. The simple coeflicients of correlation between two variables out of three are as follows : 12 = .8 13 =.7 r23 = .6 Find the partial coefficients of correlation, r123 132 and r23.1
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- Listed below are annual data for various years. The data are weights (metric tons) of imported lemons and car crash fatality rates per 100,000 population. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value usingalphaαequals=0.05. Is there sufficient evidence to conclude that there is a linear correlation between lemon imports and crash fatality rates? Do the results suggest that imported lemons cause car fatalities?Lemon Imports 230, 264, 358, 481, 530Crash Fatality Rate 15.8, 15.6, 15.4, 15.3, 14.9The linear correlation coefficient r isNext calculate the test statistic tThe P-value isThe following table shows the weekly sales, test scores & achievement ratings of 5 salespersons working for a local car dealership: Salesperson Weekly Sales (Y) Sales Aptitude Test Score (x1) Mechanical Achievement (x2) Walters 11 10 6 Sullivan 5 4 2 Obmer 8 1 4 Smith 12 7 5 Jones 4 3 1 Brown 6 5 3 Black 7 2 2 Calculate the multiple correlation coefficient.. Select one: a. 0.925 b. 0.952 c. 0.295 d. 0.592Listed 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 α=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 Justice Salarv 65.0 403.0 1567.01132.0 274.0 254.0 111.0 153.0 33.0 60 24 25 29 44 92 58 45 19 AJustice Salary 100- 504 AJustice Salary 100- 50 +++++ toot THE T ...... Q AJustice Salary 100- 50 . HI AJustice Salary 100- 50 =677 e 0
- The following zero order correlation coefficients are given : r12 = 0.5 r13 = 0.6 r23 =.7 %3D Calculate the multiple correlation coefficients R1,23, R2.13 and R3.12Listed 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 α=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?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 α=0.05. Is there sufficient evidence to conclude that there is a linear correlation between court incomes and justicesalaries? Based on the results, does it appear that justices might profit by levying larger fines? Court Income 64.0 404.0 1567.0 1131.0 273.0 251.0 111.0 152.0 32.0 Justice Salary 30 44 93 56 46 61 25 26 19 What are the null and alternative hypotheses? The linear correlation coefficient is r= Determine the null and alternative hypotheses. h0: p __ __ h1: p __ ___ The test statistic is t= The P-value is Because the P-value of the linear correlation coefficient is _______ the significance level, there ____ sufficient evidence to support the claim that there is a linear correlation between Internet users and scientific…
- The following calculator screenshots show the scatterplot and the correlation coefficient between the number of days absent and the final grade for a sample of college students in a general education statistics course at a large community college. LinRegTTest y=a+bx 8#0 and P#0 tb=-2.827272727 s=3.067320418 r2=.8975572812 r=-.9473949974 The relationship between "days absent" and "final grade" can be described as O A strong negative linear relationship De O A weak negative relationship A strong positive linear relationship O A moderate positive linear relationship ISThe table below includes data from taxi rides. The distances are in miles, the times are in minutes, the fares are in dollars, and the tips are in dollars. Is there sufficient evidence to conclude that there is a linear correlation between the time of the ride and the tip amount? 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. Does it appear that riders base their tips on the time of the ride? Click here for information on the taxi rides. Construct a scatterplot. Choose the correct graph below. O A. Tip Amount ($) 25- Q 0 35 G Ride time (minutes) Determine the linear correlation coefficient. The linear correlation coefficient is r= (Round to three decimal places as needed.) Tip Amount ($) B. 25- 0- 0 35 G Ride time (minutes) Taxi data ip Amount (S C. 25- 0- 35 Ride time…A past STAT 200 student tells you that there is a very strong positive linear association between the STAT 200 final exam score and the WeBWork Assignment total. What is a plausible value of the correlation coefficient (r)? OA. -1.1 OB. 0.95 OC. -0.95 OD. 0.01 OE. 1.1 OF. 0.56
- Which of the following measures of correlation is limited in applicability to linear relationships? Select one: а. Intraclass correlation O b. Spearman's Rho Ос. Kendall's Tau O d. PearsonQ4For a data set of weights (pounds) and highway fuel consumption amounts (mpg) of five types of automobile, the linear correlation coefficient is found and the P-value is 0.033. Write a statement that interprets the P-value and includes a conclusion about linear correlation. The P-value indicates that the probability of a linear correlation coefficient that is at least as extreme is nothing%, which is ▼ high, low, so there ▼ is not is sufficient evidence to conclude that there is a linear correlation between weight and highway fuel consumption in automobiles.