STATS:DATA+MODELS(LL)-W/ACCESS>CUSTOM<
STATS:DATA+MODELS(LL)-W/ACCESS>CUSTOM<
21st Edition
ISBN: 9780137643219
Author: DeVeaux
Publisher: PEARSON
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Question
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Chapter 7, Problem 1E

a.

To determine

Find whether the given statement is true or false.

a.

Expert Solution
Check Mark

Answer to Problem 1E

The given statement is false.

Explanation of Solution

Given info:

The linear model, which passes through the most data points on the scatterplot, is chosen.

Justification:

If the line passes through the most data points on the then that line won’t be straight line. To be straight, the line needs to touch some of the points or none of the points, but it minimizes the sum of least squares.

Thus, the given statement is false.

Statistics Concept Introduction

The conditions for a scatterplot that is well fitted for the data are,

  • Straight line Condition: The relationship between y and x should be straight enough to proceed with a linear regression model.
  • Outlier Condition: No outlier must be there which influences the fit of the least square line.
  • Thickness Condition: The spread of the data around the generally straight relationship seem to be consistent for all values of predictor variable.

b.

To determine

Find whether the given statement is true or false.

b.

Expert Solution
Check Mark

Answer to Problem 1E

The given statement is true.

Explanation of Solution

Given info:

The residuals are the observed y-values minus the predicted y-values by the linear model.

Justification:

The residual gives the difference between the observed value of the response variable and that of the predicted value.

Thus, the given statement is true.

Statistics Concept Introduction

Residual:

The residual is defined as Residual = Observed value  Predicted value or e=yy^ where y^ be the predicted value of the response variable and y be the actual value of the response variable.

c.

To determine

Find whether the given statement is true or false.

c.

Expert Solution
Check Mark

Answer to Problem 1E

The given statement is false.

Explanation of Solution

Given info:

Least square defines the square of the largest residual is as small as it could possibly be.

Justification:

A least square criterion defines the unique line that minimizes the variance of residuals or sum of squared of the residuals. It does not imply to minimize the largest residual is as small as it could possibly be.

Thus, the given statement is false.

Statistics Concept Introduction

Least-square criterion:

The least-square criterion is of a regression line that the best fits of a set of data points having the smallest possible sum of squares.

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Chapter 7 Solutions

STATS:DATA+MODELS(LL)-W/ACCESS>CUSTOM<

Ch. 7 - 2. True or false II If false, explain...Ch. 7 - 3. Least squares interpretations A least squares...Ch. 7 - 4. Residual interpretations The newborn grandson...Ch. 7 - Prob. 5ECh. 7 - 6. Disk drives 2016 again Recall the data on disk...Ch. 7 - Prob. 7ECh. 7 - 8. Sophomore slump again? An online investment...Ch. 7 - Prob. 9ECh. 7 - 10. Disk drives 2016, residuals Here are the...Ch. 7 - 11. Bookstore sales last time For the regression...Ch. 7 - Prob. 12ECh. 7 - Prob. 13ECh. 7 - Prob. 14ECh. 7 - Prob. 15ECh. 7 - Prob. 16ECh. 7 - Prob. 17ECh. 7 - Prob. 18ECh. 7 - Prob. 19ECh. 7 - Prob. 20ECh. 7 - Prob. 21ECh. 7 - 22. Another car The correlation between a car’s...Ch. 7 - Prob. 23ECh. 7 - 24. Last tank! For Exercise 16’s regression model...Ch. 7 - 25. Regression equations Fill in the missing...Ch. 7 - Prob. 26ECh. 7 - Prob. 27ECh. 7 - 28. Residuals Tell what each of the residual plots...Ch. 7 - Prob. 29ECh. 7 - 30. Coasters 2015, revisited The data set on...Ch. 7 - Prob. 31ECh. 7 - Prob. 32ECh. 7 - Prob. 33ECh. 7 - Prob. 34ECh. 7 - Prob. 35ECh. 7 - 36. More misinterpretations A Sociology student...Ch. 7 - 37. Real estate redux The regression of Price on...Ch. 7 - Prob. 38ECh. 7 - Prob. 39ECh. 7 - Prob. 40ECh. 7 - 41. More real estate Consider the Albuquerque home...Ch. 7 - Prob. 42ECh. 7 - Prob. 43ECh. 7 - Prob. 44ECh. 7 - Prob. 45ECh. 7 - 46. Attendance 2016, revisited Consider again the...Ch. 7 - Prob. 47ECh. 7 - Prob. 48ECh. 7 - Prob. 49ECh. 7 - 50. Interest rates and mortgages 2015 again In...Ch. 7 - 51. Online clothes An online clothing retailer...Ch. 7 - Prob. 52ECh. 7 - Prob. 53ECh. 7 - Prob. 54ECh. 7 - Prob. 55ECh. 7 - Prob. 56ECh. 7 - Prob. 57ECh. 7 - Prob. 58ECh. 7 - 59. Used cars 2014 Carmax.com lists numerous...Ch. 7 - Prob. 60ECh. 7 - Prob. 61ECh. 7 - Prob. 62ECh. 7 - Prob. 63ECh. 7 - Prob. 64ECh. 7 - Prob. 65ECh. 7 - 66. Cost of living 2016 Numbeo.com lists the cost...Ch. 7 - Prob. 67ECh. 7 - Prob. 68ECh. 7 - Prob. 69ECh. 7 - Prob. 70ECh. 7 - Prob. 71ECh. 7 - Prob. 72ECh. 7 - 73. Women’s heptathlon revisited We discussed the...Ch. 7 - Prob. 74ECh. 7 - Prob. 75ECh. 7 - 76. Gators Wildlife researchers monitor many...Ch. 7 - Prob. 77ECh. 7 - Prob. 78E
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