Linear Regression MCQs Type Questions with Answer for ISC Class 12

Linear Regression MCQs Type Questions with Answer for ISC Class 12 . These MCQs / Objective Type Questions is based on latest reduced syllabus according 2021-22 session on bifurcated pattern. Main motto of MCQ Type Question is cracking the next upcoming Sem-2 exam of council. Visit official website CISCE for detail information about ISC Class-12 Maths.

 ISC Class 12 Linear Regression MCQs Type Questions with Answer

Board	ISC
Class	12th (XII)
Subject	Maths
Chapter	Linear Regression
Syllabus	on bifurcated syllabus (after reduction)
Session	2021-22
Bifurcated	Sem-2
Topic	MCQs / Objective Type Question

ISC Linear Regression MCQs for Class 12 Questions with Answers

Question 1:  Which of the following statements is true about the regression line?

a. A regression line is also known as the line of the average relationship

b. A regression line is also known as the estimating equation

c. A regression line is also known as the prediction equation

d. All of the above

Answer: d. All of the above

Question 2: If the coefficient of determination is 0.81, the correlation coefficient

a. is 0.6561
b. could be either + 0.9 or – 0.9
c. must be positive
d. must be negative

Answer: b. could be either + 0.9 or – 0.9

Question 3: The correlation coefficient is used to determine:

a. A specific value of the y-variable given a specific value of the x-variable
b. A specific value of the x-variable given a specific value of the y-variable
c. The strength of the relationship between the x and y variables
d. None of these

Answer: c. The strength of the relationship between the x and y variables

Question 4:  Which of the following statements is true about the correlational analysis between two sets of data?

a. The correlational analysis between two sets of data is known as a simple correlation

b. The correlational analysis between two sets of data is known as multiple correlation

c. The correlational analysis between two sets of data is known as partial correlation

d. None of the above

Answer: a. The correlational analysis between two sets of data is known as a simple correlation

Question 5: The relationship between number of beers consumed (x) and blood alcohol content (y) was studied in 16 male college students by using least squares regression. The following regression equation was obtained from this study:

!= -0.0127 + 0.0180x

The above equation implies that:

a. each beer consumed increases blood alcohol by 1.27%
b. on average it takes 1.8 beers to increase blood alcohol content by 1%
c. each beer consumed increases blood alcohol by an average of amount of 1.8%
d. each beer consumed increases blood alcohol by exactly 0.018

Answer: c. each beer consumed increases blood alcohol by an average of amount of 1.8%

Question 6: Regression modeling is a statistical framework for developing a mathematical equation that describes how

a. one explanatory and one or more response variables are related
b. several explanatory and several response variables response are related
c. one response and one or more explanatory variables are related
d. All of these are correct.

Answer: c. one response and one or more explanatory variables are related

Question 7:  Which of the following statements is true about the arithmetic mean of two regression coefficients?

a. It is less than the correlation coefficient

b. It is equal to the correlation coefficient

c. It is greater than or equal to the correlation coefficient

d. It is greater than the correlation coefficient

Answer: d. It is greater than the correlation coefficient

Question 8:  What is the meaning of the testing of the hypothesis?

a. It is a significant estimation of the problem

b. It is a rule for acceptance or rejection of the hypothesis of the research problem

c. It is a method of making a significant statement

d. None of the above

Answer: b. It is a rule for acceptance or rejection of the hypothesis of the research problem

Question 9:  Which of the following statements is true about the level of significance?

a. In testing a hypothesis, we take the level of significance as 2% if it is not mentioned earlier

b. In testing a hypothesis, we take the level of significance as 1% if it is not mentioned earlier

c. In testing a hypothesis, we take the level of significance as 10% if it is not mentioned earlier

d. In testing a hypothesis, we take the level of significance as 5% if it is not mentioned earlier

Answer: a. In testing a hypothesis, we take the level of significance as 2% if it is not mentioned earlier

Question 10: In least squares regression, which of the following is not a required assumption about the error term ε?

a. The expected value of the error term is one.
b. The variance of the error term is the same for all values of x.
c. The values of the error term are independent.
d. The error term is normally distributed.

