The value of the sample correlation coefficient r for these data is approximately 0.890.Answer the following. Carry your intermediate computations to at least four decimal places, and round your answers as specified below. (If necessary, consult alist of formulas.)(a) What is the value of the slope of the least-squares regression line for these data?Round your answer to at least three decimal places.(b) What is the value of the y-intercept of the least-squares regression line for these data?Round your answer to at least three decimal places. A financial analyst is examining the relationship between stock prices and earnings per share. She chooses sixteen publicly traded companies at random andrecords for each the company's current stock price and the company's earnings per share reported for the past 12 months. Her data are given below, with xdenoting the earnings per share from the previous year andy denoting the current stock price (both in dollars). A scatter plot of her data is shown in Figure 1.Earnings per share, x(in dollars)Current stock price, y(in dollars)42.211.7720.650.7915.970.423+34.031.7842.521.562.5+58.772.3517.830.701.5+30.451.5258.212.8235.831.550.5+29.850.7910203040506037.241.30Earnings per share(in dollars)51.421.6941.201.07Figure 152.292.7127.910.95Send data to calculatorSend data to ExcelCurrent stock price(in dollars)

The simple linear regression relates one dependent variable to one independent variable. The…

Answered: The value of the sample correlation…

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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Use the value of the linear correlation coefficient to calculate the coefficient of determination. What does this tell you about the explained variation of the data about the regression line? About the unexplained variation? T-0.538 Calculate the coefficient of determination. (Round to three decimal places as needed.) What does this tell you about the explained variation of the data about the regression line? % of the variation can be explained by the regression line. (Round to one decimal place as needed.) About the unexplained variation? % of the variation is unexplained and is due to other factors or to sampling error. (Round to one decimal place as needed.) O Time Remaining: 01:22:40 Next MacBook Air DI 80 F7 FB esc F5 F6 F2 @ # $ %3D de 2 3 4 5 7 8 9 1 P Q W R T Y tab 11 F G K
For the relationship between Calories and Carbs, here is the equation of the line of best fit: nts Regression Equation: Calories = 2.36 + 4.432 Carbs The range of Carb values in the dataset was between 17 and 47 Carbs. What wourd you say if asked to predict the number of Calories if a cereal had 60 Carbs? Type your response in the text box..
a. Using the pairs of values for all 10 points, find the equation of the regression line. b. After removing the point with coordinates (2,3), use the pairs of values for the remaining 9 points and find the equation of the regression line. c. Compare the results from parts (a) and (b). a. What is the equation of the regression line for all 10 points? ŷ= + x (Round to three decimal places as needed.) b. What is the equation of the regression line for the set of 9 points? ŷ= (Round to three decimal places as needed.) c. Choose the correct description of the results below. O A. The removal of the point has a significant impact on the regression line. B. The regression line changes, but the change is small. OC. There is no regression line for the second case because the data are in a pattern. D. The regression line is very similar in both cases. Ay 10- 8 6- 4- 2- 0- ●●● 0 2 4 6 8 10
If a linear regression equation had the following form Y = 3 - 2 X: choose the correct statement : Select one: a. The y intercept must be negative b. Sum of squared due to regression must be 0 c. The sample correlation coefficient must be negative o d. The coefficient of determination must be negative 29 36 Next page Fini IYITY NEXT ACTIVITY
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Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary. Ten students in a graduate program were randomly selected. Their grade point averages (GPAs) when they entered the program were between 3.5 and 4.0. The following data were obtained regarding their GPAs on entering the program versus their current GPAs.
Use the value of the linear correlation coefficient to calculate the coefficient of determination. What does this tell you about the explained variation of the data about the regression line? About the unexplained variation? r= 0.495 Calculate the coefficient of determination. (Round to three decimal places as needed.) What does this tell you about the explained variation of the data about the regression line? % of the variation can be explained by the regression line. (Round to one decimal place as needed.) About the unexplained variation? % of the variation is unexplained and is due to other factors or to sampling error. (Round to one decimal place as needed.)
Please help me with this question.
Use the value of the linear correlation coefficient to calculate the coefficient of determination. What does this tell you about the explained variation of the data about the regression line? About the unexplained variation? r= 0.665 Calculate the coefficient of determination. (Round to three decimal places as needed.)
a. Using the pairs of values for all 10 points, find the equation of the regression line. b. After removing the point with coordinates (2,8), use the pairs of values for the remaining 9 points and find the equation of the regression line.. c. Compare the results from parts (a) and (b). C a. What is the equation of the regression line for all 10 points? ŷ=+x (Round to three decimal places as needed.) b. What is the equation of the regression line for the set of 9 points? y = (Round to three decimal places as needed.) y= c. Choose the correct description of the results below. OA. The regression line changes, but the change is small. OB. The regression line is very similar in both cases. OC. There is no regression line for the second case because the data are in a pattern. On The removal of the point has a significant impact on the regression line 10 8- 0 ++++++ 0 2 4 6 8 10. OON
For each part below, if a regression has the given coefficient of correlation, find its coefficient of determination. Your answer should be accurate to at least four decimal places. a) Coefficient of correlation is -0.72. Coefficient of determination is 0 b) Coefficient of correlation is 0.84. Coefficient of determination is 0
Use the value of the linear correlation coefficient to calculate the coefficient of determination. What does this tell you about the explained variation of the data about the regression line? About the unexplained variation? r= - 0.884 Calculate the coefficient of determination. (Round to three decimal places as needed.)

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