BookPages (x)Price (y)A500$7.10B7007.60C7509.10D5906.60E5607.60F6507.10G4755.10(a) Develop a least squares estimated regression line. (Round your numerical values to three decimal places.)(b) Compute the coefficient of determination. (Round your answer to four decimal places.)Explain its meaning. (Give your answer as a percent. Round your answer to two decimal places.)The value of the coefficient of determination tells us that% of the variability in |--?-- ☑ has been explained by the least squares regression equation. (c) Compute the correlation coefficient between the price and the number of pages. (Round your answer to four decimal places.)(d) Test to see if x and y are related using the t-test. Use α = 0.10.State the null and alternative hypotheses.Hint: Be sure to review the parameter for the test and it's form.Once you click into the answer cell, you must enter your answer using the MathPad to the right.Start with the Greek letter, then using a subscript under function. (Enter != for as needed.)Ho:HaFind the value of the test statistic. (Round your answer to three decimal places.)Find the p-value. (Round your answer to four decimal places.)p-value=What is your conclusion?Do not reject Ho. We cannot conclude that the relationship between x and y is significant.Reject Ho. We cannot conclude that the relationship between x and y is significant.Reject Ho.We conclude that the relationship between x and y is significant.Do not reject Ho. We conclude that the relationship between x and y is significant.

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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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Use the least squares regression model to estimate the maximum sustained wind speed in a hurricane when the pressure reading is 950 mb. Interpret the slope of the least squares regression model in the context of wind speed and atmospheric pressure. Determine the coefficient of determination and interpret its meaning in the context of wind speed and atmospheric pressure.
Use the time/tip data from the table below, which includes data from New York City taxi rides. (The distances are in miles, the times are in minutes, the fares are in dollars, and the tips are in dollars.) Find the regression equation, letting time be the predictor (x) variable. Find the best predicted tip for a ride that takes 22 minutes. How does the result compare to the actual tip amount of $5.05? Distance 1.40 0.68 0.49 1.32 18.00 6.00 2.00 8.00 12.30 6.30 4.80 7.80 2.46 1.89 0.00 0.00 Time Fare Tip 12.71 1.65 1.80 27.00 11.00 25.00 36.80 9.80 16.30 0.00 1.96 1.50 ... 2.47 D 18.00 14.30 4.29 The regression equation is y = y=+x. (Round the y-intercept to two decimal places as needed. Round the slope to four decimal places as needed.) The best predicted tip for a ride that takes 22 minutes is $ (Round to the nearest cent as needed.) How does the result compare to the actual tip amount of $5.05?
How much should a healthy Shetland pony weigh? Let x be the age of the pony (in months), and let y be the average weight of the pony (in kilograms). x 3 6 12 20 26 y 60 95 140 160 189 (a) Make a scatter diagram of the data and visualize the line you think best fits the data. Flash Player version 10 or higher is required for this question. You can get Flash Player free from Adobe's website. (b) Would you say the correlation is low, moderate, or strong? low moderate strong Would you say the correlation is positive or negative? positive negative (c) Use a calculator to verify that x = 67, x2 = 1265, y = 644, y2 = 93,546, and xy = 10,544. Compute r. (Round your answer to three decimal places.) As x increases from 3 to 26 months, does the value of r imply that y should tend to increase or decrease? Explain your answer. Given our value of r, y should…
Use the data in the table below to complete parts (a) through (d). 39 33 40 47 42 50 59 56 51 24 22 27 32 30 31 31 27 29 Click the icon to view details on how to construct and interpret residual plots. (a) Find the equation of the regression line. (Round to three decimal places as needed.) (b) Construct a scatter plot of the data and draw the regression line. Plot the x-values on the horizontal axis and the y-values on the vertical axis. Choose the correct graph below. OA. В. Oc. OD. 34 70, (c) Construct a residual plot. Plot the x-values on the horizontal axis and the residuals on the vertical axis. Choose the correct graph below. O A. Ов. Oc. OD. (d) Determine if there are any patterns in the residual plot and explain what they suggest about the relationship between the variables. The residual plot a pattern because the residuals about 0. This implies the regression line a good representation of the relationship between the variables.
The following data is given: x -2 -1 0 1 2 y 1.5 3.2 4.5 3.4 2 Determine the coefficients a and b in the function y=a/(x2+b) that best fit the data. (Write the function in a linear form, and use linear least-squares regression to determine the value of the coefficients.) Once the coefficients are determined make a plot that shows the function and the data points.
Q: Use the dataset posted below to find a multiple regression model to predict the salary as a function of all five of the adjusted cost of living rates. (Solve in Excel) Interpret the slope coefficient for the Housing rate in context. Interpret the adjusted R2 value and the standard error of the estimate value in context. Cost of Living Adjustments City Comparative Salary Groceries Housing Utilities Transportation Healthcare Atlanta $60,482.00 15% 25% -10% 6% 5% Austin $57,530.00 -8% 13% -1% -1% 6% Boston $85,904.00 16% 141% 43% 11% 33% Charleston $60,904.00 18% 22% 11% -7% 10% Charlotte $58,012.00 11% 5% 2% -2% 6% Chicago $70,000.00 23% 73% 1% 18% 2% Columbus $54,578.00 1% -1% -5% -6% -1% Dallas $58,072.00 12% -4% -3% 1% 5% DC $87,892.00 20% 214% -6% 13% -3% Denver $65,843.00 7% 64% -8% 1% 11% Detroit $57,590.00 -2% 15% 0% 6% -1% Indianapolis $55,120.00 3% 4% -11% -6% 1% Los Angeles $83,795.00 16% 168% 10% 29% 13%…
The cost of a flight is related to the distance traveled: Miles Cost ($) 225 38.5 525 76.1 1,100 119 1,375 142 1,950 200 2,250 244 a)Graph the scatter plot on your calculator. Is the data linear, quadratic, or exponential? b) Use the appropriate regression to find the equation of best fit. c) Use your model to predict the cost of a flight that travels 800 miles? Is this interpolation or extrapolation? d) Use your model to predict the cost of a flight that travels 3000 miles. Is this interpolation or extrapolation?
How is the Polynomial Regression model different from the Simple Linear Regression and Multiple Linear Regression models? Select an answer: a. The independent variables are categorical instead of numerical. b. There are multiple dependent variables instead of just one. c. The independent variable is raised to a higher power (squared, cubed, etc.). d. The dependent variable is raised to a higher power (squared, cubed, etc.).
Grades on Midterm Grades on Final79 8464 7676 8385 9170 7586 7960 7975 8781 8263 63 The following table gives the data for the grades on the midterm exam and the grades on the final exam. Determine the equation of the regression line, yˆ=b0+b1x . Round the slope and y-intercept to the nearest thousandth.
Regression was used to determine if the number of beers a person drinks predicts blood alcohol content (BAC) in a random sample of college students. The results are in the table below. Intercept Beers Coefficients Standard Error 0.013 0.002 -0.013 0.018 t Stat P-value -1.005 0.332 7.480 2.97E-06 Write out the answers to each of the following questions and upload a picture of yo a. Write out the prediction equation. b. Interpret the slope. c. What is the predicted value for BAC for someone who drank 3 beers? Show your work. d. If the number of beers equals 5 and the BAC equals 0.10, what is the residual? Show your work.

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