Question
Which of the following best explains the role of an
independent variable in data analysis?Solution
In data analysis, the independent variable represents the input or cause that influences changes in the dependent variable, which is the outcome. By controlling or altering the independent variable, analysts can study its impact on the dependent variable. For example, in a marketing analysis, the budget (independent variable) may be adjusted to observe effects on sales revenue (dependent variable), providing insight into budget effectiveness. This causal relationship allows analysts to understand how different factors influence outcomes. Option A is incorrect as it describes a dependent variable, not an independent one. Option B is incorrect because variables in analysis are often manipulated, not held constant. Option D is incorrect as independent variables significantly affect analysis outcomes. Option E is incorrect as random variables are not independent by definition in this context.
(x – 6) 2 + (y + 2) 2 + (z – 4) 2 = 0, then find the value of 4x - 3y + z.
Given that x = 80, y = -35 and z = -45, Determine the value of [(x³ + y³ + z³)/10³]
If x + y + z = 20, x² + Y² + z² = 160 and x z = y², then find the value of x z?
- If [3a + (1/2a)] = 5, then find the value of [9a² + (1/4a²) - 6]
If x + y + xy = 118, such that x < y and both 'x' and 'y' are positive integers, then find minimum value of (x + y) .
If a + (1/a) = 2, then find the value of (a5 + a3 + 6)/(7a – 5).
(u - 5) 2 + (v + 2) 2 + (w – 4) 2 = 0, then find the value of 4u - v + w.
If x + y = 12 and x² + y² = 74, find xy.
Find the common factor of (x2 - 4x - 12) and (x2 - 14x - 32).
In Δ ABC, ∠ B= 68° and ∠ C 32°. Sides AB and AC are produced to points D and E, respectively. The bisectors of ∠ DBC and ∠...