Use regression to find the line of best fit and the correlation caefficient.C.Round your answers to two decimal places.T3=Numberd.What is the slope of the regression equation? What does it mean?The slope of the regression equation isNumberand it means that per capita incomeCick for Lilby Numberfor each year.e.Use the line af best fit to estimate PCINC for 1900, and for 1970.Round your answers to the nearest integer (dallar).When the year is 1900, ý = NumberWhen the year is 1970, ýNumber The following table shows economic development measured in per capita income PCINC.YearPCINCYearPCINC187034519201,044188049519301, 163189059019401, 361190074719501, 826191092119602, 138Table 12.7What are the independent and dependent variables?The independent variable is theand the dependent variable is theb. Which of the following is the correct scatterplat for the data above?2500a 15001000-A 500-188019001920194019601980X- year250012000a 15001000-! 5oot04188019001920194019601980X- year2500-2000-15001000500-188019001920X-year194019602500是20004a 1500-1000-50188019001920194019601980X- yearauco undeo ad-auco ndeo ad- d

Answered: Image /qna-images/answer/29f87f5e-e152-4bde-abc8-56abc52309a5.jpg

Answered: C. Use regression to find the line of…

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? r= - 0.884 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 (7,1), 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? y=+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.) c. Choose the correct description of the results below. 10- 84 6 4 2- 02468 10 OA. The regression line changes, but the change is small. B. The removal of the point has a significant impact on the regression line. OC. The regression line is very similar in both cases. O D. There is no regression line for the second case because the data are in a pattern.
Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary. A horizontal table lists x-values in the first row and y-values in the second row. The x-values are as follows from left to right: 6, 8, 20, 28, and 36. The y-values are as follows from left to right: 2, 4, 13, 20, and 30. A. y with caret= −2.79 + 0.897x B. y with caret = −3.79 + 0.801x C. y with caret= −2.79 + 0.950x D. y with caret = −3.79 + 0.897x
r = -0.579 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.)
Illustration 15.37. You are given the following data: y 85 Arithmatic mean 36 S.D. 11 Coefficient of correlation = 0.66. (i) Find the two regression equations. (ii) Estimate the value of x when y = 75.
Different patients are randomly selected and measured for pulse rate and body temperature. Using technology with x representing the pulse rates and y representing temperatures, we find that the regression equation has a slope of -0.007 and a y-intercept of 95.6. a. What is the equation of the regression line? b. What does the symbol y represent? a. Choose the correct answer below and fill in the answer boxes to complete your choice. (Type integers or decimals. Do not round.) OA. The equation is Inx=+(y. OB. The equation is Iny=( OC. The equation is y=+x OD. The equation is x=+y b. The symbol y represents value of the actual the mean a predicted ▼ C
Use the regression equation to predict the y-value corresponding to the given x-value. Round your answer to the nearest tenth. Nine pairs of data yield the regression equation y = 19.4 +0.93x. Predict y for x= 49. O A. 64.7 O B. 79.6 O C. 57.8 O D. 65.0
The table below shows how far a person driving in their car was able to go over different intervals of time. Perform a regression to model the data, using the form y = ka + h. What is your value for k? (Round your answer to the nearest tenth.) Time (hours) Distance (miles) 1.2 26 2.5 57 3.1 63 4.8 114
2. Participants were kept awake for a certain number of hours before given a visuospatial task. Researchers measured how many correct responses each participant had. Results are shown below. Use alpha = .01. Number of Correct Hours Kept Awake (X) Responses (Y) 21 X = 10 SS, = 422 Y = 10 SS, = 690 2 4 19 %3D 6. 13 SPxy =-525 ху 5 20 S, =5.70 S, = 7.29 9. 11 10 9. 14 5 15 5 17 2 18 1 17 1 13 4 18 8 11 A. Graph the data. B. State the hypotheses. C. Make a decision about the null. a. Calculate Pearson's r i. Decision about null hypothesis? b. Calculate effect size i. Interpret effect size. D. State your conclusion. E. Relate your conclusion to the research. F. Calculate the regression formula. G. If someone was kept awake for 9 hours, what is the predicted number of correct responses?
The rest of the D is.... c. 107.1 d. Not meaningful

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