The matrix below shows all bivariate correlations between four quantitative variables:X1X2X3Х4X11.000-0.4560.4110.341X21.000-0.501-0.211X31.0000.085X41.000The correlation between which two variables is the strongest?O X1 and X3O X2 and X3O X1 and X2O X3 and X4

Introduction: There are 6 pairs of random variables yielding 6 correlations. The pairs are, X1 and…

Answered: The matrix below shows all bivariate…

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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A grocery store manager did a study to look at the relationship between the amount of time (in minutes) customers spend in the store and the amount of money (in dollars) they spend. The results of the survey are shown below. Time 30 14 23 25 21 28 8 Money 127 80 98 123 77 106 32 Find the correlation coefficient: r=r= Round to 2 decimal places. The null and alternative hypotheses for correlation are:H0:H0: ? ρ r μ == 0H1:H1: ? r ρ μ ≠≠ 0 The p-value is: (Round to four decimal places) Use a level of significance of α=0.05α=0.05 to state the conclusion of the hypothesis test in the context of the study. There is statistically significant evidence to conclude that a customer who spends more time at the store will spend more money than a customer who spends less time at the store. There is statistically significant evidence to conclude that there is a correlation between the amount of time customers spend at the store and the amount of money that they spend at…
Which of the following correlation coefficient would reflect a conclusion made by a researcher that two variables are not related? r = –.30 r = +.02 r = +.36 r = –.98
A portfolio is created by investing equally into two stocks: Stock A and Stock B. The table below provides the volatility of each stock as well as the correlation between the stock's return and the return of the portfolio. Find the correlation between the returns of these two stocks. Stock A Stock B Volatility 0.49 0.36 Correlation with Portfolio Return 0.71 0.30
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A biologist looked at the relationship between number of seeds a plant produces and the percent of those seeds that sprout. The results of the survey are shown below. Seeds Produced 65 51 59 66 42 62 61 69 65 Sprout Percent 64.5 65.5 64.5 49 72 61 50.5 54.5 50.5 Find the correlation coefficient: r=r= Round to 3 decimal places. The null and alternative hypotheses for correlation are:H0:H0: == 0H1:H1: ≠≠ 0 The p-value is: ? (Round to 5 decimal places) r2 = ? (Round to 3 decimal places)
A study was done to look at the relationship between number of movies people watch at the theater each year and the number of books that they read each year. The results of the survey are shown below. Movies 10 4 10 4 0 2 10 7 5 7 8 8 Books 4 8 9 10 16 15 7 7 9 6 5 9 Find the correlation coefficient: r=r= Round to 2 decimal places. The null and alternative hypotheses for correlation are:H0:H0: ? ρ r μ == 0 H1:H1: ? μ ρ r ≠≠ 0 The p-value is: Round to 4 decimal places. Use a level of significance of α=0.05α=0.05 to state the conclusion of the hypothesis test in the context of the study. There is statistically insignificant evidence to conclude that there is a correlation between the number of movies watched per year and the number of books read per year. Thus, the use of the regression line is not appropriate. There is statistically significant evidence to conclude that a person who watches fewer movies will read fewer books than a person who watches fewer…
Does a major league baseball team's record during spring training indicate how the team will play during the regular season? Over a six-year period, the correlation coefficient between a team's winning percentage in spring training and its winning percentage in the regular season is . Shown are the winning percentages for the American League teams during a season. Team SpringTraining RegularSeason Team SpringTraining RegularSeason Baltimore Orioles 0.409 0.424 Minnesota Twins 0.492 0.542 Boston Red Sox 0.426 0.588 New York Yankees 0.579 0.559 Chicago White Sox 0.411 0.535 Oakland A's 0.690 0.468 Cleveland Indians 0.578 0.492 Seattle Mariners 0.492 0.379 Detroit Tigers 0.578 0.459 Tampa Bay Rays 0.722 0.601 Kansas City Royals 0.540 0.461 Texas Rangers 0.640 0.491 Los Angeles Angels 0.724 0.619 Toronto Blue Jays 0.442 0.533 a. What is the correlation coefficient between the spring training and the regular season winning percentages…
Solve the second one
A biologist looked at the relationship between number of seeds a plant produces and the percent of those seeds that sprout. The results of the survey are shown below. Seeds Produced 44 69 42 45 57 51 59 43 40 Sprout Percent 61 50.5 72 71.5 54.5 60.5 56.5 63.5 62 Find the correlation coefficient: r=r= Round to 3 decimal places. The null and alternative hypotheses for correlation are:H0:H0: == 0H1:H1: ≠≠ 0 The p-value is: ? (Round to 5 decimal places)
The 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 grocery store manager did a study to look at the relationship between the amount of time (in minutes) customers spend in the store and the amount of money (in dollars) they spend. The results of the survey are shown below. Time 10 8 6 13 19 18 27 10 7 Money 58 25 41 51 84 81 87 45 15 Find the correlation coefficient: r=r= Round to 2 decimal places. The null and alternative hypotheses for correlation are:H0:H0: == 0H1:H1: ≠≠ 0 The p-value is: (Round to four decimal places) Use a level of significance of α=0.05α=0.05 to state the conclusion of the hypothesis test in the context of the study. There is statistically insignificant evidence to conclude that there is a correlation between the amount of time customers spend at the store and the amount of money that they spend at the store. Thus, the use of the regression line is not appropriate. There is statistically significant evidence to conclude that there is a correlation between the amount of time…
GRC often rely heavily on raising money for an "annual fund" to support operations. Alumni are typically solicited for donations to the annual fund. Studies suggest that the graduate's annual income is a good predictor of the amount of money he or she would be willing to donate, and there is a reasonably strong, positive, linear relationship between these variables. In the studies described: O a. annual income is the predictor variable O b. the correlation between annual income and the size of the donation is negative. O c. the size of the donation to the annual fund is the predictor variable O d. All of the above O e. None of the above

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The matrix below shows all bivariate correlations between four quantitative variables: X1 X2 X3 Х4 X1 1.000 -0.456 0.411 0.341 X2 1.000 -0.501 -0.211 X3 1.000 0.085 1.000 X4 The correlation between which two variables is the strongest? O X1 and X3 O X2 and X3 O X1 and X2 X3 and X4