The regression equation between the variables is y = 1.03x + 62.12 and the blood pressure on the left arm given that the systolic blood pressure in the right arm is 85 mm Hg is 149.67
<h3>How to determine the regression equation?</h3>
From the table of values, we make use of the following representations:
- Represent the Right Arm on the x axis
- Represent the Left Arm on the y axis
Using the above representations, we can now plot our data values on a graphing calculator
From the graphing calculator, we have the following summary:
- Sum of X = 458
- Sum of Y = 782
- Mean X = 91.6
- Mean Y = 156.4
- Sum of squares (SSX) = 601.2
- Sum of products (SP) = 618.8
The regression equation is
y = bx + a
Where
b = SP/SSX = 618.8/601.2 = 1.02927
a = MY - bMX = 156.4 - (1.03*91.6) = 62.11843
This gives
y = 1.03x + 62.12
Hence, the regression equation between the variables is y = 1.03x + 62.12
To predict the blood pressure on the left arm given that the systolic blood pressure in the right arm is 85 mm Hg, we have
y = 1.03 * 85 + 62.12
Evaluate
y = 149.67
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