Explanation

In the presence of multicollinearity, the OLS estimator will still be consistent unbiased and efficient.

Explanation

• Simple correlation, also known as Pearson's r.
• It is a statistical technique used to measure the strength and direction of the linear relationship between two continuous variables, X and Y.
• It is called "simple" because it involves only two variables.

Explanation

• The coefficient of correlation (ρ) is a measure of the linear relationship between two variables.
• It is a dimensionless quantity, which means that it is unaffected by changes in the scale or units of the variables.

Explanation

Design of experiments (DOE) is commonly used to:

• Develop new processes
• Improve existing processes
• Optimize process parameters
• Reduce variability
• Improve product quality

Explanation

• Multiple regression is a statistical technique that examines the relationship between a dependent variable (outcome variable) and two or more independent variables (predictor variables).
• It helps to predict the value of the dependent variable based on the values of the independent variables.

Explanation

She is going to quit her job unless they give her a pay rise.

وہ اپنی نوکری چھوڑ دے گی جب تک کہ وہ اسے تنخواہ میں اضافہ نہ کریں۔

"We use 'unless' to express a condition.

It means if the company doesn't give her a pay raise, she'll quit."

Explanation

The probability that a randomly selected family from the 400 families owns the house, given that 300 of them own houses, is: 0.75.

Explanation

• Two mutually exclusive events are dependent.
  
• If one event occurs, it completely affects the occurrence of the other, meaning the other event cannot occur, which makes them dependent in this context.

Explanation

The variance of a sample is calculated as the square of the standard deviation. Since the standard deviation is 64, the variance is:

Variance = σ^2 = 64^2 = 4096

So, the correct answer is 4096.

Explanation

• A boom is a period of maximum production, high demand, and rapid economic growth.
• It's a time of high economic activity and prosperity.