Answer: a. The expected value of the error term is one.

Question 11: Larger values of r² (R²) imply that the observations are more closely grouped about the

a. average value of the independent variables
b. average value of the dependent variable
c. least squares line
d. origin

Answer: c. least squares line

Question 12: In a regression analysis if SSE = 200 and SSR = 300, then the coefficient of determination is

a. 0.6667
b. 0.6000
c. 0.4000
d. 1.5000

Answer: b. 0.6000

Question 13: The coefficient of correlation

a. is the square of the coefficient of determination
b. is the square root of the coefficient of determination
c. is the same as r-square
d. can never be negative

Answer: b. is the square root of the coefficient of determination

Question 14:  In regression analysis, the variable that is used to explain the change in the outcome of an experiment, or some natural process, is called

a. the x-variable
b. the independent variable
c. the predictor variable
d. the explanatory variable
e. all of the above (a-d) are correct

Answer: e. all of the above (a-d) are correct

Question 15:  In the case of an algebraic model for a straight line, if a value for the x variable is specified, then

a. the exact value of the response variable can be computed
b. the computed response to the independent value will always give a minimal residual
c. the computed value of y will always be the best estimate of the mean response
d. none of these alternatives is correct.

Answer: a. the exact value of the response variable can be computed

Question 16: SSE can never be

a. larger than SST
b. smaller than SST
c. equal to 1
d. equal to zero

Answer: a. larger than SST

Question 17: A regression analysis between sales (in $1000) and price (in dollars) resulted in the following equation:
! = 50,000 – 8X

The above equation implies that an

a. increase of $1 in price is associated with a decrease of $8 in sales
b. increase of $8 in price is associated with an increase of $8,000 in sales
c. increase of $1 in price is associated with a decrease of $42,000 in sales
d. increase of $1 in price is associated with a decrease of $8000 in sales

Answer: d. increase of $1 in price is associated with a decrease of $8000 in sales

Question 18: In a regression analysis if r² = 1, then

a. SSE must also be equal to one
b. SSE must be equal to zero
c. SSE can be any positive value
d. SSE must be negative

Answer: b. SSE must be equal to zero

Question 19: In regression analysis, the variable that is being predicted is the

a. response, or dependent, variable
b. independent variable
c. intervening variable
d. is usually x

Answer: a. response, or dependent, variable

Question 20:  The independent variable is used to explain the dependent variable in ________.

a. Linear regression analysis

b. Multiple regression analysis

c. Non-linear regression analysis

d. None of the above

Answer: a. Linear regression analysis

Question 21: Regression analysis was applied to return rates of sparrowhawk colonies. Regression analysis was used to study the relationship between return rate (x: % of birds that return to the colony in a given year) and immigration rate (y: % of new adults that join the colony per year). The following regression equation was obtained.

! = 31.9 – 0.34x

Based on the above estimated regression equation, if the return rate were to decrease by 10% the rate of immigration to the colony would:

a. increase by 34%
b. increase by 3.4%
c. decrease by 0.34%
d. decrease by 3.4%

Answer: b. increase by 3.4%

Question 22: If two variables, x and y, have a very strong linear relationship, then

a. there is evidence that x causes a change in y
b. there is evidence that y causes a change in x
c. there might not be any causal relationship between x and y
d. None of these alternatives is correct.

Answer: c. there might not be any causal relationship between x and y

Question 23:  The original hypothesis is known as ______.

a. Alternate hypothesis

b. Null hypothesis

c. Both a and b are incorrect

d. Both a and b are correct

Answer: b. Null hypothesis

Question 24: If the coefficient of determination is equal to 1, then the correlation coefficient

a. must also be equal to 1
b. can be either -1 or +1
c. can be any value between -1 to +1
d. must be -1

Answer: b. can be either -1 or +1

Question 25: In regression analysis, if the independent variable is measured in kilograms, the dependent variable

a. must also be in kilograms
b. must be in some unit of weight
c. cannot be in kilograms
d. can be any units

