b. Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. ←xy86.76Click here to view a table of critical values for the correlation coefficient.OA.Ay16+107.47a. Construct a scatterplot. Choose the correct graph below.12-8-4-04O**3 12 16Q(C) Delow. (Used-0.05.Q1312.73GOB.Ay16-12-8-4-0-19.out97.110 4Q8 12 16 A117.82148.84O C.Aу1612-840-066.08*********4 8 12 16QQG45.39b. Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables.The linear correlation coefficient is r=(Round to three decimal places as needed.)128.144D.16-12&Aу00********12 1676.42Q55.73

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Answered: Find the linear correlation…

Find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables.

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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Q 4
A sample of 30 ordered pairs produces a linear correlation coefficient of r-0.026 Which of the following statements would be true? No regression line could be calculated from these ordered pairs Although no linear correlation exists, there might be a strong non-linear correlation A negative linear correlation exists A positive linear correlation exists The regression line would not pass through the point (x, y)
The Minitab output shown below was obtained by using paired data consisting of weights (in lb) of 31 cars and their highway fuel consumption amounts (in mi/gal). Along with the paired sample data, Minitab was also given a car weight of 4000 lb to be used for predicting the highway fuel consumption amount. Use the information provided in the display to determine the value of the linear correlation coefficient. (Be careful to correctly identify the sign of the correlation coefficient.) Given that there are 31 pairs of data, is there sufficient evidence to support a claim of linear correlation between the weights of cars and their highway fuel consumption amounts? Click the icon to view the Minitab display. The linear correlation coefficient is (Round to three decimal places as needed.) Is there sufficient evidence to support a claim of linear correlation? Yes O No Minitab output The regression equation is Highway = 50.8 -0.00508 Weight Predictor Coef SE Coef T P Constant 50.772 2.793…
The Minitab output shown below was obtained by using paired data consisting of weights (in lb) of 26 cars and their highway fuel consumption amounts (in mi/gal). Along with the paired sample data, Minitab was also given a car weight of 3000 lb to be used for predicting the highway fuel consumption amount. Use the information provided in the display to determine the value of the linear correlation coefficient. (Be careful to correctly identify the sign of the correlation coefficient.) Given that there are 26 pairs of data, is there sufficient evidence to support a claim of linear correlation between the weights of cars and their highway fuel consumption amounts? Click the icon to view the Minitab display. The linear correlation coefficient is (Round to three decimal places as needed.) Minitab output The regression equation is Highway = 50.3 -0.00539 Weight Predictor Coef SE Coef Constant 50.288 2.998 Weight -0.0053868 0.0007773 |S=2.11773 R-Sq=64.0% R-Sq(adj) = 60.9% Predicted Values…
K The 'pizza connection' is the principle that the price of a slice of pizza is always about the same as th the pizza and subway cost data in the table below to determine whether there is a linear correlation b items. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value whether there is sufficient evidence to support a claim of linear correlation between the two variables results does it appear that the subway fare is always about the same as a slice of pizza? Use a signi X Pizza Cost and Subway Fares Year Pizza Cost Subway Fare CPI 1960 1973 1986 1995 2002 2003 2009 2013 2015 2019 D 0.15 0.35 1.00 1.25 1.75 2.00 2.25 2.30 2.75 3.00 0.15 0.35 1.00 1.40 1.50 2.00 2.25 2.50 2.75 2.75 29.5 43.9 109.6 152.1 180.0 184.0 214.5 233.0 237.0 252.2 Print Done The linear correlation coefficient is r = (Round to three decimal places as needed.)
A Of two personnel evaluation techniques available, the first requires a 2-hour test-interview while the second can be completed in less than an hour. The scores for each of the eight individuals who took both tests are given in the table below. Applicant Test 1 (x) Test 2 (y) 1 75 38 2 90 56 60 35 71 46 92 58 3 4 5 7 8 106 55 87 69 30 52 (a) Find the correlation coefficient r to describe the relationship between the two tests. (Round your answer to three decimal places.) r= (b) Would you be willing to use the second and quicker test rather than the longer test-interview to evaluate personnel? Explain. O The correlation coefficient is close to -1, indicating that the second and quicker test could be used in place of the longer test-interview. O The correlation coefficient is close to 1, indicating that the second and quicker test could be used in place of the longer test-interview. O The correlation coefficient is close to 1, indicating that the second and quicker test could not be…
Police sometimes measure shoe prints at crime scenes so that they can learn something about criminals. Listed below are shoe print lengths, foot lengths, and heights of males. 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. Based on these results, does it appear that police can use a shoe print length to estimate the height of a male? Use a significance level of a= 0.01. Shoe Print (cm) | 28.8 Foot Length (cm) 24.8 Height (cm) 30.8 30.4 31.1 28.6 24.6 27.8 26.1 25.3 177.6 179.2 179.2 169.4 169.5
Police sometimes measure shoe prints at crime scenes so that they can learn something about criminals. Listed below are shoe print lengths, foot lengths, and heights of males. 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. Based on these results, does it appear that police can use a shoe print length to estimate the height of a male? Use a significance level of a = 0.05. Shoe Print (cm) Foot Length (cm) Height (cm) Height (cm) 160- 25 Shoe Print (cm) 30.1 25.7 179 35 0 30.1 32.4 32.8 25.1 27.5 27.1 176.9 187.3 170.8 The linear correlation coefficient is r= 0.495 (Round to three decimal places as needed.) Determine the null and alternative hypotheses. Ho: p = H₁: P 0 (Type integers or decimals. Do not round.) The test statistic is t = 0.99. (Round to two decimal places as needed.) The P-value is (Round to three…
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. Pearson
Consider a two-dimensional scatterplot representing the relationship between two continuous variables. If the correlation coefficient is -1, then: a. All points lie in a straight line with a slope of -1. b. All points lie in a straight line with an unknown negative slope. c. All points do not lie in a straight line but the best fitting regression line has a slope of -1 d. There is a strong positive relationship between the two variables.
C. Using the linear correlation coefficient found in the previous step, determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. Choose the correct answer below. a.) there is sufficient evidence to support the claim of a linear correlation between the two variables. b.) there is insufficient evidence to support the claim of a nonlinear correlation between the two variables. c.) there is sufficient evidence to support the claim of a nonlinear correlation between the two variables. d.) there is insufficient evidence to support the claim of a linear correlation between the two variables. C. Identify the feature of the data that would be missed if part (b) was completed without constructing the scatterplot. Choose the correct answer below. a.) The scatterplot reveals a distinct pattern that is not a straight-line pattern. b.) The scatterplot reveals a distinct pattern that is a straight-line pattern with negative…
For 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.