Which equation best represents the relationship between x and y in the table below? x 1 2 3 45
y 6 9 14 21 30
y
=
2
x
+
5

y = 2 x + 5

y
=
3
x
+
3

y = 3 x + 3

y
=
x
2
+
5

y = x 2 + 5

y
=
2
x
2
−
4

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Step-by-step explanation:

In agricultural research we are often interested in describing the change in one variable

(Y, the dependent variable) in terms of a unit change in a second variable (X, the independent

variable). Regression is commonly used to establish such a relationship. A simple linear

regression takes the form of

Y$ = a + bx

where is the predicted value of Y for a given value of X, a estimates the intercept of the

regression line with the Y axis, and b estimates the slope or rate of change in Y for a unit change

in X.

Y$

The regression coefficients, a and b, are calculated from a set of paired values of X and

Y. The problem of determining the best values of a and b involves the principle of least squares.

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step-by-step explanation: