Statistical Concepts, Theories and Analysis for Industrial Engineering 11-55. The final test and exam averages for 20 randomlyselected students taking a course in engineering statistics and acourse in operations research follow. Assume that the final av-erages are jointly normally distributed.(a) Find the regression line relating the statistics final averageto the OR final average.(b) Test for significance of regression using a = 0.05.Statistics8675697590OR8081758192Statistics9483867165OR9580817672Statistics8471629083OR8572659381Statistics7571768497OR7073728098(c) Estimate the correlation coefficient.(d) Test the hypothesis that p = 0, using a = 0.05.(e) Test the hypothesis that p = 0.5, using a = 0.05.(f) Construct a 95% confidence interval for the correlationcoefficient.

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Answered: 11-55. The final test and exam averages…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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24) If the R-square value for a simple linear regression model is 0.80 and the regression line has anegative slope, the correlation coefficient describing the relationship between the two variables is_____________.
1. Plot the data points on a scatter diagram. 2. Determine the equation of the regression line and find Pearson product-moment correlation coefficient. 3. Determine the point estimate of y at x = 5.5
The final test and exam averages for 20 randomly selected students taking a course in engineering statistics and a course in operations research follow. Assume that the final averages are jointly normally distributed.Find the regression line relating the statistics final average to the OR final average.(c) Estimate the correlation coefficient.
Suppose that x and y are two variables of a population and that the assumptions for regression inferences are met with x as the predictor variable and y as the response variable. a. What statistic is used to estimate the slope of the population regression line? b. What statistic is used to estimate the y-intercept of the population regression line? c. What statistic is used to estimate the common conditional standard deviation of the response variable corresponding to fixed values of the predictor variable?
Given the estimated least square regression line y=2.48+1.63x, and the coefficient of determination of 0.81, What is the value of correlation coefficient?
What are the assumptions of simple linear regression (and as a consequence the pearson’s r correlation)?
The owner of Maumee Ford-Mercury-Volvo wants to study the relationship between the age of a car and its selling price. Listed below is a random sample of 12 used cars sold at the dealership during the last year. Car Age Price 1 10 10.8 2 6 9.1 3 12 4.3 4 16 5 5 8 5.1 6 7 11.5 7 9 11.6 8 13 8 9 12 8 10 16 3.9 11 4 12.8 12 4 11.1 Determine the regression equation. (Negative value should be indicated by a minus sign. Round your answers to 3 decimal places.) a= 14.010 b= ? Estimate the selling price of a 9-year-old car (in $000). (Round your answer to 3 decimal places.) So for each additional year, the car price decreases 8.862 in value. Interpret the regression equation (in dollars). (Round your answer to the nearest dollar amount.) For each additional year, the car price decreases $_____ in value.
The owner of Maumee Ford-Mercury-Volvo wants to study the relationship between the age of a car and its selling price. Listed below is a random sample of 12 used cars sold at the dealership during the last year. Car Age Price 1 10 10.8 2 6 9.1 3 12 4.3 4 16 5 5 8 5.1 6 7 11.5 7 9 11.6 8 13 8 9 12 8 10 16 3.9 11 4 12.8 12 4 11.1 Determine the regression equation. (Negative value should be indicated by a minus sign. Round your answers to 3 decimal places.) a= b= Estimate the selling price of a 9-year-old car (in $000). (Round your answer to 3 decimal places.) So for each additional year, the car price decreases ____ in value. Interpret the regression equation (in dollars). (Round your answer to the nearest dollar amount.)
Give an example of a research question that would be suitable for computing a: a) Correlation coefficient b) Regression line
The data in Table 11.17 are given for 9 patients with aplastic anemia [11]. 11.6 Test for the statistical significance of the regression line using the t test.
In simple linear regression of a sample of 25 data points, if the correlation equals 0, the standard deviation of residuals will not equal which of the following (Select All that Apply) -1 1 0 -2 2 can it be 0?
In a simple linear regression model with one predictor variable, what is the coefficient of determination (R-squared) if the Pearson's correlation coefficient between the predictor and response variable is 0.6?

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