. Consider the scatterplot and least-squares regression line shown here.20000+15000+10000+y5000-of-5000-012345678910x Which of the following could represent a residual plot for this fit?(A)(B)0(E)Residuals01 2 3 45 6 7 8 9 10x012 3456 7 8 9 10x012 3 4 5 6 7 8 9 100123456 7 8 9 10xx0123456 79 10x

In order to determine which residual plot could represent a good fit, we need to understand the…

Answered: . Consider the scatterplot and…

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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The equation of the least-squares regression line is ý = 68.5 + 11.4x, where ý is the number of students enrolled and x is number of years the school has been The number of students enrolled at a school varies from year to year. For the first eight years the school is open, the number of students enrolled is recorded in the table shown. open. Which shows the residual plot? Students 92 Year 2. 94 100 104 80 4 60 113 131 40 7. 8. 147 176 20 -20 0. 2. 4. 8. Number of Years 3. 56
The poverty level for a family of four, two parents with two children under 18, for selected years from 1990 is shown in the following table. Poverty Threshold for a Family of Four Year 1990 1997 2000 2005 Threshold $14,300 $15,400 $18,800 $20,150 (a) Find the least squares linear regression function for threshold level as a function of years since 1990. (Let x = 0 represent the year 1990. Round your coefficients to one decimal place.) y = (b) Use the linear function to estimate when the poverty threshold level will reach $27,000. (Round your answer down to the nearest year.) The threshold level is estimated to reach $27,000 in the year 2016
The following data are the average annual repair cost (in O.R.) and the age of automobiles ( in years). Car age (x) 1 2 3 4 5 Repair Cost (y) 100 150 320 350 380 Find the equation of Y on X by least-squares regression method.
Use least squares regression to fit a line to the table data below.
In a simple regression, the ordinary least squares estimate of the slope coefficient is expected to be more precise the greater is the variation in the dependent variable and the lesser is the variation in the independent variable. True False
Compute the least-squares regression equation for the given data set. Use a TI-84 calculator. Round the slope and y-intercept to at least four decimal places. 43 37 15 19 24 37 18 y 72 67 25 29 42 65 32 Send data to Excel Regression line equation: y = 1.7777x + 1.5838
Suppose Wesley is a marine biologist who is interested in the relationship between the age and the size of male Dungeness crabs. Wesley collects data on 1,000 crabs and uses the data to develop the following least-squares regression line where X is the age of the crab in months and Y is the predicted value of Y, the size of the male crab in cm. Y = 8.2052 + 0.5693X What is the value of Ý when a male crab is 21.7865 months old? Provide your answer with precision to two decimal places. Interpret the value of Ý. The value of Ý is the probability that a crab will be 21.7865 months old. the predicted number of crabs out of the 1,000 crabs collected that will be 21.7865 months old. the predicted incremental increase in size for every increase in age by 21.7865 months. the predicted size of a crab when it is 21.7865 months old.
The total number of views a certain video has on a social media website is recorded every day for five days. The results are recorded in the table below. Day 0 1 2 3 4 5 Total Views 2018 4575 14,724 39,019 93,130 317,352 a) Determine an exponential regression of the form y = ab using the least-squares method to fit this data, where y is the total number of views the video has on day x. Round each value to four decimal places. b) Using the regression from a), how many views will the video have at the end of day 7 ? Round to the nearest whole number.
Fit the regression line X1 3 5 6 8 12 14 X2 16 10 7 4 3 2
A student is preparing to take a stand allies exam she was told that she needs to get plenty of sleep the night before the exam she is interested in the relationship between the number of hours of sleep a student gets her for an exam and the score earned on the exam. She collects information from 10 other students who have already taken the exam as shown on the table. she fits at least squares regression line to the data and determines the equation of the line is why equals 26-0.18 X where why is the score earn on the exam and ask is the number of hours of sleep the night before the exam. The residual is given. based on the residual plot is the linear model appropriate? no, there is no clear pattern in the residual plot. yes, there is no clear pattern in the residual plot. no, the student who got the most you've had a negative residual yes, there are more negative residuals (6) then positive residuals (4)
Find the least-squares regression line ?̂ =?0+?1? through the points (−3,0),(1,9),(5,14),(9,19),(12,24). For what value of ? is ?̂ =0

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