Question

Create a scatterplot to represent the data provided and sketch a line of best fit.

Write a function modeling the line of best fit.
Predict Mark's salary, in thousands of dollars, with 15 years of work experience. Justify your answer.
Who do you agree with regarding the signing bonus and its impact on female employees' salaries? Justify your reasoning algebraically or graphically.

Answer 1

To create a scatterplot, plot the data points and fit a line of best fit. Use the equation to predict Mark's salary. Analyze the correlation coefficient to determine the impact of the signing bonus on female employees' salaries.

Step-by-step explanation:

To create a scatterplot, we need data points that represent the relationship between two variables. Once we have the scatterplot, we can sketch a line of best fit and write a function to model the line. In this case, we have data on work experience and salaries. We can plot the data points on the scatterplot, fit a line of best fit, and write the equation in the form ý = a + bx.

To predict Mark's salary with 15 years of work experience, we can substitute 15 into the equation and solve for ý. The signing bonus and its impact on female employees' salaries can be analyzed by examining the correlation coefficient.

If the coefficient is close to 1, it indicates a strong positive relationship between the variables. If it is close to -1, it indicates a strong negative relationship.