MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- Select the equation of the least squares line for the data: (51.00, 1.0), (48.75, 2.5), (52.50, .5), (46.50, 5.0), (45.00, 4.5), (41.25, 6.5), (43.50, 5.0). a) ŷ = -28.956 − 0.54067x b) ŷ = 28.956 − 0.59474x c) ŷ = 0.54067x − 28.956 d) ŷ = 31.852 − 0.59474x e) ŷ = 28.956 − 0.54067x f) None of the abovearrow_forwardMatch the coefficient of determination to the scatter diagram. The scales on the x-axis and y-axis are the same for each scatter diagram. (a) R2 = 1, (b) R? =0.90, (c) R² = 0.58 (a) Scatter diagram I| Explanat ory (b) Scatter diagram (c) Scatter diagram Explanatory II Explanatoryarrow_forwardQ22arrow_forward
- The least squares regression line for a set of data is calculated to be y = 24.8 + 3.41x. (a) One of the points in the data set is (4, 37). Calculate the predicted value. (b) For the point in part (a), calculate the residual.arrow_forwardhow to solve?arrow_forwardThe scatter plot below shows the average cost of a designer jacket in a sample of years between 2000 and 2015. The least squares regression line modeling this data is given by yˆ=−4815+3.765x. A scatterplot has a horizontal axis labeled Year from 2005 to 2015 in increments of 5 and a vertical axis labeled Price ($) from 2660 to 2780 in increments of 20. The following points are plotted: (2003, 2736); (2004, 2715); (2007, 2675); (2009, 2719); (2013, 270). All coordinates are approximate. Interpret the slope of the least squares regression line. Select the correct answer below: 1.The average cost of a designer jacket decreased by $3.765 each year between 2000 and 2015. 2.The average cost of a designer jacket increased by $3.765 each year between 2000 and 2015. 3.The average cost of a designer jacket decreased by $4815 each year between 2000 and 2015. 4. The average cost of a designer jacket increased by $4815 each year between 2000 and…arrow_forward
- A MLR model is built to predict the Sales Price of a home (Y) from: Assessed Value (X1) Whether the home has a fireplace (X2) - yes or no The MLR model is: Y=3126.67 + 1.34*X1 + 537.76*X2 What does the 537.76 tell you?arrow_forwardThe least-squares regression equation is y=761.7x+13,208 where y is the median income and x is the percentage of 25 years and older with at least a bachelor's degree in the region. The scatter diagram indicates a linear relation between the two variables with a correlation coefficient of 0.7483. Predict the median income of a region in which 20% of adults 25 years and older have at least a bachelor's degree.arrow_forwardThe final question in the example is (f) At an archaeological site with elevation 6.6 (thousand feet), what does the least-squares equation forecast for y = percentage of culturally unidentified artifacts? (Round your answer to two decimal places.) %arrow_forward
- study investigated how the content of vitamin A in carrots is affected by the time being cooked. In this example: X represents the amount of time, in minutes, that the carrot slices were cooked Y represents the content of vitamin A (in milligrams) in the carrot slices The least-squares regression equation for this relationship is: Y = 22.4 – 0.65X Using the regression equation, predict the vitamin A content (in milligrams) for a carrot slice that was cooked for 15 minutes. Provide your answer as a numeric value rounded to two decimal places.arrow_forwardThe accompanying data represent the total compensation for 12 randomly selected chief executive officers (CEOS) and the company's stock performance. Use the data to complete parts (a) through (d). E Click the icon to view the data table. (a) Treating compensation as the explanatory variable, x, use technology to determine the estimates of Bo and B,- The estimate of B, is (Round to three decimal places as needed.) Data Table of Compensation and Stock Performante Compensation Company (millions of dollars) Return (%) O Stock A 14.71 75.73 В 4.02 64.29 C 6.55 141.81 D 1.32 30.73 1.73 10.75 2.43 29.05 12.26 0.56 7.07 66.32 9.51 56.31 J 3.83 58.48 K 21.29 21.52 6.63 31.85 Print Donearrow_forwardPls show work so I can understandarrow_forward
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