Select the statements that are true of the population regression line. The population regression lineA. is defined in terms of t
1 answer:
Answer:
Correct statements are: (A), (B) and (C).
Step-by-step explanation:
A population regression line is of the form:
Here:
<em>Y </em>= response variable
<em>X</em> = explanatory variable
<em>β₀</em> = intercept
<em>β₁</em> = slope
ε = error term
The population parameters are <em>β₀</em> and <em>β₁</em>.
The mean value of the response variable has a straight line relationship with the explanatory variables.
The value of the response variable can be computed using the explanatory variable values.
The population regression line is computed using the population data values.
Thus, the statements correct about the population regression line are (A), (B) and (C).
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Given:
The figure of a quadrilateral ABCD.
To find:
The perimeter of the quadrilateral ABCD.
Solution:
In an isosceles triangle, the two sides and base angles are congruent.
In triangle ABD,
[Given]
is an isosceles triangle [Base angle property]
[By definition of isosceles triangles]
...(i)
In triangle BCD,
[Given]
All interior angles of the triangle BCD are congruent, so the triangle BCD is an equilateral triangle and all sides of the triangle area equal.
[Using (i)] ...(ii)
Now, the perimeter of quadrilateral ABCD is:
Therefore, the perimeter of the quadrilateral ABCD is 35 units.
Explanation:
The line through the data points has a negative slope, showing that y is <em>negatively correlated</em> with x. The "inversely proportional" relationship means the product of x and y is a constant. It produces a curved graph like the one attached.
