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Could I get some help on this pls, and most importantly how you could solve it.

Thank you.

Using your choice of technology, find the line of best fit using the data below for the women’s 100-meter Olympic records. Interpret the y-intercept, and explain the significance of the slope.

Could I Get Some Help On This Pls And Most Importantly How You Could Solve ItThank YouUsing Your Choice Of Technology Find The Line Of Best Fit Using The Data B class=
Could I Get Some Help On This Pls And Most Importantly How You Could Solve ItThank YouUsing Your Choice Of Technology Find The Line Of Best Fit Using The Data B class=

Sagot :

MrRoyal

The equation of the line of best fit is y = -0.03x + 69.94

How to determine the line of best fit?

The column headers are given as:

Year    Time(s)

To enter the data values in a graphing calculator, we use the following representations:

x ⇒ Year

y ⇒ Time (s)

Using the above representations, we have the following calculation summary from a graphing calculator:

  • Sum of X = 72209
  • Sum of Y = 432.95
  • Mean X = 1951.5946
  • Mean Y = 11.7014
  • Sum of squares (SSX) = 17242.9189
  • Sum of products (SP) = -514.5997

The equation of the line of best fit is:

y = bx + a

Where

b = SP/SSX = -514.6/17242.92 = -0.02984 ≈ -0.03

a = MY - bMX = 11.7 - (-0.03*1951.59) = 69.94497 ≈ 69.94

So, we have:

y = -0.03x + 69.94

A linear equation is represented as:

y = Slope * x + y intercept

So, we have:

Slope = -0.03

y intercept = 69.94

The y-intercept implies that the initial time is 69.94 seconds, while the slope implies that the time decreases by 0.03 seconds each year

Read more about line of best fit at:

https://brainly.com/question/1518824

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