You wish to determine if there is a linear correlation between the two variables at a significance level of 0.02. You have the following bivariate data set. y 40.7 -525.6 62.4 76 66.1 455.5 77 134.4 88.5 -379.7 81.7 43.3 93.3 88 58.4 254.7 55.8 262.9 55.9 -99.4 66.6 -215.9 85.7 409.7 72.8 -153.1 55.6 207.5 What is the correlation coefficient for this data set? r = .155 To find the p-value for a correlation coefficient, you need to convert to a t-score: /p²(n – 2) t = 1- 72 This t-score is from a t-distribution with n-2 degrees of freedom. What is the p-value for this correlation coefficient? p-value =

You wish to determine if there is a linear correlation between the two variables at a significance level of 0.02. You have the following bivariate data set. y 40.7 -525.6 62.4 76 66.1 455.5 77 134.4 88.5 -379.7 81.7 43.3 93.3 88 58.4 254.7 55.8 262.9 55.9 -99.4 66.6 -215.9 85.7 409.7 72.8 -153.1 55.6 207.5 What is the correlation coefficient for this data set? r = .155 To find the p-value for a correlation coefficient, you need to convert to a t-score: /p²(n – 2) t = 1- 72 This t-score is from a t-distribution with n-2 degrees of freedom. What is the p-value for this correlation coefficient? p-value =

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 .05 significance level, does the data below show significant correlation? X y 5 22.1 6 20.35 7 17.2 8 16.85 9 8.2 10 17.45 17 11 Yes, significant correlation O No
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) Tip Amount ($) Construct a scatterplot. Choose the correct graph below. O A. 25- 30 C ● ·· Bill Amount (S) 32.25 49.72 87.12 101.52 66.52 104.21 4.25 7.70 7.90 11.83 7.08 11.35 120 Q M O B. Tip Amount ($) 25- ++++ 30 .. Bill Amount (S) 120 Q Q M C O C. Tip Amount ($) 25- 0+ 30 ● ·· Bill Amount ($) 120 Q Q O D. ip Amount ($) 25- to 0- 30 · Bill Amount (S) 120 Q Q U
4. In a diving competition, the scores of two referees caused controversy. The table below s hows their scores for the players. Try to do Spearman correlation analysis. (10) Athletes 1 2 4 7 8 9. 10 11 12 Referee A 8.3 11.6 9.6 10.6 12 11 11.2 10.5 10.3 11.3 9.8 Referee B 9.8 10.9 10.6 11.6 10.8 10.1 11.9 10.4 11.6 11 10.7 9.6
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
Note that this uses minitab. Make a scatterplot that will enable you to predict BBAC from number of beers consumed. What is the correlation coefficient?
1. A professor is interested in how attendance is related to grades her class. She goes through her records and determines each student’s final average and the number of days absent. The scores for her sample are given in the table below. a. Construct a scatter plot of the relationship between final averages and the number of days absent. b. Is there a significant relationship between final averages and the number of days absent? Calculate and interpret the correlation and report it in proper APA format. c. Compute r2 for the data. What percent of the variability in final averages is accounted for by the number days absent?
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 ($) Tip Amount ($)
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A. For which data set is the sample correlation coefficient r closest to −1? B. For which data set is the sample correlation coefficient r closest to 0? C. For which data set is the sample correlation coefficient r equal to 1?
At the .05 significance level, does the data below show significant correlation? x y 3 12.87 4 13.66 5 17.95 6 23.44 7 15.93 8 13.62 9 27.91
A sample contains 61 pairs of values. Find the critical value for the linear correlation coefficient from Table A-6 corresponding to a 0.05 significance level. A. 0.330 B. 0.236 C. 0.279 D. 0.254 ( don't hand writing solution)
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…