Step 1

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

To find the line of best fit, enter \(\displaystyle{x}={0},\ {10},\ {20},\ {30},\ {40},\) and 50 under \(\displaystyle{L}_{{{1}}}\) in your graphing calculator and the corresponding number of workers under \(\displaystyle{L}_{{{2}}}\). Then use the linear regressions feature. This gives \(\displaystyle{y}=\approx-{126}{x}+{7903}\) as the line of best fit. Draw this line on your scatterplot. The correlation coefficient is \(\displaystyle{r}\approx-{0.91}\). Since the correlation coefficient is negative and close to -1, there is a strong negative correlation.