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The table below shows the median weekly earnings of a certain population of workers. If this trend continues, predict the median weekly earnings in 2016. For this
exercise, find a linear and a quadratic regression equation and use both to predict the earnings in 2016. Let x be the number years since the year 2000 and y be
the weekly earnings in dollars
2002 2004
2006
2008 2010
Year
Weekly Earnings
Kin dollars)
567
580
616
625
618
A linear regression equation is y=[]
(Use integers or decimals for any numbers in the equation Round to three decimal places as needed)
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MrRoyal

A regression can take several forms such as linear models and quadratic models

The linear regression equation is: [tex]y = 7.35x + 557.1[/tex] and the quadratic regression equation is [tex]y = -1.196x^2 +21.707 x+523.6[/tex]

How to determine the regression equations

The data set is given as:

x 2 4 6 8 10

y 567 580 616 625 618

Next, we make use of a graphing calculator to determine the regression equations

From the graphing calculator, we have the following calculation summary

  • Sum of X = 30
  • Sum of Y = 3006
  • Mean X = 6
  • Mean Y = 601.2
  • Sum of squares (SSX) = 40
  • Sum of products (SP) = 294

So, the linear regression equation is:

[tex]y = 7.35x + 557.1[/tex]

And the quadratic regression equation is:

[tex]y = -1.196x^2 +21.707 x+523.6[/tex]

Read more about regression equations at:

https://brainly.com/question/25226042

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