Which of the following statements about simple linear regression are true? Theremay be more than one correct statement; check all that area true.a) The correlation coefficient ralways has the same sign as the sample slope B1.b) If Bo is positive, that implies that Y tends to increase as X increases.c) In least squares regression, the residuals always sum to 1.O d) If Bo = B1, that implies there is no linear relationship between Y and X.

a). The slope of the regression model has the same sign that the correlation coefficient has.…

Which of the following statements about simple linear regression are true? There may be more than one correct statement; check all that area true. Ua) The correlation coefficient ralways has the same sign as the sample slope B1. O b) If Bo is positive, that implies that Y tends to increase as X increases. c) In least squares regression, the residuals always sum to 1. O d) If Bo = B1, that implies there is no linear relationship between Y and X.

Which of the following statements about simple linear regression are true? There may be more than one correct statement; check all that area true. Ua) The correlation coefficient ralways has the same sign as the sample slope B1. O b) If Bo is positive, that implies that Y tends to increase as X increases. c) In least squares regression, the residuals always sum to 1. O d) If Bo = B1, that implies there is no linear relationship between Y and X.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

Assume that researchers measure the concussion screening score using a smart phone app, X, and also measure the score by a comprehensive concussion exam by a physician, Y. The scores are reported in the following table. The researchers also report the sX = 9 and sY = 17.34 and the Pearson’s r between X and Y is .764. What is the regression line using X to predict Y? X Y 8 100 10 113 15 126 22 125 27 115 28 135 30 154
In a study, the simple linear regression equation was found as y = - 2.65 + 3.23 * x. Accordingly, if the value of x is 1.55, what will be the value of "y"? 33 - -.an donklomi IL..l..nmust.- D. ..--- inin dex- yuli 1, O A) 7,66 O B) 6,32 O C) 2,36 O D) -2,36 O E) -7,66
Q,! Following is a set of data on two variables, x and y. A) Draw and label a scatterplot for this data: x y 12 18 19 17 25 20 8 19 20 24 B) Find the (least-squares) regression equation to predict y from x, and then plot the line on your scatter plot. Label two points on the line. C) Use your equation to complete the table in part (a) by finding the predicted values and their associated residuals. What is the sum of your residuals? D) Does x have predictive value for y? Conduct an appropriate test to answer this by completing the following ANOVA table: Source of Variability SS df MS F e) What is the value of se? How should it be interpreted?
Which of the following is an assumption of the regression model? Select one: a. X and Y are independent variables. b. The errors of prediction are uniformly distributed. c. The error terms of X are dependent on the error terms of Y. d. There exists a linear association between variables X and Y.
Q3: From the following data: 2 5 y 5 4 6 3 1) Draw scatter plot. 2) Determine the regression line y = a + b x. 3) Predict the value of y for the value of x = 4.6. 4) Calculate the correlation coefficient. 4 8 3 5
Which of the following is a true attribute of a regression line? A. A regression line is a tool for making predictions about future observed values for center variables B. A regression line reduces a linear relationship to its bare essential. C. A regression line allows us to analyze a relationship without being distracted by small details. D. all of the above
The electricity generation problem: Most of S.As power stations are coal- fired. Assume a random sample of 10 power stations were selected and their coal usage and electricity generated 2017 was obtained. Coal used in 2017 (in million tonnes) 15 6 10 18 9 7 14 11 5 8 Electricity generated (million kilowatt hours) 35 18 24 32 24 20 32 29 14 22 Find the straight-line regression function to estimate electricity generated (y) from coal used (x) by the method of least squares. O A. 9=5.763+ 2.815x O B. =9.367+1.51&r OC.f=9.367+1.518y O D.f=5.763+2.815y
Show calculations or explanation for each question. a) Which of the following techniques is used to predict the value of one variable on thebasis of other variables?a. Correlation analysisb. Coefficient of correlationc. Covarianced. Regression analysis b) In the least squares regression line, y^=3-2x the predicted value of y equals:a. 1.0 when x = −1.0b. 2.0 when x = 1.0c. 2.0 when x = −1.0d. 1.0 when x = 1.0 c) In the simple linear regression model, the y-intercept represents the:a. change in y per unit change in x.b. change in x per unit change in y.c. value of y when x = 0.d. value of x when y = 0.
b. Consider the following data, Study Hours (Y) Sleeping Hours (X) 2 4 8. 10 13 7 10 8 7 7 i) Calculate and analyze the fitted regression line between the number of study hours and the number of sleeping hours of different intakes of CSE students. ii) Find the coefficient of determination and interpret your data. iii) Predict study hour when he/she sleeps 11 hours.
Given below are five observations collected in a regression study on two variables x (independent variable) and y (dependent variable). X Y 10 7 20 5 30 4 40 2 50 1 a. Develop the least squares estimated regression equation. b. At the 5% level of significance, perform a t test and determine whether or not the slope is significantly different from zero. d. Compute the coefficient of determination. e. Compute the coefficient of correlation.