Make a scatterplot for the data below on the number of people working on farms i

osi4a2nxk

osi4a2nxk

Answered question

2021-11-16

Make a scatterplot for the data below on the number of people working on farms in various years, and draw a line of best fit. Describe the correlation as strong positive, strong negative, or little to none.
Year194019501960197019801990Number of farm workers in thousands899568584132288128182864

Answer & Explanation

Blanche McClain

Blanche McClain

Beginner2021-11-17Added 15 answers

Step 1
Let x be the number of years after 1940. Then x=0 represents 1940, x=10 represents 1950, etc. Plot the points from the table as (Year, Number of workers):
image

Step 2
To find the line of best fit, enter x=0, 10, 20, 30, 40, and 50 under L1 in your graphing calculator and the corresponding number of workers under L2. Then use the linear regressions feature. This gives y=≈126x+7903 as the line of best fit. Draw this line on your scatterplot. The correlation coefficient is r0.91. Since the correlation coefficient is negative and close to -1, there is a strong negative correlation.
image

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