20. A curious student wanted to determine if there was a difference in the average price of a quarter pound hamburger in the Uni

Answer:

(a) The athlete who finished first in the race had the quickest running time of 9.6 seconds

(b) There is a direct proportional relationship between reaction time and running time on average

(c) Long-term assumptions associated with least-squares regression

Limited efficacy in terms of sensitivity to outliers

Challenges in terms of extrapolating data characterizations

Explanation:

It is stated that

Total race time = Reaction time + Running Time

The winner is the athlete with the minimum total race time, which equates to the runner who has the lowest (Reaction time + Running Time)

Analyzing the scatter plot indicates that the winner corresponds to the lowest sum of x + y coordinates, placing the winner near the origin.

The three closest to the origin yielded the following x + y values:

0.135 + 9.7 = 9.835

0.145 + 9.7 = 9.845

0.153 + 9.6 = 9.753

Consequently, the athlete with the winning time was the one who achieved a running time of 9.6 seconds

(b) No, as a slight estimate indicates that an increase in running time correlates with an increase in reaction time

(c) Given a reaction time of 0.3 seconds is an outlier, employing a least-squares regression model may not be suitable due to the issues of extended range, limited sensitivity to outliers, and challenges in extrapolation characterization.

Response:

(0.2849, 0.3951)

Justification:

In the excerpt from ‘Sredni Vashtar’ by Saki (Hector Hugh Munro, 1870 - 1916), it is indicated that the protagonist, Conradin, perceives the world as divided into two sections. His cousin, Mrs. De Ropp, whom he harbors a strong dislike for, is part of the larger segment of reality (making up three-fifth). This portion is deemed necessary, as it ensures the practical aspects surrounding Conradin work correctly (such as acquiring food and clean clothes). However, it is also labeled as disagreeable due to its imposition of rules and control over Conradin, similar to how Mrs. De Ropp behaves. Furthermore, this segment is described as real because it is tangible, contrasting with the imaginary realm Conradin relates to.