1. A high school teacher is interested in the extent to which truancy (or school absenteeism) is related to and predicts misbehavior. For a sample of 8 students, she compares the number of absences during the semester and the number of times the students received a disciplinary slip for misbehaving in class. Here are the data:
Absences
Disciplinary slips
0
4
1
4
0
2
5
7
3
3
4
11
1
0
2
5
a. Measure and test the strength of the relationship between absenteeism and incidents of misbehavior.
b. Derive and interpret an equation that predicts the number of disciplinary slips based on absences.
c. To what extent does the number of absences account for differences in the number of disciplinary slips?
2. A research center wants to determine whether a state’s unemployment rate can be used to predict the number of human trafficking cases in the same state. Ten states with similar human trafficking laws were selected, and the results are reported below:
State
Percent unemployment
Human Trafficking Cases
A
2.5
14
B
6.9
25
C
2.1
5
D
6.5
21
E
3.6
18
F
4.4
8
G
5.9
18
H
7.6
5
I
1.5
6
K
4.0
10
a. What are the median, and mean values for gun trafficking cases?
b. What is the association between unemployment and human trafficking cases in these 10 states? Is the association significant?
c. Calculate the regression coefficient using unemployment as the independent variable.
d. If a state reported 2.7% unemployment in 2014, what would you predict the number of human trafficking cases to be?
3. A psychiatrist wondered how much a night’s sleep could affect a person’s alertness and reaction time. She collected a random sample of people and asked them (X ) how many hours of sleep they got the night before and then used a simple test to determine (Y ) their reaction time in seconds. The following results were obtained:
Hours of sleep
Reaction time
5.0
13
10.5
8
4.0
15
6.0
12
7.5
11
6.5
13
2.5
21
6.0
10
4.5
17
8.0
11
a. Draw a scatter plot of the data.
b. Calculate the regression slope and Y-intercept.
c. Draw the regression line on the scatter plot.
d. Predict the number of seconds it would take for someone who got 8.5 hours of sleep to react.
e. Find the coefficients of determination and nondetermination. What do they mean?
f. Construct an analysis of variance table and perform an F test on the significance of the regression.
An incredibly appealing yet air-headed lady named Hedy LaRue, Mr. Biggley’s mystery special lady, is procured as a secretary. Her passageway draws in the consideration of the considerable number of men in the workplace, provoking Bratt to clarify the workplace approach on being a tease (“A Secretary isn’t a Toy”). Finch gains from Mr. Biggley’s secretary, Miss Jones, that Biggley is a glad alumni of Old Ivy school. In the lift by the day’s end, Rosemary’s kindred secretary Smitty encourages her and Finch set up a date (“Been A Long Day”). After they leave, Frump runs into Biggley and Hedy and understands the idea of their relationship. He coerces Biggley into giving him an advancement, by taking steps to tell his mom (“Been A Long Day (Reprise)”).
Finch shows up sooner than expected Saturday morning and sets up the workplace so it would appear that he has been working throughout the night, realizing that Biggley is coming in to the workplace soon. Finch persuades Biggley that he is additionally a pleased former student of Old Ivy and they sing the Old Ivy battle tune (“Grand Old Ivy”). Biggley requests that Finch be given his own office and secretary, and Bratt relegates Hedy to him. With the book’s assistance, Finch understands that Biggley must be Hedy’s supporter and sends her on a task to Gatch, very much aware that Gatch will make a go at her. Gatch succumbs to the snare and is sent to Venezuela, and Finch is elevated to his situation as head of Plans and Systems.
At a gathering for the new Advertising Department head, Benjamin Burton Daniel Ovington, Rosemary would like to intrigue Finch with her new dress, a Paris unique. Be that as it may, the various ladies show up at the gathering wearing a similar dress (“Paris Original”). Hedy, who has had an excessive amount to drink, goes up to Biggley’s office to shower.
Slob plans for Biggley to find Finch kissing Hedy in his office, however after LaRue extorts Finch into kissing her, he understands he’s quite love with Rosemary and proposes to her (“Rosemary”). As Rosemary is going to acknowledge, Hedy leaves the washroom in a towel which enrages Rosemary. She leaves, however comes back to reveal to Finch that Bud and Biggley are simply outside. Slob and Biggley stroll into the workplace similarly as Finch grasps Rosemary. Ovington is compelled to leave after Finch prompts him to uncover to Biggley that he is an alum from Northern State, Old Ivy’s harsh adversary. Biggley names Finch Vice-President in Charge of Advertising. Biggley leaves as Finch and Rosemary proclaim their affection for one another, and Bud Frump pledges retribution to stop Finch’s transient ascent (“Act I Finale”).
After two days, Rosemary feels disregarded by Finch and chooses to stop. Smitty and her kindred secretaries persuade her to remain in light of the fact that she’s experiencing their fantasy about wedding an official (“Cinderella, Darling”).