12. The purpose of simple linear regression analysis is to:O A. Replace points on the scatterplot by a straight line.B. Predict one variable from another variable.O C. Measure the degree to which two variables are linearly associated.D. Obtain the expected value of the independent random variable for a given valuthe dependent variable.

The linear regression model gives the relation between two variables using a straight line equation.

Answered: 12. The purpose of simple linear…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The data show the chest size and weight of several bears. Find the regression equation, letting chest size be the independent (x) variable. Then find the best predicted weight of a bear with a chest size of 58 inches. Is the result close to the actual weight of 572 pounds? Use a significance level of 0.05. Chest size (inches) 46 57 53 41 40 40 Weight (pounds) 384 580 542 358 306 320 LOADING... Click the icon to view the critical values of the Pearson correlation coefficient r. What is the regression equation? y=nothing+nothingx (Round to one decimal place as needed.)
A graduate school committee is studying the relationship between x, an applicants’ undergraduate grade point average and y, the applicants’ score on the graduate entrance exam. The following random sample was collected to study this relationship. a. Write a sentence interpreting the value of the slope of the regression line. b. If a student has a grade point average of 3.5 what does the least-squares line predict for the score on the graduate entrance exam? (Show your calculations.) Is this interpolation or extrapolation? Explain. c. What does the correlation coefficient tell us about the relationship between GPA and graduate entrance exam score? d. Give a brief explanation of the meaning of the coefficient of determination in the context of this problem.
Q14. The slope for an independent variable X predicts where the regression line crosses the Y (dependent) axis. a. TrueB. FalseC. None of the above
It is considered that the number of employees in the enterprise affects the number of production. Data are given below. Which of the following is the simple linear regression equation?
6.In simple linear regression, the sample correlation coefficient between the input variable and the output variable, and the estimated slope parameter : a.Must have the same sign (negative, zero, or positive) b.May have opposite signs c.Must have opposite signs d.Neither of the above
The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states, where T is thousands of automatic weapons and y is murders per 100,000 residents. 11.4 8.1 6.7 3.3 2.3 2.6 2.1 0.7 13.6 10.6 9.6 6.9 5.9 6.4 6. 4.9 Use your calculator to determine the equation of the regression line and write it in the y = ar +b form. Round to 2 decimal places. y = .78x +4.39 According to this model, how many murders per 100,000 residents can be expected in a state with 2.1 thousand automatic weapons? Round to 3 decimal places. 5.9 According to this model, how many murders per 100,000 residents can be expected in a state with 7 thousand automatic weapons? Round to 3 decimal places. 9.82
An educator wants to see the number of absences(X) a student in her class has affects the Student’s final GPA(Y)a) Find Correlation coefficient b) Draw a Scatter plot c) Find the Regression equation of Y on X d) Predict the student’s GPA when X = 6 x 4 5 2 8 3 10 7 y 2.5 2.3 4 2.1 3.3 1.7 2.3
2. Years of Work Experience and number of Job Offers of 10 job-seekers were as follows: Work Exp. 4 5 3 7 12 2 5 4 9 No. of Offers 7 1 8 4 13 19 3 11 15 a. Fit the regression equation of No. of Job Offers on Years of Work Experience. b. What will be the predicted number of offers for an applicant with 6 years of experience? c. Verify the relationship between the number of job offers and years of work experience using at least two relevant methods.
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1. Correlation analysis is used to determine the equation of the regression line b. a specific value of the dependent variable for a given value of the independent variable the strength of the relationship between the dependent and the independent variables d. a. с. None of these alternatives is correct.
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.

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