Which of the following statements are true?
A) The simplest deterministic mathematical relationship between two variables x and y is a linear relationship $y = \beta _ { 0 } + \beta _ { 1 } x$
B) The set of pairs (x, y) for which $y = \beta _ { 0 } + \beta _ { 1 } x$
Determines a straight line with slope $\beta _ { 1 }$
And y-intercept $\beta _ { 0 }$
)
C) The slope of a line $y = \beta _ { 0 } + \beta _ { 1 } x$
Is the change in y per a 1-unit increase in x.
D) The y-intercept of a line $y = \beta _ { 0 } + \beta _ { 1 } x$
Is the height at which the line crosses the vertical axis and is obtained by setting x = 0 in the equation.
E) All of the above statements are true.

Question

Quizplus · Accepted Answer

All of the statements provided are true regarding the characteristics of a linear relationship in the form $y = \beta _ { 0 } + \beta _ { 1 } x$, including the definition of a linear relationship, the geometric interpretation of the coefficients as slope and y-intercept, and how these coefficients affect the line's position and orientation on a graph.

Which of the Following Statements Are True? A) the Simplest y=β0+β1xy = \beta _ { 0 } + \beta _ { 1 } xy=β0​+β1​x

Which of the Following Statements Are True?
A) the Simplest $y = \beta _ { 0 } + \beta _ { 1 } x$