A national consumer protection society investigated seven brands of paint to determine their quality relative to price. The society’s conclusions were ranked according to the following table: Brand T U V W X Y Z price/liter 1.92 1.58 1.35 1.6 2.05 1.39 1.77 quality ranking 2 6 7 4 3 5 1 Using Spearman’s rank correlation coefficient, determine whether the consumer generally gets value for money

A national consumer protection society investigated seven brands of paint to determine their quality relative to price. The society’s conclusions were ranked according to the following table: Brand T U V W X Y Z price/liter 1.92 1.58 1.35 1.6 2.05 1.39 1.77 quality ranking 2 6 7 4 3 5 1 Using Spearman’s rank correlation coefficient, determine whether the consumer generally gets value for money

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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at the 0.05 significance level, does the data below show significant correlation. x is 3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18, y is 19.07, 25.46, 26.95,34.34,24.73,28.82,35.71,43.6,35.19,41.48,49.07,53.46,52.05,53.64,51.43,63.92. yes, significant correlation or no.
Mr. Ali runs a gift shop in the Defense area, Karachi. He advertises weekly in the local newspapers and is considering increasing his advertising budget. Before doing so, he decides to evaluate the past effectiveness of these advertisements. Five weeks are sampled, and the advertising expenses (in PKR) and sales volume for each is shown in the Table 2. What is correlation coefficient value. S.No. Sales (PKR 100) Advertising (PKR 100) 1.00 4.00 4.10 2.00 7.00 6.72 3.00 6.00 5.05 4.00 8.00 7.26 5.00 4.00 2.69
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 ($)
The accompanying data were read from a plot (and are a subset of the complete data set) given in an article. The data represent the mean response times for a group of individuals with closed-head injury (CHI) and a matched control group without head injury on 10 different tasks. Each observation was based on a different study, and used different subjects, so it is reasonable to assume that the observations are independent. y = Study 1 2 3 4 5 6 7 8 9 10 Mean Response Time CHI 302 492 658 684 922 1044 1421 1329 1481 1815 t = Control 250 360 475 (a) Fit a linear regression model that would allow you to predict the mean response time for those suffering a closed-head injury from the mean response time on the same task for individuals with no head injury. (Round your answers to four decimal places.) 525 610 740 880 920 1010 1200 (b) Do the sample data support the hypothesis that there is a useful linear relationship between the mean response time for individuals with no head injury and the…
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 alpha equals 0.01. Construct a scatterplot. Choose the correct graph below. The linear correlation coefficient is r equals __? (Round to 3 decimal places) Determine the null and alternative hypotheses. (Type integers or decimals. Do not round.) The test statistic is t___ (Round to 2 decimal places.) The P-value is___ (Round to 3d ecimal places.) Because the P-value of the linear correlation coefficient is ▼ (greater than, less than or equal) to the significance level, there ▼ (is, is not) sufficient evidence to support the claim that there is a linear correlation between Internet…
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A random sample of 7 countries gave the following figures for X = annual per capita income and Y = urbanization rate (percentage of people living in urban area): Country X (US dollars) Y (%) 1 3500 20 2 2700 24 3 2100 16 4 2400 19 5 3000 26 6 2000 19 7 1900 17 Calculate the correlation coefficient for the sample. Explain the results At the 5% significant level, test whether per capita income and urbanization rate are unrelated.
Listed below are amounts of court income and salaries paid to the town justices. All amounts are in thousands of dollars. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using a = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between court incomes and justice salaries? Based on the results, does it appear that justices might profit by levying larger fines? Court Income 65.0 406.0 1566.0 1130.0 273.0 251.0 112.0 152.0 32.0 Justice Salary 31 45 92 58 44 60 24 25 18 B. Ho:p=0 A. Ho:p=0 H4:p#0 H:p>0 O C. Ho: p=0 H4:p<0 O D. Ho: p+0 H1:p=0 Construct a scatterplot. Choose the correct graph below. O A. В. O D. AJustice Salary 100- AJustice Salary 100- A Justice Salary 100- AJustice Salary 100- 50- 50- 50- 50- 0- 0- 0- 800 1600 800 1600 800 1600 800 1600 Court Income Court Income Court Income Court Income The linear correlation coefficient is r= (Round to three decimal places as needed.)
In a study on television violence and aggression, researchers measured the TV viewing habits of 3rd grade males (preference for violent TV shows) and their levels of aggression; and then revisited the men 10 years later and measured the same variables. They found these zero-order correlations: Aggression G3 TV G3 Aggression Y18 Aggression G3 1.0 .65 .45 TV G3 1.0 .5 Aggression Y18 1.0 a) Suggest an operational definition to measure TV show preference for violent TV shows at Grade 3 and at Year 18. b) What is going on if the partial correlation of TV G3 and AGG Y18 with AGG G3 held constant is .09? How do you know this? c) What is going on if the partial correlation of AGG G3 and AGG Y18 with TV G3 held constant is .06? How do you know this?
Which set of data would probably show a strong positive linear correlation? a) the number of defective light bulbs produced and the time of the day when they were manufactured b) marks on a history test and the heights of the students c) the colour of cars sold and the annual income of the car buyers d) the height of corn in a field and the amount of precipitation during the growing season
Listed below are amounts of court income and salaries paid to the town justices. All amounts are in thousands of dollars. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using a = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between court incomes and justice salaries? Based on the results, does it appear that justices might profit by levying larger fines? Court Income 65.0 406.0 1567.0 1131.0 271.0 254.0 111.0 152.0 30.0 Justice Salary 29 45 91 58 45 60 24 25 19 What are the null and alternative hypotheses? O A. Ho: p#0 O B. Ho: p=0 H₁: p=0 H₁: p0 H₁: p=0 Construct a scatterplot. Choose the correct graph below. A. B. C. ★Justice Salary AJustice Salary 100- Justice Salary D. 100- ★Justice Salary 100+ ▬▬▬▬▬▬ · ■● 50- 50- 50+ 0- 0- 800 1600 800 1600 Court Income Court Income Court Income Court Income The linear correlation coefficient is r = (Round to three decimal places as needed.) The test…
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 = 0.05. If everyone were to tip with the same percentage, what should be the value of r? Bill (dollars) Tip (dollars) 69 Construct a scatterplot. Choose the correct graph below. O A. 25- 04 30 1.6 Bill Amount (S) 30.39 49.64 84.71 94.16 62.06 101.95 6.07 8.67 11.03 12.99 9.31 13.46 120 Q ✔ The linear correlation coefficient is r= (Round to three decimal places as needed.) Determine the null and alternative hypotheses. Ho: P H₁: p (Type integers or decimals. Do not round.) The test statistic is t = (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) Because the P-value of the linear correlation…