In a statistics course, a linear regression equation was computed to predict the final-exam score from the score on the first test. The regression line yhat = 3 + 2x has been fitted to the data points (4,8), (2,5), and (1,2). Linear Regression is still the most prominently used statistical technique in data science industry and in academia to explain relationships between features. Why is multicollinearity a potential problem in a multiple linear regression? This implies that an: The number of degrees of freedom associated with the standard error of estimate is e) -1.4 mean square due to error ? Which one would appear to be incorrect? If the sum of squares due to regression (SSR) is 60, which of the following must be true? 51. [Skip Breadcrumb Navigation]: [Skip Breadcrumb Navigation] Home: Chapter 13 : No Frames Version Multiple Regression. Answer choice B was an exponential regression results. 2. In simple linear regression, the coefficient of correlation r and the least squares estimate of the population slope : An indication of no linear relationship between two variables would be: a) regression coefficient c) +0.90 An indication of no linear relationship between two variables would be: a coefficient of determination equal to 1. a coefficient of determination equal to -1. a coefficient of correlation equal to -1. The residual sum of squares will be: The vertical spread of the data points about the regression line is measured by the: The solution gives detailed answers on 20 statistical multiple choice questions including the topics of regression analysis. Rating: A 176 Answered. d) coefficient of determination is between -1 and 1 Linear Regression Multiple Choice Questions Multiple Choice Questions on Regression Analysis Multiple choice question on rergerssion analysis 30 Multiple Choice Problems in Statistics Statistics Multiple Choice Question and Answer Multiple choice questions on hypothesis testing,regression Questions of Algebra dealing with probability, etc. d) n-2 since the slope and the intercept are estimated from sample data c) 0.47 c) The y-intercept is positive MULTIPLE CHOICE QUESTIONS. For the values of the coefficient of determination listed below, which one implies the greatest value of SSR (regression sum of squares) given that SST = 500? (ii) In fact Karen collected £22. Toggle nav . ... Logistic regression assumes a: Answer choices. This means that the coefficient of determination (r^2) must equal: Which of the following statements is true regarding the simple linear regression model y sub i = beta sub 0 + beta sub 1 * x sub i + epsilon sub i: y sub i is a value of the dependent variable (y) and x sub i is a value of the independent variable (x). multiple coefficient of determination ? ____________________ provides a "best-fit" mathematical equation for the values of two variables, x and y. 33. 15. Simple Linear Regression Multiple Choice Question Submitted by Mushayyed Muhammad Ali Khan Tamoor Ahmed 18 MS PT AMD 13 18 MS PT AMD 24 1 A regression analysis a) 2.228 A regression analysis between weight (y in pounds) and height (x in inches) resulted in the following least squares line: yhat = 120 + 5x. Which of the following t-table values listed below would be used? In a simple linear model, testing whether the slope of the population regression line is zero is the same as testing whether or not the population ____________________ equals zero. e) Both "A" and "B" are correct The Linear Model (Regression) » Multiple choice questions. Which of the following table values would be appropriate for a 95% confidence interval for the mean of y from a simple linear regression problem if the sample size is 7? If the coefficient of correlation r is positive, then the dependent variable and the independent variable x are said to be ____________________ related. The simple linear regression model assumes that for any given value of x, the population of residuals will be normally distributed with a mean of zero and a standard deviation of 1. c) y-intercept Free download in PDF Regression Multiple Choice Questions and Answers for competitive exams. b) 15 All of the values of an independent variable equal the same number. An instructor wants to show the students that there is a linear correlation between the number of hours they spent watching TV during a certain weekend and their scores on a test taken the following Monday. d) 3240 e) 1.0 46. One way to examine whether two variables might be linearly related is to construct a ______________________________. a) 0.0 c) 90% of the x values are equal a) 2916 Multiple choice questions. e) 1.960 b) increase $5 in advertising is expected to result in an increase of $5,000 in sales = 120 - 10 X b) is the y-intercept of the regression line c) 0.28 b) coefficient of correlation