eight pairs of data yield the regression equation y^1=55.8+2.79x. What is the value of y for x=5.6?
To find the value of y for x=5.6 using the regression equation y^1=55.8+2.79x, we substitute x=5.6 into the equation:
y^1 = 55.8 + 2.79(5.6)
= 55.8 + 15.624
≈ 71.424
Therefore, the value of y for x=5.6 is approximately 71.424.
To find the value of y for a given value of x using the regression equation, simply substitute the value of x into the equation and compute the result.
In this case, the regression equation is given as y^1 = 55.8 + 2.79x, and you want to find the value of y when x = 5.6.
Substituting x = 5.6 into the equation:
y^1 = 55.8 + 2.79(5.6)
= 55.8 + 15.624
= 71.424
Therefore, when x = 5.6, the value of y is approximately 71.424.