Understanding Basic Statistics
8th Edition
ISBN: 9781337558075
Author: Charles Henry Brase, Corrinne Pellillo Brase
Publisher: Cengage Learning
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Chapter 4.2, Problem 2P
Statistical Literacy In the least squares line
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In regression, what distance is minimized by the regression line?
a - The squared distance between X and X^ (X-hat)
b - The squared distance between Y and Y^ (Y-hat)
c - The squared distance between X and Y
d - The squared distance between X^ (X-hat) and Y^ (Y-hat)
% read in data
data =
xm
ут
csvread('measurements.csv');
data(:,1); % 50 measurements for x
data (:,2); % 50 measurements for y
M = [ones (size (xm)), xm, xm.^2]; %
b =
(MM) (-1) *M'*y; %
(1)
(2)
& display results.
figure (1), clf, hold on prepare figure
plot (xm, ym, ' . ');
응
(3)
linspace (min (xm), max (xm),200); % define values for x
& determine predicted model values
y =
plot (x, y,'-') &
(4)
(5)
Please answer the following multiple choice questions in part a.), b.) and c.):
(a) Which numerical method has been used in the above given example?
polynomial interpolation
numerical differentiation
least-squares regression
numerical integration
(b) Choose the correct code that needs to be put into the line denoted with the number (4):
(4) O
О
y
y
=
1+b(2) + b(3) ;
1 + x + x.^2 ;
y
=
b (1)
= b (1)
y
=
b (2) *x + b (3) *x. ^2 ;
+ b (2) *x ;
The total profit of a company since it started a business is given by P(t) = .01t^3 + 10t − 15 where t is the number of months since the company started a business. (a) Find the total profit 11 months after the company started a business (b) Find the marginal profit of the 11th month.
Chapter 4 Solutions
Understanding Basic Statistics
Ch. 4.1 - Note: Answers may vary due to rounding....Ch. 4.1 - Note: Answers may vary due to rounding....Ch. 4.1 - Note: Answers may vary due to rounding....Ch. 4.1 - Note: Answers may vary due to rounding....Ch. 4.1 - Critical Thinking: Linear Correlation Look at the...Ch. 4.1 - Critical Thinking: Linear Correlation Look at the...Ch. 4.1 - Critical Thinking: Lurking Variables Over the past...Ch. 4.1 - Critical Thinking: Lurking Variables Over the past...Ch. 4.1 - Critical Thinking: Lurking Variables Over the past...Ch. 4.1 - Critical Thinking: Lurking Variables Over the past...
Ch. 4.1 - Interpretation Trevor conducted a study and found...Ch. 4.1 - Interpretation Do people who spend more time on...Ch. 4.1 - Veterinary Science: Shetland Ponies How much...Ch. 4.1 - Health Insurance:Administrative Cost The following...Ch. 4.1 - Meteorology: Cyclones Can a low barometer reading...Ch. 4.1 - Geology: Earthquakes Is the magnitude of an...Ch. 4.1 - Baseball: Batting Averages and Home Runs In...Ch. 4.1 - University Crime: FBI Report Do larger...Ch. 4.1 - Prob. 19PCh. 4.1 - Prob. 20PCh. 4.1 - Expand Your Knowledge: Using a Table to Test The...Ch. 4.1 - Expand Your Knowledge: Sample Size and...Ch. 4.1 - Prob. 23PCh. 4.2 - Statistical Literacy In the least-squares line...Ch. 4.2 - Statistical Literacy In the least squares line...Ch. 4.2 - Critical Thinking When we use a least-squares line...Ch. 4.2 - Critical Thinking If two variables have a negative...Ch. 4.2 - Critical Thinking: Interpreting Computer Printouts...Ch. 4.2 - Critical Thinking: Interpreting Computer Printouts...Ch. 4.2 - Economics: Entry-Level Jobs An economist is...Ch. 4.2 - Ranching: Cattle You are the foreman of the Bar-S...Ch. 4.2 - Weight of Car: Miles per Gallon Do heavier cars...Ch. 4.2 - Basketball: Fouls Data for this problem are based...Ch. 4.2 - Auto Accidents: Age Data for this problem are...Ch. 4.2 - Auto Accidents: Age Let x be the age of a licensed...Ch. 4.2 - Incoine: Medicai Care Let x be per capita income...Ch. 4.2 - Violent Crimes: Prisons Does prison really deter...Ch. 4.2 - Education: Violent Crime The following data are...Ch. 4.2 - Research: Patents The following data are based on...Ch. 4.2 - Archaeology: Artifacts Data for this problem are...Ch. 4.2 - Cricket Chirps: Temperature Anyone who has been...Ch. 4.2 - Expand Your Knowledge: Residual Plot The...Ch. 4.2 - Residual Plot: Miles per Gallon Consider the data...Ch. 4.2 - Expand Your knowledge: Logarithmic...Ch. 4.2 - Expand Your Knowledge: Logarithmic...Ch. 4.2 - Prob. 24PCh. 4.2 - Expand Your Knowledge: Logarithmic...Ch. 4 - Terminology Consider the equation of a...Ch. 4 - Terminology Consider the values of the sample...Ch. 4 - Terminology Suppose we have a set of ordered pairs...Ch. 4 - Terminology Consider the following terms in a...Ch. 4 - Statistical Literacy Suppose the scatter diagram...Ch. 4 - Critical Thinking Suppose you and a friend each...Ch. 4 - Statistical Literacy When using the least-squares...Ch. 4 - StatisticalLiteracy Suppose that for x = 3. the...Ch. 4 - In Problems 9-14, (a) Draw a scatter diagram for...Ch. 4 - In Problems 9-14, (a) Draw a scatter diagram for...Ch. 4 - In Problems 9-14, (a) Draw a scatter diagram for...Ch. 4 - In Problems 9-14, (a) Draw a scatter diagram for...Ch. 4 - In Problems 9-14, (a) Draw a scatter diagram for...Ch. 4 - In Problems 9-14, (a) Draw a scatter diagram for...Ch. 4 - Prob. 1UTACh. 4 - Prob. 2UTACh. 4 - Prob. 3UTACh. 4 - Prob. 4UTACh. 4 - The data in this section are taken from this...Ch. 4 - The data in this section are taken from this...
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