The percentage of damage is thought to be a function of speed. In 15 different vehicles, theobservationsbetween speed and damage percentage were made, which can be seen in the table below.SpeedDamage Percentage85508035562862302138228115251074305019391894361004532941Assuming a linear relationship between velocity and percentage of damage E(Y\x) = a + ßx.calculate the regression coefficients. (Calculate by hand and get the result with at least fourdecimal places)a) Calculate the determination coefficient and the corrected determination coefficient of regression.(Calculate by hand and get the result with at least four decimal places)b) Plot the distribution between the velocity and the percentage of damage and add the regressionline to this graph. Plot this chart with Excel and add the equation of determination coefficient andregression line from the options on the chart so that you can compare the valuesthat you calculated in options a and b with these values.and R²c) Obtain 95% confidence intervals of regression coefficients. (Calculate manually and get the resultwith at least four decimal places.) please)d) Test the significance of the regression. The zero hypothesis should be that the slope is zero. Writedown the alternative hypothesis and the result of the test along with the istatistic interpretation.(Calculate by hand and get the result with at least four decimal places)e) Repeat the regression with R and compare the results obtained above. Add the output with R codeto your answer as a screenshot

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Answered: The percentage of damage is thought to…

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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In the table below is a column of masses for various individuals. 20 Kg (kllograms), for instance, is a typical mass for a young child while 80 kg Is characteristic of an adult's mass, If you were to travel to the Moon, your weight would change but your mass would remain the same. Roughly speaking, mass is a measure of the amount of "stuff" you're made of (matter). In the United States we commonly measure weight using the English pound. Another common unit for measuring weight is the Newton. The second column in the table shows the corresponding weight, in Newtons, for each individual. These are the weights on Earth. Plot each pair of numbers as an ordered pair on the graph. Use the vertical ("y") axis for the weights and the horizontal ("x") axis for mass. Label your axes. Draw a best fit line through the points and measure the slope of this line. On your plot, mark and circle the points you use to determine the slope. The slope gives you the "weight per unit mass" here on Earth. In…
The cost of fuel is the largest component of cost of ownership for most vehicles. Fuel cost is (almost) inversely proportional to gas mileage; higher gas mileage means lower fuel cost and vice-versa. If you keep track of the number of miles driven on each tank of gas as well as how much gas is purchased, it is easy to calculate gas mileage; many cell phone apps exist to track this. The data in the following table is the gas mileage for Mr. Hebert's 2015 Jeep Wrangler Unlimited. 12.85 14.98 15.36 17.09 18.86 13.28 15.11 15.62 17.50 19.07 13.48 15.12 15.65 17.66 20.91 14.65 15.13 16.41 18.17 21.17 14.71 15.14 16.80 18.27 22.11 f. Construct a 95% confidence interval to estimate the average fuel economy of the jeep. enter your response here≤μ≤enter your response here (Round your answers to 2 decimal places.)
It is thought that prehistoric Indians did not take their best tools, pottery, and household items when they visited higher elevations for their summer camps. It is hypothesized that archaeological sites tend to lose their cultural identity and specific cultural affiliation as the elevation of the site increases. Let x be the elevation (in thousands of feet) for an archaeological site in the southwestern United States. Let y be the percentage of unidentified artifacts (no specific cultural affiliation) at a given elevation. Suppose that the following data were obtained for a collection of archaeological sites in New Mexico: x 5.00 5.25 5.75 6.75 7.00 y 8 15 13 49 71 Find the equation of the least squares line . Round a and b to three decimal places. Find the correlation coefficient r for the elevation and percentage of unidentified artifacts (no specific cultural affiliation) at a given elevation
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It is thought that prehistoric Indians did not take their best tools, pottery, and household items when they visited higher elevations for their summer camps. It is hypothesized that archaeological sites tend to lose their cultural identity and specific cultural affiliation as the elevation of the site increases. Let x be the elevation (in thousands of feet) for an archaeological site in the southwestern United States. Let y be the percentage of unidentified artifacts (no specific cultural affiliation) at a given elevation. Suppose that the following data were obtained for a collection of archaeological sites in New Mexico: x 5.75 6.25 6.75 7.75 8.25 y 31 26 38 74 72 Find the value of the coefficient of determination r2. Group of answer choices
You are interested in the relationship between gender and violent victimization. You have the data below: Victimization No Yes Total Gender b. Interpret Lambda. Male 150 50 200 Female 190 10 200 Total 340 60 400 a. Calculate Lambda. If needed, take a picture of your work and insert directly into the workspace.
The number of pounds of steam used per month by a chemical plant is thought to be related to the average ambient temperature (in F) for that month. The past year's usage and temperatures are in the following table: Usage/ Month Temp. 1000 Month 21 185.79 July. 24 214.47 Aug. 32 288.03 Sept. 47 424.84 Oct. 50 454.58 Nov. 59 539.03 Dec. Jan. Feb. Mar. Apr. May June Temp. 68 74 62 50 41 30 Identify which are the independent and dependent variables. Usage/ 1000 621.55 675.06 562.03 452.93 369.95 273.98
The cost of fuel is the largest component of cost of ownership for most vehicles. Fuel cost is (almost) inversely proportional to gas mileage; higher gas mileage means lower fuel cost and vice-versa. If you keep track of the number of miles driven on each tank of gas as well as how much gas is purchased, it is easy to calculate gas mileage; many cell phone apps exist to track this. The data in the following table is the gas mileage for Mr. Hebert's 2015 Jeep Wrangler Unlimited. 12.85 14.98 15.36 17.09 18.86 13.28 15.11 15.62 17.50 19.07 13.48 15.12 15.65 17.66 20.91 14.65 15.13 16.41 18.17 21.17 14.71 15.14 16.80 18.27 22.11 c. Find the five number summary. enter your response here, enter your response here, enter your response here, enter your response here, enter your response here
It is thought that prehistoric Indians did not take their best tools, pottery, and household items when they visited higher elevations for their summer camps. It is hypothesized that archaeological sites tend to lose their cultural identity and specific cultural affiliation as the elevation of the site increases. Let x be the elevation (in thousands of feet) for an archaeological site in the southwestern United States. Let y be the percentage of unidentified artifacts (no specific cultural affiliation) at a given elevation. Suppose that the following data were obtained for a collection of archaeological sites in New Mexico: x 5.75 6.75 7.75 8.50 9.25 y 27 16 46 62 95 What percentage of the variation in y cannot be explained by the corresponding variation in x and the least-squares line? Round your answer to the nearest tenth of a percent. 3.4% 18.4% 81.6% 9.7%

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The percentage of damage is thought to be a function of speed. In 15 different vehicles, theobservations between speed and damage percentage were made, which can be seen in the table below.