Answer: d. can be any units

Question 26: The data are the same as for question 4 above. The relationship between number of beers consumed (x) and blood alcohol content (y) was studied in 16 male college students by using least squares regression. The following regression equation was obtained from this study:

!= -0.0127 + 0.0180x

Suppose that the legal limit to drive is a blood alcohol content of 0.08. If Ricky consumed 5 beers the model would predict that he would be:

a. 0.09 above the legal limit
b. 0.0027 below the legal limit
c. 0.0027 above the legal limit
d. 0.0733 above the legal limit

Answer: b. 0.0027 below the legal limit

Question 27:  Which of the following statements is true about the type two error?

a. Type two error means to accept an incorrect hypothesis

b. Type two error means to reject an incorrect hypothesis

c. Type two error means to accept a correct hypothesis

d. Type two error means to reject a correct hypothesis

Answer: a. Type two error means to accept an incorrect hypothesis

Question 28: If the correlation coefficient is 0.8, the percentage of variation in the response variable explained by the variation in the explanatory variable is

a. 0.80%
b. 80%
c. 0.64%
d. 64%

Answer: d. 64%

Question 29: If the correlation coefficient is a positive value, then the slope of the regression line

a. must also be positive
b. can be either negative or positive
c. can be zero
d. can not be zero

Answer: a. must also be positive

Question 30: In a regression and correlation analysis if r² = 1, then

a. SSE = SST
b. SSE = 1
c. SSR = SSE
d. SSR = SST

Answer: d. SSR = SST

Question 31: If the coefficient of determination is a positive value, then the regression equation

a. must have a positive slope
b. must have a negative slope
c. could have either a positive or a negative slope
d. must have a positive y intercep

Answer: c. could have either a positive or a negative slope

Question 32: A fitted least squares regression line

a. may be used to predict a value of y if the corresponding x value is given
b. is evidence for a cause-effect relationship between x and y
c. can only be computed if a strong linear relationship exists between x and y
d. None of these alternatives is correct.

Answer: a. may be used to predict a value of y if the corresponding x value is given

Question 33:  Regression analysis was applied between $ sales (y) and $ advertising (x) across all the branches of a major international corporation. The following regression function was obtained.

! = 5000 + 7.25x

If the advertising budgets of two branches of the corporation differ by $30,000, then what will be the predicted difference in their sales?

a. $217,500
b. $222,500
c. $5000
d. $7.25

Answer: a. $217,500

Question 34:  Suppose the correlation coefficient between height (as measured in feet) versus weight (as measured in pounds) is 0.40. What is the correlation coefficient of height measured in inches versus weight measured in ounces? [12 inches = one foot; 16 ounces = one pound]

a. 0.40
b. 0.30
c. 0.533
d. cannot be determined from information given

e. none of these

Answer: a. 0.40

Question 35:  Assume the same variables as in question 28 above; height is measured in feet and weight is measured in pounds. Now, suppose that the units of both variables are converted to metric (meters and kilograms). The impact on the slope is:

a. the sign of the slope will change
b. the magnitude of the slope will change
c. both a and b are correct
d. neither a nor b are correct

Answer: b. the magnitude of the slope will change

Question 36: If there is a very strong correlation between two variables then the correlation coefficient must be

a. any value larger than 1
b. much smaller than 0, if the correlation is negative
c. much larger than 0, regardless of whether the correlation is negative or positive
d. None of these alternatives is correct.

Answer: b. much smaller than 0, if the correlation is negative

Question 37: In regression, the equation that describes how the response variable (y) is related to the explanatory variable (x) is:

a. the correlation model
b. the regression model
c. used to compute the correlation coefficient
d. None of these alternatives is correct.

Answer: b. the regression model

Question 38:  Which of the following statements is true about the null hypothesis?

a. Any wrong decision related to the null hypothesis results in two types of errors

b. Any wrong decision related to the null hypothesis results in one type of an error

c. Any wrong decision related to the null hypothesis results in four types of errors

d. Any wrong decision related to the null hypothesis results in three types of errors

Answer: a. Any wrong decision related to the null hypothesis results in two types of errors

–: End of Linear Regression MCQs Type with Answer for ISC Class 12  :–