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- GadubhaiListed 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 ($) 25- to 0- 30 · Bill Amount (S) 120 Q Q UBased on the data below, answer the following question: Draw a scatter diagram that highlights the relationship between Local Tuition and Students per Faculty. The correlation coefficient indicates that the relationship between Local Tuition and Students per Faculty is _______. Select one: a. positively correlated b. not related c. negatively correlated Business School Full-Time Enrollment Students per Faculty Local Tuition ($) Foreign Tuitiion ($) English Test Work Experience Starting Salary ($) 1 Melbourne Business School 200 5 24,420 29,600 No Yes 71,400 2 University of New South Wales (Sydney) 228 4 19,993 32,582 No Yes 65,200 3 Indian Institute of Management (Ahmedabad) 392 5 4,300 4,300 No No 7,100 4 Chinese University of Hong Kong 90 5 11,140 11,140 No No 31,000 5 International University of Japan (Niigata) 126 4 33,060 33,060 Yes No 87,000 6 Asian Institute of Management (Manila) 389 5 7,562 9,000 No Yes 22,800 7 Indian Institute of Management…
- Use the Pearson r correlation table to answer questions about the relations between table variables (symbols: * p < .05, ** p < .01, *** p < .001). variable contacts demeanor preparation contacts 1 -0.139 -0.004 demeanor -0.139 1 0.886*** preparation -0.004 0.886*** 1Listed 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 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…
- find linear correlation coefficient, P value, and test statistic.The accompanying table lists the ages of acting award winners matched by the years in which the awards were won. 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. Should we expect that there would be a correlation? Use a significance level of α = 0.01. Click the icon to view the ages of the award winners. 70- 20- 20 70 Best Actress (years) 20- 20 70 Best Actress (years) The linear correlation coefficient is r= -0.248. (Round to three decimal places as needed.) Determine the null and alternative hypotheses. = 0 Ho: P H₁:p # 0 (Type integers or decimals. Do not round.) The test statistic is t = (Round to two decimal places as needed.) ... 70- 20- al 20 70 Best Actress (years) Best Actor (years) 60 70- H HHHH HE 20- 20 Best Actress (years) 70 S 3Calculate the Spearman correlation coefficient between two sets of data: set A = [6, 8, 10, 12, 14] and set B = [2, 4, 6, 8, 10].
- Let x be the average number of employees in a group health insurance plan, and let y be theaverage administrative cost as a percentage of claims. The following data is based on a randomsample:x 5 7 15 25 35y 40 35 30 20 25a. Plot a scatter diagram of the above data.b. Estimate the sample correlation coefficient r as positive, zero, or negative.c. Interpret your results from parts a. and b.(b) Calculate the sample correlation coefficient r. (c) Describe the type of correlation, if any, and interpret the correlation in the context of the data. (d) Use the table of critical values for the Pearson correlation coefficient to make a conclusion about the correlation coefficient.