Presidents and first ladies: The following table presents the ages of the last 10 U.S. presidents and their wives on the first day of their presidencies. Name Her Age His Age Donald and Melania Trump 46 70 Barack and Michelle Obama 45 47 George W. and Laura Bush 54 54 Bill and Hillary Clinton George and Barbara Bush 45 46 55 64 Ronald and Nancy Reagan 59 69 Jimmy and Rosalynn Carter 49 52 Gerald and Betty Ford 56 61 Richard and Pat Nixon 56 56 Lyndon and Lady Bird Johnson 50 55 a. Compute the least-squares regression line for predicting the president's age from the first lady's age. b. Compute the coefficient of determination. c. Construct a scatterplot of the presidents' ages (y) versus the first ladies' ages (x). d. Which point is an outlier? e. Remove the outlier and compute the least-squares regression line for predicting the president's age from the first lady's age. f. Is the outlier influential? Explain. g. Compute the coefficient of determination for the data set with the outlier removed. Is the proportion of variation explained by the least-squares regression line greater, less, or about the same without the outlier? Explain.
Presidents and first ladies: The following table presents the ages of the last 10 U.S. presidents and their wives on the first day of their presidencies. Name Her Age His Age Donald and Melania Trump 46 70 Barack and Michelle Obama 45 47 George W. and Laura Bush 54 54 Bill and Hillary Clinton George and Barbara Bush 45 46 55 64 Ronald and Nancy Reagan 59 69 Jimmy and Rosalynn Carter 49 52 Gerald and Betty Ford 56 61 Richard and Pat Nixon 56 56 Lyndon and Lady Bird Johnson 50 55 a. Compute the least-squares regression line for predicting the president's age from the first lady's age. b. Compute the coefficient of determination. c. Construct a scatterplot of the presidents' ages (y) versus the first ladies' ages (x). d. Which point is an outlier? e. Remove the outlier and compute the least-squares regression line for predicting the president's age from the first lady's age. f. Is the outlier influential? Explain. g. Compute the coefficient of determination for the data set with the outlier removed. Is the proportion of variation explained by the least-squares regression line greater, less, or about the same without the outlier? Explain.
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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Transcribed Image Text:Presidents and first ladies: The following table presents the
ages of the last 10 U.S. presidents and their wives on the first
day of their presidencies.
Name
Her Age
His Age
Donald and Melania Trump
46
70
Barack and Michelle Obama
45
47
George W. and Laura Bush
54
54
Bill and Hillary Clinton
George and Barbara Bush
45
46
55
64
Ronald and Nancy Reagan
59
69
Jimmy and Rosalynn Carter
49
52
Gerald and Betty Ford
56
61
Richard and Pat Nixon
56
56
Lyndon and Lady Bird Johnson
50
55
a. Compute the least-squares regression line for predicting the
president's age from the first lady's age.
b. Compute the coefficient of determination.
c. Construct a scatterplot of the presidents' ages (y) versus the
first ladies' ages (x).
d. Which point is an outlier?
e. Remove the outlier and compute the least-squares regression
line for predicting the president's age from the first lady's
age.
f. Is the outlier influential? Explain.
g. Compute the coefficient of determination for the data set
with the outlier removed. Is the proportion of variation
explained by the least-squares regression line greater, less,
or about the same without the outlier?
Explain.
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