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 sufficien 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? | 31.80 52.94 85.82 102.16 60.17 111.77 O 5.46 Bill (dollars) Tip (dollars) 6.07 15.82 15.40 11,15 20.32 Construct a scatterplot. Choose the correct graph below. OA. OB. Oc. VD. Q 25 25 120 120 120 30 Bill Amount (S) 120 Bill Amount ($) 30 Bill Amount (S) Bill Amount (S) The linear correlation coefficient is r= (Round to three decimal places as needed.) ip Amount ($)

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 sufficien 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? | 31.80 52.94 85.82 102.16 60.17 111.77 O 5.46 Bill (dollars) Tip (dollars) 6.07 15.82 15.40 11,15 20.32 Construct a scatterplot. Choose the correct graph below. OA. OB. Oc. VD. Q 25 25 120 120 120 30 Bill Amount (S) 120 Bill Amount ($) 30 Bill Amount (S) Bill Amount (S) The linear correlation coefficient is r= (Round to three decimal places as needed.) ip Amount ($)

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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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 ($)
a. Calculate the sample covariance.X Y-3 -913 95 12b. Calculate the sample correlation.c. Describe in words the information given to us by the sample covariance and by the sample correlation.Explain how the correlation gives us more precise information.d. Explain why the covariance is not a good measure of the strength of the linear relationship between the twovariables.e. Sketch a scatterplot of a bivariate dataset with a correlation of 0.9f. Sketch a scatterplot of a bivariate dataset with a correlation of -0.3.
Listed below are the 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 α=0.01. If everyone were to tip with the same percentage, what should be the value of r? Bill (dollars) 31.65 53.83 87.10 103.64 60.34 109.80 Tip (dollars) 3.74 5.76 14.73 16.86 7.44 20.73 1. The linear correlation coefficient is r= 2. What are the null and alternative hypotheses? 3. The test statistic is t= 4. The P-Value is P=
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=0.05. LOADING... Click the icon to view the ages of the award winners. Construct a scatterplot. Choose the correct graph below. A. 20702070Best Actress (years)Best Actor (years) A scatterplot has a horizontal axis labeled Best Actress in years from 20 to 70 in increments of 5 and a vertical axis labeled Best Actor in years from 20 to 70 in increments of 5. Twelve points are plotted. Eleven of the plotted points follow the pattern of a line rising from left to right passing through the points (24, 38) and (66, 58). An…
Find the correlation coefficient, r, for the sample data below (please round yourfinal answer to 3 digits after the decimal): x y 2 4 3 3 4 4 5 1 6 2
Assume that you have paired values consisting of heights (in inches) and weights (in lb) from 40 randomly selected men. The linear correlation coefficient r is 0.594. Find the value of the coefficient of determination. What practical information does the coefficient of determination provide? Choose the correct answer below. O A. The coefficient of determination is 0.353. 64.7% of the variation is explained by the linear correlation, and 35.3% is explained by other factors. O B. The coefficient of determination is 0.647. 35.3% of the variation is explained by the linear correlation, and 64.7% is explained by other factors. O C. The coefficient of determination is 0.647. 64.7% of the variation is explained by the linear correlation, and 35.3% is explained by other factors. O D. The coefficient of determination is 0.353. 35.3% of the variation is explained by the linear correlation, and 64.7% is explained by other factors.
You wish to determine if there is a linear correlation between the age of a driver and the number of driver deaths. The following table represents the age of a driver and the number of driver deaths per 100,000. Use a significance level of 0.01 and round all values to 4 decimal places. Driver Age 65 69 48 37 49 27 62 64 Ho: p = 0 Ha: p = 0 r= Find the p-value p-value= Number of Driver Deaths per 100,000 22 22 34 Find the Linear Correlation Coefficient The p-value is Greater than a Less than (or equal to) a 23 28 20 The p-value leads to a decision to O Do Not Reject Ho O Accept Ho O Reject Ho 33 33 The conclusion is O There is a significant negative linear correlation between driver age and number of driver deaths. There is a significant linear correlation between driver age and number of driver deaths. O There is insufficient evidence to make a conclusion about the linear correlation between driver age and number of driver deaths. O There is a significant positive linear correlation…
Suppose a clinical psychologist sets out to see whether sexual orientation is related to relationship longevity. He decides to measure relationship satisfaction in a group of homosexual couples and a group of heterosexual couples. He chooses the Marital Satisfaction Inventory because it refers to "partner" and "relationship" rather than "spouse" and "marriage," which makes it useful for research with both traditional and nontraditional couples. Higher scores on the Marital Satisfaction Inventory indicate greater relationship satisfaction. The psychologist administers the Marital Satisfaction Inventory to 53 couples-23 are homosexual couples and 30 are heterosexual couples. He wants to calculate the correlation between a couple's relationship satisfaction and sexual orientation. Which of the following types of correlations would be most appropriate for the psychologist to use? O A phi-correlation A Spearman correlation OA point-biserial correlation A Pearson correlation
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 64.0 |403.0 1567.01130.0 274.0 253.0 112.0 156.0 31.0 Justice Salary 30 44 90 58 46 62 25 26 19 J0- JUT 0- 0- 0- 0- 1600 800 Court Income 1600 800 Court Income 1600 800 1600 800 Court Income Court Income The linear correlation coefficient r is 0.8654 (Round to three decimal places as needed.) The test statistic t is (Round to three decimal places as needed.) The P-value is. (Round to three decimal places as needed.) Because the P-value is V than the significance level 0.05, there sufficient evidence to support the claim that there…
Which of the following correlations indicates the strongest relationship or association and why? r = .10; r = .03; r = -.35; r = -15
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