I in Order to Visualize the Form of the Regression

question 45

Multiple Choice

i. In order to visualize the form of the regression equation, we can draw a scatter diagram. ii. The least squares technique minimizes the sum of the squares of the vertical distances between the actual Y values and the predicted values of Y.
iii. In regression analysis, the predicted value of Y' rarely agrees exactly with the actual Y value, i.e., we expect some prediction error.

• A) (i), (ii), and (iii) are all correct statements.
• B) (i) and (ii) are correct statements but not (iii).
• C) (i) and (iii) are correct statements but not (ii).
• D) (ii) and (iii) are correct statements but not (i).
• E) (i), (ii), and (iii) are all false statements.

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Definitions:

Dependent Variable

The outcome variable in an experiment or study whose changes are determined by the presence or variation of one or more independent variables.

Linear Trend Model

A statistical model that attempts to describe a linear relationship between two or more variables using a straight line.

Quadratic Trend Model

A model used in time series analysis that represents data with a parabolic trend, implying that the rate of change is not constant but accelerates or decelerates over time.

Seasonal Indexes

Factors used to adjust data for seasonal effects, allowing for more accurate analysis of trends over time.