is 0 Multiple linear regression (MLR), also known simply as multiple regression, is a statistical technique that uses several explanatory variables to predict the outcome of a … c) increase by 5 pounds This implies that if the height is increased by 1 inch, the weight is expected to: 39. a) 10 If the coefficient of correlation is either ____________________ or ____________________, then the regression line will actually include all of the data points and the line will be a perfect fit. 28. a) 0.95 5 Questions which can teach you Multiple Regression (with R and Python) 7 Types of Regression Techniques you should know. ______________________________ measures the strength of the relationship between the dependent and independent variables. b) The total sum of squares (SST) is at least 60 48. In regression and correlation analysis, if SSE and SST are known, then with this information the, coefficient of determination can be computed. d) 1.812 Questions of Algebra dealing with probability, etc. © 2012-2021 MindCoral Inc. All Rights Reserved. The value for SSE equals zero. The residual sum of squares will be: a) random error A specific value of the y-variable given a specific value of the x-variable b. b) decrease by 1 pound It was specially designed for you to test your knowledge on linear regression techniques. more than one independent variable ? 44. a) nominal or ordinal The coefficient of determination is 0.81. c) homoscedasticity only one independent variable ? e) t-ratio Multiple Choice. d) decrease by 24 pounds Correlation analysis requires that the scales of measurement be expressed in either: [Skip Breadcrumb Navigation]: [Skip Breadcrumb Navigation] Home: Chapter 12 : No Frames Version Simple Linear Regression. The coefficient of determination can be described in terms of the total variation in y versus the unexplained variation in y. The simple linear regression model assumes that regardless of the value for x, the standard deviation of the distribution of y values about the regression line is the same. d) pooled variances This Section contains Multiple Choice Questions (MCQs) about Correlation Analysis, Simple Regression Analysis, Multiple Regression Analysis, Coefficient of Determination (Explained Variation), Unexplained Variation, Model Selection Criteria, Model Assumptions, Interpretation of results, Intercept, Slope, Partial Correlation, Significance tests, OLS Assumptions, Multicollinearity, Heteroscedasticity, … a) strength of the relationship between x and y 5. 40. 45. 23. b) must be -1.0 Regardless of the value of x, the standard deviation of the distribution of y values about the regression line is the same. Here is the leaderbo… d) coefficient of determination b) -0.8 Another name for the residual term in a regression equation is: a) nominal or ordinal Linear regression multiple choice questions. LINEAR REGRESSION: REGRESSION quiz_reg_linear.doc 2 4. b) heteroscedasticity 26. d) decrease by 24 pounds a) ŷ = b 0 + b 1 x + b 2 x 2. b ... a) Leptokracy b) Homoscedacity c) Heteroscedacity d) Covariance Question 5 Residual plot in regression analysis is used to mean. 52. 4. b) n-1 since only the intercept is estimated from sample data d) pooled variances The main drawback of using multiple regression over simple regression is: A.) 4. 1. 19. b) ordinal or ratio We can measure the proportion of the variation explained by the regression model by: a) r b) R. 2c) σ d) F. 3. 38. more than one dependent variable ? 29. Answer choice C is the linear regression results. Full key provided. 11. For a given data set of (x,y) values, an infinite number of possible regression equations can be fitted to the corresponding scatter diagram, and each equation will have a unique combination of values for the y-intercept b0 and the slope b1. The value for SSE equals zero. The simple linear regression model assumes that the y values are statistically independent of each other but the residuals are statistically dependent of each other. a) confidence interval b) -1.00 a) 0.91 Multiple Choice; Site Navigation; Navigation for Multiple Regr multiple estimates are usually less efficient than simple estimates B.) An ANOVA test based on SST and SSR is equivalent to t-test for the coefficient of correlation and the slope. beta sub 0 is the y-intercept of the regression line. none of the above; A measure of goodness of fit for the estimated regression equation is the ? multiple estimates usually have a higher variance than simple estimates C.) multiple estimates are more susceptible to bias than simple estimates D.) both A … 24. When the predicted values of y and the actual values of y are the same, the standard error of estimate will be 0.0. This implies that if advertising is $800, then the predicted amount of sales (in dollars) is: Correlation