Question

if amelia wants to make the maximum amount of money working only 22 hours per week, which company should she work for? explain your answer.

company a: using linear regression models from both data sets, she determines that it pays about $14 more.
company a: using quadratic regression models from both data sets, she determines that it pays about $5 more.
company b: using linear regression models from both data sets, she determines that it pays about $10 more.
company b: using exponential regression models from both data sets, she determines that it pays about $8 more.

Explanation:

Find the linear regression model for Company A

Using the data points for Company A: \((5, 340)\), \((12, 404)\), \((20, 460)\), \((29, 530)\), \((42, 630)\):

$$
LATEXBLOCK0
$$

Find the linear regression model for Company B

Using the data points for Company B: \((4, 125)\), \((9, 234)\), \((20, 450)\), \((32, 668)\), \((39, 828)\):

$$
LATEXBLOCK1
$$

Compare the predicted earnings at 22 hours

$$
LATEXBLOCK2
$$

Answer:

• Company A: Using linear regression models from both data sets, she determines that it pays about $14 more.
• Company A: Using quadratic regression models from both data sets, she determines that it pays about $5 more.
• Company B: Using linear regression models from both data sets, she determines that it pays about $10 more. (Correct answer)
• Company B: Using exponential regression models from both data sets, she determines that it pays about $8 more.