The following table presents the ages of 8 U.S. presidents and their wives on the first day of their presidencies. Name Her Age His Age Barack and Michelle Obama 45 47 George W. and Laura Bush 54 54 George and Barbara Bush 45 46 Jimmy and Rosalynn Carter 59 69 Richard and Pat Nixon 56 61 Lyndon and Lady Bird Johnson 50 55 John and Jacqueline Kennedy 31 43 Dwight and Mamie Eisenhower 56 62 (a) Compute the least-squares regression line for predicting the president's age from the first lady's age. Round the slope and y -intercept values to at least four decimal places. Regression line equation: =y
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
The following table presents the ages of
U.S. presidents and their wives on the first day of their presidencies.
| Name | Her Age | His Age |
|---|---|---|
| Barack and Michelle Obama |
45
|
47
|
| George W. and Laura Bush |
54
|
54
|
| George and Barbara Bush |
45
|
46
|
| Jimmy and Rosalynn Carter |
59
|
69
|
| Richard and Pat Nixon |
56
|
61
|
| Lyndon and Lady Bird Johnson |
50
|
55
|
| John and Jacqueline Kennedy |
31
|
43
|
| Dwight and Mamie Eisenhower |
56
|
62
|
(a) Compute the least-squares regression line for predicting the president's age from the first lady's age. Round the slope and
-intercept values to at least four decimal places.
|
Regression line equation:
=y
|
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