Tag: moving average and variation

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Multiple choice statistics moving averages moving average and variation simple moving average uses of average in day-to-day life introduction to time series introduction to time series and forecasting

Bira and his wife Sheena have two daughters aged $12$ and $16$. Sheena's mother and father, aged $65$ and $72$, also live with them. Bira is currently looking for work, but can't find any. His elder daughter completed class $10$ and prefers to look for work. Sheena prefers to stay at home to look after house works. How many unemployed members does Bira's family have?

  1. $1$
  2. $2$
  3. $3$
  4. $4$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Only Bira and his elder daughter can be called unemployed as per the given situation.

Multiple choice statistics moving averages moving average and variation simple moving average uses of average in day-to-day life introduction to time series introduction to time series and forecasting

A qualitative forecast

  1. predicts the quality of a new product.

  2. predicts the direction, but not the magnitude, of change in a variable.
  3. is a forecast that is classified on a numerical scale from $1$ (poor quality) to $10$ (perfect quality).

  4. is a forecast that is based on econometric methods.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Qualitative forecast is an estimation methodology which uses expert judgment, rather than numerical analysis. It predicts the direction, but not the magnitude of change in variable.

Multiple choice statistics moving averages moving average and variation simple moving average uses of average in day-to-day life introduction to time series introduction to time series and forecasting

Two pipes A and B can fill a tank in 20 and 30 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?

  1. $12 min$
  2. $15 min$
  3. $25 min$
  4. $50 min$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

$\displaystyle \frac{1}{20} + \frac{1}{30} = \frac{1}{x}$
$\displaystyle \frac{5}{60} = \frac{1}{x}     \Rightarrow 12 min$

Multiple choice statistics moving averages moving average and variation simple moving average uses of average in day-to-day life introduction to time series introduction to time series and forecasting

The first step in time-series analysis is to

  1. perform preliminary regression calculations.

  2. calculate a moving average.

  3. plot the data on a graph.

  4. identify relevant correlated variables.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The first step in time series analysis is to plot the data on a graph.

Multiple choice statistics moving averages moving average and variation simple moving average uses of average in day-to-day life introduction to time series introduction to time series and forecasting

In moving average method, we cannot find the trend values of some:

  1. Middle periods

  2. End periods

  3. Starting periods

  4. Between extreme periods
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

In moving average method, we cannot find the trend value of some:between extreme periods.

Multiple choice statistics time series moving average and variation simple moving average

The method of least squares dictates that we choose a regression line where the sum of the square of deviations of the points from the line is: 

  1. Maximum

  2. Minimum

  3. Zero

  4. Positive
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

$\Rightarrow$  The method of least squares dictates that we choose a regression line where the sum of the square of deviations of the points from the line is $:Minimum$

$\Rightarrow$  A process by which we estimate the value of dependent variable on the basis of one or more independent variables is regression.
$\Rightarrow$  More specifically, regression analysis helps one understand how the typical value of the dependent variable (or 'criterion variable') changes when any one of the independent variables is varied, while the other independent variables are held fixed.

Multiple choice statistics time series moving average and variation simple moving average

In simple linear regression, the numbers of unknown constants are: 

  1. One

  2. Two

  3. Three

  4. Four
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

$\Rightarrow$  In simple linear regression, the number of unknown constants are $:Two$

$\Rightarrow$  The line of regression of $y$ on $x$ is given by $y=a+bx$ where $a$ and $b$ are unknown constants known as intercept and slope of the equation. This is used to predict the unknown value of variable $y$ when value of variable $x$ is known.

Multiple choice statistics time series moving average and variation simple moving average

If one regression coefficient is greater than one, then other will be:

  1. Less than one

  2. More than one

  3. Equal to one

  4. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Both the regression coefficients $(b_{xy},b_{yx})$ must have the same sign. i.e., if one of them is positive other should positive or if one of them is negative other should be negative.

If one regression coefficient is greater than one, then other coefficient should be less than one.

Multiple choice statistics time series moving average and variation simple moving average

The purpose of simple linear regression analysis is to: 

  1. Predict one variable from another variable

  2. Replace points on a scatter diagram by a straight-line

  3. Measure the degree to which two variables are linearly associated

  4. Obtain the expected value of the independent random variable for a given value of the dependent

    variable
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The regression model gives the relation between two or more variables.

The linear regression model gives the relation between two or more variables using a straight line.

Using the linear regression analysis we can estimate the value of one variable using another variable. 

Multiple choice statistics time series moving average and variation simple moving average

Ayushi used the data from a scatterplot to determine a regression model showing the relationship between the population in the area where she lived and the number of years, $x$, after she was born. The result was an exponential growth equation of the form $y={x} _{0}{\left(1+r\right)}^{x}$. Then ${x} _{0}$ most likely represents

  1. The population in the year that she was born

  2. The rate of change of the population over time

  3. The maximum population reached during her lifetime

  4. The number of years after her birth when the population reached its maximum
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

In the exponential growth model y = x0(1+r)^x, x0 represents the initial value when x = 0. Since x is the number of years after birth, x = 0 corresponds to the year of birth.