1 u 18:054G, 4G4G 16...[Mcgraw-Hil.w-Hill Irwin)RCISES1.FILE The following sample of observations were randomly selected.4 5 3 6 104 6 5 7 7yDetermine the correlation coefficient and interpret the relationship between x and y.CHAPTER 13FILE The following sample of observations were randomly selected.53 6 3 4 4 68y131571213119Determine the correlation coefficient and interpret the relationship betweenx and y.3.FILE Bi-lo Appliance Super-Store has outlets in several large metropolitan areas inNew England. The general sales manager aired a commercial for a digital cameraon selected local TV stations prior to a sale starting on Saturday and ending Sunday.She obtained the information for Saturday-Sunday digital camera sales at thevarious outlets and paired it with the number of times the advertisement was shownon the local Tv stations. The purpose is to find whether there is any relationshipbetween the number of times the advertisement was aired and digital camerasales. The pairings are:Number ofAiringsLocation ofSaturday-Sunday Sales($ thousands)TV StationProvidence415SpringfieldNew HavenBoston28521624Hartford317a. What is the dependent variable?b. Draw a scatter diagram.c. Determine the correlation coefficient.d. Interpret these statistical measures.FILE The production department of Celltronics International wants to explore therelationship between the number of employees who assemble a subassembly andthe number produced. As an experiment, two employees were assigned to assem-ble the subassemblies. They produced 15 during a one-hour period. Then fouremployees assembled them. They produced 25 during a one-hour period. Thecomplete set of paired observations follows.One-HourNumber ofProductionAssemblers(units)215425110540330The dependent variable is production; that is, it is assumed that different levels ofproduction result from a different number of employees.a. Draw a scatter diagram.b. Based on the scatter diagram, does there appear to be any relationship be-tween the number of assemblers and production? Explain.c. Compute the correlation coefficient.5. FILE The city council of Pine Bluffs is considering increasing the number of policein an effort to reduce crime. Before making a final decision, the council asked thechief of police to survey other cities of similar size to determine the relationshipbetween the number of police and the number of crimes reported. The chief gath-ered the following sample information.II

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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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Listed below are amounts of bills for dinner and the amounts of the tips that were left. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of a = 0.01. If everyone were to tip with the same percentage, what should be the value of r? Bill (dollars) Tip (dollars) 31.80 52.94 85.82 102.16 60.17 111.77 D 5.46 6.07 15.82 15.40 11.15 20.32 Construct a scatterplot. Choose the correct graph below. O A. O B. Oc. D. Q 25- 25- 25 0- 30 0- 30 Bill Amount ($) 0+ 30 Bill Amount (S) 0- 30 Bill Amount (S) 120 120 120 Bill Amount (S) 120 The linear correlation coefficient is r= 0.954 (Round to three decimal places as needed.) Determine the null and alternative hypotheses. Ho: p H,: P (Type integers or decimals. Do not round.) Tip Amount ($) ip Amount ($) Tip Amount ($) Tip Amount ($)
Listed below are numbers of Internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of a = 0.05. Internet Users 77.9 79.7 56.2 66.2 78.8 37.6 Award Winners 5.5 8.7 3.3 1.7 10.6 0.1 ..... Construct a scatterplot. Choose the correct graph below. OA. OB. OC. OD. 121 12- 12 12- 30 90 30 Internet Users 30 90 30 90 90 Internet Users Internet Users Internet Users The linear correlation coefficient is r= (Round to three decimal places as needed.) Award Winners Award Winners Award Winners Award Winners
Listed below are numbers of Internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of a =0.05. Internet Users 79.9 79.4 55.8 67.9 77.3 39.0 Award Winners 5.4 9.1 3.4 1.8 10.6 0.1 Construct a scatterplot. Choose the correct graph below. O A. В. C. D. 12- 12- 12- 12- 0+ 30 0+ 30 0- 30 90 90 30 90 90 Internet Users Internet Users Internet Users Internet Users The linear correlation coefficient is r= (Round to three decimal places as needed.)
Listed below are numbers of Internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of a = 0.01. Internet Users 80.1 78.1 57.2 66.4 76.9 38.6 O Award Winners 5.3 9.4 3.3 1.8 10.7 0.1
Find the sample correlation coefficient for the following data.
Listed below are numbers of Internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of a = 0.05. Internet Users 79.0 78.3 56.9 68.7 77.2 38.6 Award Winners 5.4 9.2 3.2 1.8 10.6 0.1 Construct a scatterplot. Choose the correct graph below. O A. OB. с. 12- 12- 12,• 0- 30 30 90 Internet Users 30 90 Internet Users 30 Internet Users 90 90 Internet Users The linear correlation coefficient is r= (Round to three decimal places as needed.) Award Winners Award Winners
Match the following sample correlation coefficients with the explanation of what that correlation coefficient means. Type the correct letter in each box. 1. r= 1 2. r = -1 3. r=-.15 4. r = .1 A. a weak positive relationship between x and y B. a weak negative relationship between x and y C. a perfect negative relationship between x and y D. a perfect positive relationship between x and y
Suppose we have the following paired observations of variables X and Y: X Y 8 0 4 10 12 20 Draw the scatter plot comparing X and Y. Calculate the values of the sample covariance and sample correlation between X and Y. Using this information, how would you characterize the relationship between X and Y ?
Five observations taken for two variables follow. xi 6 11 15 21 27 yi 6 9 5 18 12 a. compute the sample covarinace b. Compute the sample correlation coefficient. (Round your answer to three decimal places.)
Listed below are numbers of Internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of . Internet Users - 80.7 79.8 56.3 66.8 76.7 37.6 Award Winners - 5.6 9.1 3.2 1.7 10.9 0.1
Five students provided data regarding the number of hours they spent on studying (TimeStudy) and their GPA. The data are as follows. Answer the following questions. TimeStudy GPA Student 1 2.00 3.50 Student 2 4.00 3.70 Student 3 5.00 3.30 Student 4 3.00 2.60 Student 5 4.00 3.40 a) According to the SPSS table, what can you conclude regarding the correlation between TimeStudy and GPA? Report the conclusions in proper formats. b) By fitting a linear regression line to represent the relationship between TimeStudy and GPA, the regression line function is ??? = ?. ?? + ?. ?? × ?????????. See the figure Calculate (by hand) the SSresidual.

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1. FILE The following sample of observations were randomly selected. 3 6 10 4 4 6. Determine the correlation coefficient and interpret the relationship between x and y.