Use the regression calculator to compare the teams’ number of runs with their number of wins. a 2-column table with 9 rows. colu

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Use the regression calculator to compare the teams’ number of runs with their number of wins. a 2-column table with 9 rows. colu

mn 1 is labeled r with entries 808, 768, 655, 684, 637, 619, 613, 609, 563. column 2 is labeled w with entries 93, 94, 66, 81, 86, 75, 61, 69, 55. the equation of the trend line is

Mathematics

1 answer:

-Dominant- [34] · Answer 1 · 2023-07-07T22:19:49+03:00

The equation of the trend line is ŷ = 0.15x - 23.21

<h3>How to determine the average rate of change of the trend line?</h3>

The points are given as:

hr =>808, 768, 655, 684, 637, 619, 613, 609, 563

w => 93, 94, 66, 81, 86, 75, 61, 69, 55.

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

Sum of X = 5956
Sum of Y = 680
Mean X = 661.7778
Mean Y = 75.5556
Sum of squares (SSX) = 50569.5556
Sum of products (SP) = 7547.1111

The regression equation is represented as:

ŷ = bX + a

Where:

b = SP/SSX

b = 7547.11/50569.56

b = 0.14924

a = MY - bMX

a = 75.56 - (0.15*661.78)

a = -23.20961

This gives

ŷ = 0.14924X - 23.20961

Approximate

ŷ = 0.15x - 23.21

Hence, the equation of the trend line is ŷ = 0.15x - 23.21