Average Household Size The table lists the average number y of people per household for various years x.
x | 1940 | 1950 | 1960 | 1970 |
y | 3.67 | 3.37 | 3.33 | 3.14 |
x | 1980 | 1990 | 2000 | 2010 |
y | 2.76 | 2.63 | 2.62 | 2.58 |
Source: U.S. Census Bureau.
(a) Make a scatter diagram of the data.
(b) Decide whether the correlation coefficient is positive, negative, or zero.
(c) Find a least-squares regression line that models these data. What is the correlation coefficient?
(d) Estimate the number of people per household in 1975, and compare it with the actual value of 2.94.
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