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Sagot :
The equation of the regression of grades on scores is y = 0.003x + 1.645
The mean of the sat scores = 485
The standard deviation = 85
The average college gpa = 3.1
The standard deviation = 0.4
The correlation between sat scores and college grades = 0.71
The regression equation is
y = mx + b
The value of m = (0.71) × (0.4/85)
= 0.003
Substitute the values in the regression equation and find the value of b
3.1 = 0.003×485 + b
3.1 = 1.455 + b
b = 3.1 - 1.455
b = 1.645
The equation is
y = 0.003x + 1.645
Therefore, the regression equation is y = 0.003x + 1.645
Learn more about regression equation here
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