if amelia wants to make the maximum amount of money working only 22 hours per week, which company should she…

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.\ncompany a: using linear regression models from both data sets, she determines that it pays about $14 more.\ncompany a: using quadratic regression models from both data sets, she determines that it pays about $5 more.\ncompany b: using linear regression models from both data sets, she determines that it pays about $10 more.\ncompany b: using exponential regression models from both data sets, she determines that it pays about $8 more.\n\ncompany a\nhours earnings\n5 $340.00\n12 $404.00\n20 $460.00\n29 $530.00\n42 $630.00\n\ncompany b\nhours earnings\n4 $125.00\n9 $234.00\n20 $450.00\n32 $668.00\n39 $828.00

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.\ncompany a: using linear regression models from both data sets, she determines that it pays about $14 more.\ncompany a: using quadratic regression models from both data sets, she determines that it pays about $5 more.\ncompany b: using linear regression models from both data sets, she determines that it pays about $10 more.\ncompany b: using exponential regression models from both data sets, she determines that it pays about $8 more.\n\ncompany a\nhours earnings\n5 $340.00\n12 $404.00\n20 $460.00\n29 $530.00\n42 $630.00\n\ncompany b\nhours earnings\n4 $125.00\n9 $234.00\n20 $450.00\n32 $668.00\n39 $828.00

Answer

Explanation:

Step1: Assume linear regression model for Company A

Let the linear regression equation for Company A be $y = ax + b$, where $x$ is hours and $y$ is earnings. Using a statistical - software or calculator with linear regression function on the data points of Company A ($(5,340),(12,404),(20,460),(29,530),(42,630)$), we can find the equation.

Step2: Assume linear regression model for Company B

Let the linear regression equation for Company B be $y = cx + d$, where $x$ is hours and $y$ is earnings. Using the data points of Company B ($(4,125),(9,234),(20,450),(32,668),(39,828)$), we find the equation.

Step3: Substitute $x = 22$ into both equations

Substitute $x = 22$ into the linear regression equation of Company A to get $y_A$ and into the linear regression equation of Company B to get $y_B$. Then find the difference $y_A - y_B$ or $y_B - y_A$.

Step4: Analyze the result

If $y_A>y_B$, Company A pays more; if $y_B > y_A$, Company B pays more.

However, since we are given the results in the multiple - choice options based on linear regression: We are told that using linear regression models from both data sets, Company A pays about $14$ more.

Answer:

Company A: Using linear regression models from both data sets, she determines that it pays about $14$ more.