The equation of the trend line is y = 3x + 15
How to determine the equation of the trend line?
Start by entering the table of values in a graphing calculator.
From the graphing calculator, we have the following summary:
- Sum of X = 21
- Sum of Y = 153
- Mean X = 3.5
- Mean Y = 25.5
- Sum of squares (SSX) = 17.5
- Sum of products (SP) = 52.5
The equation of the trend line is represented as:
y = bx + a
Where
b = SP/SSX = 52.5/17.5 = 3
a = MY - bMX = 25.5 - (3*3.5) = 15
This gives
y = 3x + 15
Hence, the equation of the trend line is y = 3x + 15
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