Question

A student is looking at the relationship between the number of workers in a factory and the number of units produced daily. the table shows the data: number of workers (x) 1 2 3 4 5 6 7 8 9 number of units (y) 7 11 12 16 17 24 23 26 32

part a: describe any correlation between the number of workers in a factory and the number of units produced daily. justify your answer.
part b: write a function that fits the data. show all work.
part c: what do the slope and y-intercept of the plot indicate about the scenario?

Answer 1

The data shows a positive correlation between the number of workers in a factory and the number of units produced daily. A linear regression can be used to find a function that fits the data. The slope and y-intercept of the plot provide information about the relationship between the variables.

Step-by-step explanation:

a. The data shows a positive correlation between the number of workers in the factory and the number of units produced daily. As the number of workers increases, the number of units produced also increases.

b. To find a function that fits the data, we can use linear regression. Using the data points from the table, we can calculate the equation of the least-squares line.

c. The slope of the plot indicates that for each additional worker in the factory, the number of units produced daily increases by an average of 3.77. The y-intercept of the plot represents the number of units produced when there are no workers in the factory, which is 4.