The regression equation is y = -0.42647x + 29.11471 and the correlation coefficient is -0.9607
<h3>How to determine the regression equation?</h3>
The table of values is given as:
Completion Percentage 57 59 62 63 64
Interception Percentage 5 3.5 3 2.5 1.5
Next, we enter the above values in a graphing calculator.
From the graphing calculator, we have the following summary:
- Sum of X = 305
- Sum of Y = 15.5
- Mean X = 61
- Mean Y = 3.1
- Sum of squares (SSX) = 34
- Sum of products (SP) = -14.5
- r = -0.9607
Regression Equation = ŷ = bX + a
b = SP/SSX = -14.5/34 = -0.42647
a = MY - bMX = 3.1 - (-0.43*61) = 29.11471
So, the regression equation is
y = -0.42647x + 29.11471
And the correlation coefficient is -0.9607
Read more about regression at:
brainly.com/question/14313391
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. Using your values of x and y, you get 
, which is approximately 9.22. This means your shortest distance is √85≈9.22
