Combining relationships suppose that x1nbsp2x2- 4 so that, Ask an Expert

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Combining relationships. Suppose that x₁=2x₂- 4 so that x₁ and x₂ are positively correlated. Let y =3x₂ + 4 so that y and x₂are positively correlated.

(a) Use the relationship between x₁ and x₂ to find the linear relationship between y and x₁. Are y and x₁positively correlated?

(b) Add the equations x₁= 2x₂- 4 and y =3x₂ + 4 together and solve for y to obtain an equation relating y to both x₁ and x₂. Are the coefficients of both x's positive? Combining explanatory variables that are correlated can produce surprising results.

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