The intercept a describes? A). The amount variance accounted for B). The estimat

Question

The intercept a describes?
A). The amount variance accounted for B). The estimated difference in response variable (y) if the explanatory variable (x) is one unit larger. C). The correlation between x and y. D). The average outcome when the explanatory variable (x) is equal to zero. The intercept a describes?
A). The amount variance accounted for B). The estimated difference in response variable (y) if the explanatory variable (x) is one unit larger. C). The correlation between x and y. D). The average outcome when the explanatory variable (x) is equal to zero.
A). The amount variance accounted for B). The estimated difference in response variable (y) if the explanatory variable (x) is one unit larger. C). The correlation between x and y. D). The average outcome when the explanatory variable (x) is equal to zero.

Explanation / Answer

answer is option D

we know that the regression equation is y = a + bx

where a is intercept and b is slope.

when we put x = 0, then we have the following equation , y = a + b*0 = a +0 = a

so, the intercept is the outcome when the explanatory variable x is equal to 0

thus, only option D is correct.

option A is incorrect because b never account for variance

option B is incorrect because we can't find out the value of b when the x value is one unit as the equation becomes y = a + b*1 = a+b, so this is an equation of a and b, but not only a

option C is incorrect because the correlation between x and y is denoted by r which is not a part of the regression equation.

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.