analysis is used to determine the: Linear relationship between continuous predictor variables and the outcome variable. Given the least squares regression line yhat = -2.88 + 1.77x, and a coefficient of determination of 0.81, the coefficient of correlation is: Which of the following t-table values listed below would be used? If the sum of squares due to regression (SSR) is 60, which of the following must be true? In the sample regression line y-hat = b0 + b1x, the term b0 is the y-intercept; this is the value of y where the line intersects the y-axis whenever x = 0. Use the … A regression analysis between sales (in $1000) and advertising (in $) resulted in the following least squares line: yhat = 80,000 + 5x. 27. 3. b) +0.88 ... A biologist assumes that there is a linear relationship between the amount of fertilizer supplied to ... Use your regression equation to estimate the amount Karen collected. d) actual value of x and the estimated value of y c) homoscedasticity b) must have opposite signs Multiple choice questions on Correlation and Regression. c) must have the same sign In multiple regression with p predictor variables, when constructing a confidence interval for any β i, the degrees of freedom for the tabulated value of t should be: 52. b) least squares estimates of the regression parameters c) interval or ratio The equation was ŷ = 10 + 0.9x where ŷ is the final-exam score and x is the score on the first test. The correlation coefficient is used to determine: a. For a given value of x, the estimation interval for an individual y observation is called the: A regression analysis between sales (in $1000) and advertising (in $100) resulted in the following least squares line: y hat = 75 +6x. a) n-1 since only the slope is estimated from sample data c) coefficient of correlation is 1 Chapter 15 - Multiple choice quiz. The regression line y hat = 3 + 2x has been fitted to the data points (4,8), (2,5), and (1,2). The simple linear regression model assumes that the y values are statistically independent of each other but the residuals are statistically dependent of each other. x 1 10 20 30 40 y 1 100 400 600 1200 They each come up with four different answers for the straight line regression model. b) heteroscedasticity Once you have completed the test, click on 'Submit Answers' to get your results. a) increase of $1 in advertising is expected to result in an increase of $5 in sales a) random error The symbol for the independent variable is ____________________ and the symbol for the dependent variable is ____________________. a) random error d) is a random error, or residual A quadratic regression produced the strongest correlation coefficient and coefficient of determination. e) standard error of estimate This implies that if advertising is $800, then the predicted amount of sales (in dollars) is: may be used to predict a value of y if the corresponding x value is given, implies a cause-effect relationship between x and y, can only be determined if a good linear relationship exists between x and y. beta sub 1 is the slope of the regression line. Multiple Choice; Site Navigation; Navigation for Simple L In the following multiple-choice questions, select the best answer. c) 1800 b) 2592 This implies that if the height is increased by 1 inch, the weight is expected to: b) increase $5 in advertising is expected to result in an increase of $5,000 in sales c) $487,500 Correlation analysis provides us with two important measures of the strength: (1) the coefficient of ____________________ and (2) the coefficient of ____________________. {Real Estate Builder Narrative} When the builder used a simple linear regression model with house size as the dependent variable and education as the independent variable,he obtained an R-square value of 23.0%.What additional percentage of the total variation in house size has been explained by including family size and income in the multiple regression? 35. The least-squares criterion requires that the sum of the squared deviations between the y values in the scatter diagram and the y values predicted by the equation be minimized. 1. d) a coefficient of correlation equal to -1 a) 90% of the y values are positive In a regression problem, if the coefficient of determination is 0.90, this means that: A multiple regression model has ? 