household will decrease by people.
(d)
Based on the regression line, what would be the predicted persons per household in the year 2400? (Round your answer to one decimal place.)
persons
Realistically, what is the lowest possible value of the persons per household number? (Assume a household is defined to be a place where someone lives.)
How does the estimate for 2400 compare to this value?
The estimate is realistic because it is positive.
The estimate is not realistic because it is approximately 0.
The estimate is not realistic because it is negative.
The estimate is realistic because it is approximately 0.
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