Which of the following are assumptions when fitting a least squares line in linear regression? (Select all that apply) Question 5 options: Linearity: The data should show a linear trend Nearly normal residuals: generally the residuals must be nearly normal Constant variability: Variability of points around the least squares line must remain roughly constant Symmetry: Lines of best fit should fit symmetrically along the median value

Which of the following are assumptions when fitting a least squares line in linear regression? (Select all that apply) Question 5 options: Linearity: The data should show a linear trend Nearly normal residuals: generally the residuals must be nearly normal Constant variability: Variability of points around the least squares line must remain roughly constant Symmetry: Lines of best fit should fit symmetrically along the median value

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The data below represents commute times (in minutes) and scores on a well-being survey. Complete parts (a) through (d) below. Commute time (in minutes), x 5, 20, 25, 40, 60, 84, 105 Well-being index score, y 69.1, 67.8, 67.1, 66.3, 66.0, 64.3, 62.3 Find the least-squares regression line treating the commute time, x, as the explanatory variable and the index score, y, as the response variable. y=___x + ____ (round to three decimal places as needed).
Bowling Corporation wants to know how closely its current cost driver is correlated with its monthly operating costs. The managerial accountant runs a regression analysis using a statistical software program and produces the following data: Intercept Coefficient = 12,200,567 X Variable 1 Coefficient = 95.65 R-square= 0.8574 What is the Bowling Corporation's monthly cost equation? OA. y $95.65x + $12,200,567 OB. y $95.65x + $8.574 O c. y = $0.8574x + $12,200,567 O D. y = $12,200,567x + $8,574 ---
Report the equation of the regression line and interpret it in the context of the problem
True or false? If the statement is false, use one or two sentences to justify your answer.
Used cars 2010 Vehix.com offered several used ToyotaCorollas for sale. The following table displays the ages ofthe cars and the advertised prices. a) Make a scatterplot for these data.b) Do you think a linear model is appropriate? Explain.c) Find the equation of the regression line. d) Check the residuals to see if the conditions for infer-ence are met. Age (yr) Price ($) Age (yr) Price ($)1 15988 6 99951 13988 6 119882 14488 7 89903 10995 8 94883 13998 8 89954 13622 9 59904 12810 10 41005 9988 12 2995
What is the least-squares regression line with the point (9,13) included in the data set? Data Set x y 3 6 4 5 5 7 7 6 8 9 8 8 10 8 11 9 11 7 12 10 13 12 13 10 14 11 This is a reading assessment question. ..... y hat = ______x + ______ Type integers or decimals rounded to 4 decimal places as needed
In linear regression analysis, the coefficient for the x-variable when the y-variable is regressed on the x-variable can be thought of as: Note: more than one answer may be correct Group of answer choices How much the value of the predicted y-variable will change when the x-variable changes by one unit. In the simple (two variable) linear regression model, the coefficient can be thought as the slope coefficient that measures the responsiveness of y to changes in x. The estimated coefficient will change if the sample containing x and y changes. The sample coefficient is an estimate of the population coefficient Before interpreting the coefficient for the x-variable, we should test whether the coefficient is statistically significant.
(e) Find the least-squares regression line treating square footage as the explanatory variable.
a) Determine the least squares regression equation for the population in years since 2005. Round the slope and y-intercept to the nearest tenth. b) Find the correlation coefficient, r-value, of the line. Round your answer to the nearest thousandth. c) Predict the population for the 2020. ____ thousand people
LINEAR CORRELATION PROJECT / Topic: Does per capita income affect birth rates I need help with the trendline, the hypothesis, and conclusion, any confounding variables there might be and the r- value, and compare the r-value to the appropriate cutoff value, with correct interpretation. (remember for a sample size of 20, the absolute value of r should be greater than 0.45) The regression equation is: y=21.129−0.108xwhere y: average birth rate and x: per capita incomey and x is negatively related i.e with increase in x , y decreses and vice versa ((* for a sample size of 20, the absolute value of r should be greater than 0.45)) Country Per Capita Income Average Birth Rate Afghanistan $ 530 37.9 Austria $ 51,460 9.5 Cambodia $ 1,530 23 Canada $ 46,370 10.3 Denmark $ 63,950 10.5 Ecuador $ 6,090 17.9 Ethiopia $…
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Create two lists and make a scatterplot of the data and find the line-of-best-fit (regression line). For part a below, round all number values in your answer to the nearest tenth. a) What is the equation of the line-of-best-fit? ________________________ b) To the nearest thousandth, what is the value of the correlation coefficient, r ? _________ c) According to the regression equation from part a, what is the predicted salary for year 8? Round your answer to the nearest dollar. __________________

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	Linearity: The data should show a linear trend
	Nearly normal residuals: generally the residuals must be nearly normal
	Constant variability: Variability of points around the least squares line must remain roughly constant
	Symmetry: Lines of best fit should fit symmetrically along the median value