Suppose a study is conducted using only Boeing 737s traveling 800Kms oncomparable routes during the same season of the year. Can the number ofpassengers predict the cost of flying such routes? It seems logical that morepassengers result in more weight and more baggage, which could, in turn, result inincreased fuel consumption and other costs. Suppose the data displayed in thetable below are the costs and associated number of passengers for twelve 800-kmscommercial airline flights using Boeing 737s during the same season of the year.We will use these data to develop a regression model to predict cost by number ofpassengers. A plot of the data collected is shown in Figure 3.Cost600550500450400350300566778Number of Passengers89910Figure 3: Scatter plot of number of passengers on the x-axis andCost on the y-axis. d) Using the output in Figure 4, determine the estimated least squaresregression equation that represents the relationship between Cost (y) andnumber of passengers (x)?e) Use the regression equation from (d) to estimate the Cost when number ofpassengers are 80 and comment on the usefulness of this predictionSUMMARY OUTPUTRegression StatisticsMultiple RR SquareAdjusted R SquareStandard ErrorObservationsInterceptNumber of Passengers0.95130.90500.8977162.195215Coefficients Standard Errort Stat1600.78340.436P-value Lower 95% Upper 95%5.501 0.000 972.06811.129 0.00032.587291.0223.6332229.49848.285Figure 4: Output from regression analysis on number of passengers / Cost data

Answered: Image /qna-images/answer/4e5d8a6d-b5ff-49ad-9b81-06f3af0ed40c.jpg

Answered: d) Using the output in Figure 4,…

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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I need help with number 14, please.
Please answer as many as your allowed too. Thank you :) A regression was run to determine if there is a relationship between the happiness index (y) and life expectancy in years of a given country (x).The results of the regression were: ˆyy^=a+bxa=-1.68b=0.168 (a) Write the equation of the Least Squares Regression line of the formˆyy^= + x(b) Which is a possible value for the correlation coefficient, rr? -1.417 1.417 0.702 -0.702 (c) If a country increases its life expectancy, the happiness index will increase decrease (d) If the life expectancy is increased by 0.5 years in a certain country, how much will the happiness index change? Round to two decimal places.(e) Use the regression line to predict the happiness index of a country with a life expectancy of 69 years. Round to two decimal places.
A company that manufactures computer chips wants to use a multiple regression model to study the effect that 3 different variables have on y, the total daily production cost (in thousands of dollars). Let B,, B,, and B, denote the coefficients of the 3 variables in this model. Using 22 observations on each of the variables, the software program used to find the estimated regression model reports that the total sum of squares (SST) is 485.84 and the regression sum of squares (SSR) is 229.91. Using a significance level of 0.10, can you conclude that at least one of the independent variables in the model provides useful (i.e., statistically significant) information for predicting daily production costs? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (a) State the null hypothesis H, for the test. Note that the alternative hypothesis H, is given. H, :0 H, : at least one of the independent variables is useful…
Construct the equation of the regression line. An editing firm compiled the following table which lists the number of pages contained in a piece of technical writing and the cost of proofreading and correcting them (in dollars). Assume there is a significant linear relationship between X and Y and construct the equation of the linear regression line. Number of Pages, x 7 12 4 14 25 30 Cost, y 128 213 75 250 446 540 a.) y^= 17.9(x) + 1.6 b.) y^= 7.1(x) + 15.4 c.) y^= 15.4(x) + 7.1 d.) y^= 1.6(x) +
Show the best fitted line on scatter diagram and Find the predicted value for each y using the exposure time and the equation obtained in part b (b. Find the equation of regression line between radiation doses on exposure time .usingleast square method)
Compute the least-squares regression line for predicting the number of stays from the cost. Round your answers to four decimal places.
A biologist is interested in predicting the percentage increase in lung volume when inhaling (y) for a certain species of bird from the percentage of carbon dioxide in the atmosphere (x). Data collected from a random sample of 20 birds of this species were used to create the least-squares regression equation ŷ = 400-0.08x. Which of the following best describes the meaning of the slope of the least-squares regression line? (A) The percentage increase in lung volume when inhaling increases by 0.08 percent, on average, for every 1 percent increase in the carbon dioxide in the atmosphere. (B) The percentage of carbon dioxide in the atmosphere increases by 0.08 percent, on average, for every 1 percent increase in lung volume when inhaling. (C) The percentage increase in lung volume when inhaling decreases by 0.08 percent, on average, for every 1 percent increase in the carbon dioxide in the atmosphere. (D) The percentage of carbon dioxide in the atmosphere increases by 0.08 percent, on…
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A researcher wishes to examine the relationship between years of schooling completed and the number of pregnancies in young women. Her research discovers a linear relationship, and the least squares line is: ˆy=5−4xy^=5-4x where x is the number of years of schooling completed and y is the number of pregnancies. The slope of the regression line can be interpreted in the following way: When amount of schooling increases by one year, the number of pregnancies tends to decrease by 4. When amount of schooling increases by one year, the number of pregnancies tends to increase by 4. When amount of schooling increases by one year, the number of pregnancies tends to increase by 5. When amount of schooling increases by one year, the number of pregnancies tends to decrease by 5.
Students who are going to college have a cost per credit. The chart below is a cost of tuition cost increase over the years. A table of the yearly cost is listed below. A) Use technology (graphing calculator or excel) to determine the least squares regression line for the best fit line for the data given above. List the equation and R^2 Regression factor. B) Use your equation from technology to estimate how much college credits will cost in 2021
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 12 26 5 28 11 24 20 21 16 Money 37 84 34 84 53 92 72 92 75 The equation of the linear regression line is: ˆyy^ = + xx (Please show your answers to two decimal places) Use the model to predict the amount of money spent by a customer who spends 20 minutes at the store.Dollars spent = (Please round your answer to the nearest whole number.)
8. Which is the linear regression equation for a scatterplot with these points rounded to the nearest tenth: (4, 35), (6.5, 92), (2. 10). (5, 50), (6, 85), (10, 110)?

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