contestada

Use a graphing calculator to find a linear regression model for the​ men's 100-meter freestyle data given in the table on the​ right, where x is years since 1980 and y is winning time​ (in seconds). Do the same for the​ women's 100-meter freestyle data. Do these models indicate that the women will eventually catch up with the​ men?

Respuesta :

MrRoyal

A linear regression model is used to show the relationship between variables on a scatter plot

The true statement is that: the women will eventually catch up with the men

How to determine the linear regression model?

For the men's model, we have the following calculation summary (from a graphing calculator)

  • Sum of X = 112
  • Sum of Y = 390.45
  • Mean X = 14
  • Mean Y = 48.8063
  • Sum of squares (SSX) = 672
  • Sum of products (SP) = -62.42

So, the regression equation is:

[tex]\^y = -0.09\^x + 50.11[/tex]

For the women's model, we have the following calculation summary (from a graphing calculator)

  • Sum of X = 112
  • Sum of Y = 435.71
  • Mean X = 14
  • Mean Y = 54.4638
  • Sum of squares (SSX) = 672
  • Sum of products (SP) = -52.9

So, the regression equation is:

[tex]\^y = -0.08\^x + 55.57[/tex]

The models are linear functions, and they do not have the same slope.

This means that, the women will eventually catch up with the men

Read more about linear regression models at:

https://brainly.com/question/17844286

Otras preguntas