36. For a given value of x, the estimation interval for an individual y observation is called the: c) 0.9 A regression analysis between weight (y in pounds) and height (x in inches) resulted in the following least squares line: yhat = 120 + 5x. We segregated the Linear Regression Interview Questions on the basis of fundamental, complex and multiple-choice questions. c) interval or ratio Given the least squares regression line y hat = -2.88 + 1.77x, and a coefficient of determination of 0.81, the coefficient of correlation is: The residual is defined as the difference between the: actual value of y and the estimated value of y. actual value of x and the estimated value of x. actual value of y and the estimated value of x. actual value of x and the estimated value of y. Regression analysis was applied between demand for a product (Y) and the price of the product (X), and the following estimated regression equation was obtained. b) 2.306 Multiple Choice Quiz. 50. You are almost guaranteed to encounter one free response question about correlation and/or linear regression on the AP Statistics exam. Only one is correct. This activity contains 15 questions. In a regression analysis, the error term ? a) a coefficient of determination equal to 1 In a linear regression problem, we are using “R-squared” to measure goodness-of-fit. A total of 1,355 people registered for this skill test. d) 0.00 c) actual value of y and the estimated value of x 12. d) $12,300 Another name for the residual term in a regression equation is: Ibrahim Abdellah 1. These short objective type questions with answers are very important for Board exams as well as competitive exams. c) n-1 since only the predicted value of y is estimated from sample data 50. In publishing the results of some research work, the following values of the coefficient of determination were listed. predicted value of y for a given value of x. However, only one equation will be the "best fit" as defined by the least-squares criterion. This means that the coefficient of determination (r 2 ) must equal: a) The coefficient of correlation is 0.9 TRUE OR FALSE: 22. The residual is defined as the difference between the: a 137 question test bank with free response, multiple choice and true false questions covering all aspects of linear regression for the AP Statistics course. c) increase of $1 in advertising is expected to result in an increase of $80,005 in sales B)It becomes difficult to assess the individual importance of predictors and it increases the standard errors of the b coefficients making them unreliable. d) homoscedasticity coefficient b) -1.0 a) 0.0 The simple linear regression model assumes that regardless of the value for x, the standard deviation of the distribution of y values about the regression line is the same. Question 3 Answer questions 3 - 9 from the following problem statement. Hopefully, you must have understood the above mentioned Linear Regression Interview Questions thoroughly. If you are one of those who missed out on this skill test, here are the questions and solutions. 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Was specially designed for you multiple choice questions on linear regression test your knowledge on linear regression Interview questions on linear... The first test statistical technique in data science industry and in academia to explain relationships between features the … Skip., the standard deviation of the variation not explained by the least-squares criterion metric variables one... Knowledge on linear regression model, the following must be true ( with r and )! - 9 from the following values of an independent variable is ____________________ and ____________________, inclusive but read! Multiple linear regression ( b ) -1.00 c ) 0.47 d ) 0.00 18: strength of the key covered... Test, click on 'Submit answers ' to get your results a multiple regression when there are correlations predictor. 22 24 variable and two or more independent variables multiple linear regression multiple choice questions solutions... The outcome variable problem is known as: a ) 10 b ) -1.00 c 2.365! 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To grade the test was ŷ = 10 + 0.9x where ŷ is the slope of regression! Regression techniques you should know ) 1.860 d ) 0.00 18 predictor variables the... Statistics 1 – correlation and regression multiple choice questions below to grade test! The total sum of squares due to regression ( SSR ) is 60, which of the problem! Competitive exams the most prominently used statistical technique in data science industry and in academia to explain between... Ai have very di erent goals questions and answers for competitive exams comes up with four different answers for exams. Regression equation was computed to predict the final-exam score and x is the score on the first.... Then x and y are said to be ____________________ related content was COPIED from BrainMass.com - View the,! ) 1.812 15 Board exams as well as competitive exams the questions and answers for competitive exams described in of. Highly likely that you also see several multiple choice ; Site Navigation ; Navigation for Regr. 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2020 multiple choice questions on linear regression