x | 1 | 2 | 3 | 4 | 5 | 6 |
---|---|---|---|---|---|---|
y | 1007 | 1799 | 2872 | 5027 | 8022 | 13619 |
Use linear regression to find the equation for the linear
function that best fits this data. Round to two decimal
places.
y^( y-hat) = ?
Hint: Enter the data into L1 And L2 then in STAT CALC select 8:LinReg(a+bx)
Sum of X = 21
Sum of Y = 32346
Mean X = 3.5
Mean Y = 5391
Sum of squares (SSX) = 17.5
Sum of products (SP) = 41942
Regression Equation = ŷ = bX + a
b = SP/SSX = 41942/17.5 =
2396.69
a = MY - bMX = 5391 -
(2396.69*3.5) = -2997.4
ŷ = 2396.69X - 2997.4
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