Question
Which of the following is an example of an independent
variable in a data analysis model that predicts employee productivity based on training hours?Solution
In data analysis, an independent variable is one that is manipulated or varied to observe its effect on a dependent variable. Here, “Employee training hours” is the independent variable as it is the factor being analyzed for its impact on productivity. The model aims to measure how varying training hours might affect employee productivity, where productivity is the dependent variable (the outcome). Independent variables in such models are critical as they help determine the causes or influences on the outcome, assisting in decisions around resource allocation, training programs, and employee performance enhancement strategies. The other options are incorrect because: • Employee productivity scores (Option 1) represent the dependent variable, the outcome being predicted. • Total company revenue (Option 2) does not directly relate to individual employee productivity in this context. • Number of company locations (Option 4) is unrelated to employee productivity and would not vary based on the training hours. • Data collection method (Option 5) is not an independent variable in this analysis model but part of the procedural framework.


If the sum of the coefficients in the expansion of (a + b)n is 16384, then the greatest coefficient in the expansion is
Find both the maximum value and the minimum value respectively of 3a4 minus; 8a3 + 12a2 minus; 48a + 25 on the interval...

The perimeter of a rectangular field is 34 metres and its area is 60 m2 . What is the length of the diagonal of this field?
Find the coefficient of x⁴ in (2x – 3/x)⁶.
The coefficients of ap and aq in the expression of (1 + a)p+q are
(i) Equal
(ii) Equal with opposite sign...
If the sum of the coefficients of all even powers of x in the product (1 + x + x2 + … + x2n) (1 – x + x2 – x...