Write your complete solutions.The final test and exam averages for 20 randomly selected students taking a course inengineering statistics and a course in operations research are in the table below.Assume that the final averages are jointly normally distributed.(a) Find the regression line relating the statistics final average to the OR final average.Graph the data.(b) Test for significance of regression using a = 0.05.(c) Estimate the correlation coefficient.(d) Test the hypothesis that p = 0, using a = 0.05.(e) Test the hypothesis that p = 0.5, using a = 0.05.equations on this slide to answer the question)(f) Construct a 95% confidence interval for the correlation coefficient.Statistics OR Statistics OR Statistics OR86808681838175817176756975657271758184859092717294956265838090937684977073728098

The given data indicates the final averages of 20 students in statistics and OR.

Answered: Write your complete solutions. The…

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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7. The table below shows the round-trip fare for flights from one city on major airlines. These were the lowest prices found online in early 2010. The airlines varied, but the travel dates were all the same. Determine the linear regression for the cost of a round-trip ticket given the distance traveled, use your regression to estimate the cost of a 1500-mi flight, and state the correlation coefficient, r, and describe the trend, shape, and strength for the data contained in this problem. Distance (mi.) Cost ($) 205 183 968 180 3097 598 1939 277 1976 313 1033 318 2977 448 1752 408 1143 335
please view the information listed in the photos and answer the questions in both the photos! thank you :)
You generate a scatter plot using Excel. You then have Excel plot the trend line and report the equation and the r2r2 value. The regression equation is reported asy=−38.54x+27.71y=-38.54x+27.71and the r2=0.36r2=0.36.What is the correlation coefficient for this data set?r =
Use the value of the linear correlation coefficient to calculate the coefficient of determination. What does this tell you about the explained variation of the data about the regression line? About the unexplained variation?
Box office totals: The data is the 50 highest grossing films(as of 2021.) Box office totals are measured in billions of dollars. -create a scatter plot with the explanatory variable be the Year and response the Revenue (in billions). Make sure to make a copy of the scatterplot in the word document. -find the equation of the least square's regression line. -interpret the correlation coefficient, and coefficient of determination (One sentence each) -Is year a good predictor of the box office revenue? Give a 1 to 2 sentence reason why you think so or not?
2
A regression modrel examining the amount of distance a long-ddistance runner runs (in miles) to predict the amount of fluid the runner drinks (ounces0 has a slope of 4.6. Which interpretation is appropiate? The correlation is needed to interpret this value. Arunner drinks minimum of 4.6 oz. We predict 4.6 miles for every ounce that drunk. We predict for every mile run, the runner drinks 4.6 more ounces. Each mile adds 4.6 more ounces.
The table below shows the average weekly wages (in dollars) for state government employees and federal government employees for 10 years, construct and interpret a 98% prediction interval for the average weekly wages of federal government employees when the average weekly wages of state government employees is $888 the equation of the regression line is y= 1.453x-47.386. Wages(state), X | 739|760|784|822|898|921|937|954|965| Wages (federal), Y |1,036|1,054|1,105|1,136|1,192|1,253|1,266|1,327|1,400|
The data show the chest size and weight of several bears. Find the regression equation, letting chest size be the independent (x) variable. Then find the best predicted weight of a bear with a chest size of 58 inches. Is the result close to the actual weight of 572 pounds? Use a significance level of 0.05. Chest size (inches) 46 57 53 41 40 40 Weight (pounds) 384 580 542 358 306 320 LOADING... Click the icon to view the critical values of the Pearson correlation coefficient r. What is the regression equation? y=nothing+nothingx (Round to one decimal place as needed.)
A. run a simple regression- dependent variable is Weeks, independent variable is Age. B. run a multiple regression with dependent variable weeks and independent variable-age, married, head, manager and sales. C. Create the regular and standardized residual plots for both. Please show the tables when entering values of the regression for both the outputs and the scatter plots.
Find the equation of the regression line for given data
you are going to buy some calves. What should a healthy weight be? let x be the age of the calf (in weeks), and let y be the weight of the calf (in kg) the calves you want to buy are 12 weeks old. Predict the healthy weight you should expect. x=1 3 10 16 26 36 y=42 50 75 100 150 200 state the correlation coefficient and regression line equation.

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