In: Math
Below is a table displaying the number of employees (x) and the profits per employee (y) for 16 publishing firms. Employees are recorded in 1000s of employees and profits per employee are recorded in $1000s.
Profits ($1000s) | 33.5 | 31.4 | 25.0 | 23.1 | 14.2 | 11.7 | 10.8 | 10.5 | 9.8 | 9.1 | 8.5 | 8.3 | 4.8 | 3.2 | 2.7 | -9.5 |
Employees (1000s) | 9.4 | 6.3 | 10.7 | 7.4 | 17.1 | 21.2 | 36.8 | 28.5 | 10.7 | 9.9 | 26.1 | 70.5 | 14.8 | 21.3 | 14.6 | 26.8 |
What is the correlation between these two variables?
If a linear regression model were fit, what is the value of the slope and the value of the y-intercept?
In a test for the slope of the regression line being equal to zero versus the two-sided alternate, what is the value of the test statistic and the p-value?