(5) (5) = 3, then (10) =??? , 3
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As the number of years increases, the percentage of married women with children ages 6 to 17 in labor force increases
<h3>a. Draw a scatter plot of these data with year on the horizontal axis. </h3>To do this, we enter the number of years after 1900 and the percentage of labor force on a graphing calculator
See attachment for the scatter plot
<h3>b. Use a statistics utility to find a linear model to fit the data</h3>Using the graphing calculator, we can find a linear model to fit the data
From the line on the scatter plot, the equation is
y = 1.12x - 28.48
<h3>c. The percentage in the labor force in the year 1982?</h3>This means that x = 82
So, we have:
y = 1.12 * 82 - 28.48
Evaluate
y = 63.36
Hence, the percentage in the labor force in the year 1982 is 63.36%
<h3>d. About what year will 85% be in the labor force?</h3>This means that y = 85
So, we have:
85 = 1.12x - 28.48
This gives
1.12x = 113.48
Divide by 1.12
x = 101.32
Approximate
x = 101
Year = 1900 + 101
Year = 2001
Hence, the year is 2001
<h3>What is the correlation coefficient for this data?</h3>To do this, we enter the number of years after 1900 and the percentage of labor force on a graphing calculator
Using the graphing tool;
The value of correlation coefficient for this data is 0.9962.
<h3>f. Write a sentence which explains the direction and strength of the correlation.</h3>This is a strong positive correlation, which means that as the number of years increases, the percentage of married women with children ages 6 to 17 in labor force increases
Read more about scatter plot at:
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