The regression equation is y = 3.231x + 10.138
How to determine the regression equation?
The regression model that fits the data is a linear model.
This is so because as x increases by 1, the y value increases by an almost constant rate
To determine the regression equation, we make use of a graphing calculator
From the graphing calculator, we have the following summary:
- Sum of X = 15
- Sum of Y = 109.3
- Mean X = 2.5
- Mean Y = 18.2167
- Sum of squares (SSX) = 17.5
- Sum of products (SP) = 56.55
The regression equation is then calculated as;
y = bx + a
Where
b = SP/SSX = 56.55/17.5 = 3.23143
a = MY - bMX = 18.22 - (3.23*2.5) = 10.1381
So, we have:
y = 3.23143x + 10.1381
Approximate
y = 3.231x + 10.138
Hence, the regression equation is y = 3.231x + 10.138
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