Which statement is true about a trend line? A regression line and a trend line are opposite terms. A regression line and trend line are equivalent terms. A trend line represents only the smallest data points. A trend line represents only the largest data points.
Answers
SOLUTION
TO CHOOSE THE CORRECT OPTION
Which statement is true about a trend line
A regression line and a trend line are opposite terms.
A regression line and trend line are equivalent terms.
A trend line represents only the smallest data points.
A trend line represents only the largest data points.
EVALUATION
Regression line :
If among the two variables x and y in a bivariate distribution, y is taken as dependent variable and x as independent variable then the corresponding regression curve like y = f(x) is known as regression curve of y on x
From this curve we may get approximately the value of the variable y by knowing the variable x
Trend : We know that Trend of a time series is the smooth , regular and long term movement showing the tendency of growth or decline over a period of time
Measurement of trend :
Four commonly used mathematical method for measuring the trend for a time series data
(a) Moving average method
(b) Semi average method
(c) Method of least squares
(d) Free hand curve method
Now the principle of least square states that the best or the most accurate values of the unknowns are those for which the sum of squares of the residues is least
Thus we can conclude that
A regression line and trend line are equivalent terms.
FINAL ANSWER
Hence the correct option is
A regression line and trend line are equivalent terms.
━━━━━━━━━━━━━━━━
Learn more from Brainly :-
Generally, what is the range of coefficient of skewness for data where the mode is ill-defined?(A) 0 to 1 (B) -1 to +1
https://brainly.in/question/26142979
2. if arithmetic mean of a seties is 45 and median is 40 then calculate the value of mode of that series
https://brainly.in/question/31548199
Answer:
b is the answer
Step-by-step explanation: