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
Read more about trend lines at:
brainly.com/question/2589459
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