Chapter 5: Regression Analysis — Online MCQ Test
STATISTICS · CLASS 12th · Tamil Nadu State Board
Practice Chapter 5: Regression Analysis with a free chapter-wise online MCQ test.
This chapter covers: This chapter details linear regression models estimation of regression equations and calculation of regression coefficients. Students examine properties of regression lines predict....
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Chapter 5: Regression Analysis — Important Questions & Answers
What is the main purpose of regression analysis?
- A. To measure the exact equality between two variables
- B. To estimate the relationship and predict one variable from another
- C. To classify data into groups
- D. To find the median of a dataset
Answer: B. To estimate the relationship and predict one variable from another
Regression analysis is used to study the functional relationship between variables and to predict the value of one variable based on another.
Regression analysis is used to study the functional relationship between variables and to predict the value of one variable based on another.
The regression line of y on x is generally written in the form:
- A. y = a + bx
- B. x = a + by
- C. y = ax + b²
- D. xy = a + b
Answer: A. y = a + bx
The regression line of y on x is expressed as y = a + bx, where a is the intercept and b is the regression coefficient.
The regression line of y on x is expressed as y = a + bx, where a is the intercept and b is the regression coefficient.
Which of the following is NOT a property of regression coefficients?
- A. Regression coefficients are independent of change of origin
- B. Regression coefficients are independent of change of scale
- C. Both regression coefficients have the same sign as the correlation coefficient
- D. Regression coefficients can be used for prediction
Answer: B. Regression coefficients are independent of change of scale
Regression coefficients are independent of change of origin but not of change of scale. Their values change if the units of measurement change.
Regression coefficients are independent of change of origin but not of change of scale. Their values change if the units of measurement change.
Which statement is correct about regression coefficients when r = 1 or r = -1?
- A. Both regression coefficients must be zero
- B. Both regression lines coincide
- C. The two regression coefficients have opposite signs
- D. Only one regression coefficient exists
Answer: B. Both regression lines coincide
When |r| = 1, there is perfect correlation and the two regression lines coincide into one straight line.
When |r| = 1, there is perfect correlation and the two regression lines coincide into one straight line.
Which of the following is the most appropriate interpretation of the regression coefficient?
- A. It shows the total variation in x and y
- B. It measures the average change in the dependent variable for a unit change in the independent variable
- C. It gives the probability of correlation
- D. It is always between -1 and 1
Answer: B. It measures the average change in the dependent variable for a unit change in the independent variable
A regression coefficient represents the average rate of change of one variable with respect to another. It is not restricted to lie between -1 and 1.
A regression coefficient represents the average rate of change of one variable with respect to another. It is not restricted to lie between -1 and 1.