Regression Line and Correlation - Statistical Methods - Quiz 5 | STA 2023, Quizzes of Data Analysis & Statistical Methods

Material Type: Quiz; Professor: Murphy; Class: Statistical Methods; Subject: STA: Statistics; University: Valencia Community College; Term: Unknown 1989;

Typology: Quizzes

Pre 2010

Uploaded on 08/04/2009

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Quiz #5 STA2023
Regression Line and Correlation
Name________________________
Times/Days attend class________________________
Date________________________
Provide all of your answers/explanations/work in the spaces provided. However,
you may attach additional work if you want to. Don’t put down just answers, i.e.
Show all work for full credit! There are two printed pages to this quiz.
Busch Gardens Africa, an amusement park
located in Tampa, FL, had 7 operating
roller coasters as of July 13, 2006. The
following is the list of these roller coasters
with corresponding information.
Information taken from Roller Coaster
Database: http://www.rcdb.com/pd15.htm
Roller Coaster Length in feet Height in feet Speed in mph Duration in
seconds Coaster Type
Cheetah Chase 1214 46 28 110 Sit-Down
Gwazi 3400 90 50 150 Sit-Down
Kumba 3978 143 60 174 Sit-Down
Montu 3983 150 60 180 Inverted
Python 1250 70 50 70 Sit-Down
Scorpion 1805 65 50 135 Sit-Down
SheiKra 3188 200 70 180 Sit-Down
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Quiz #5 STA

Regression Line and Correlation

Name________________________ Times/Days attend class________________________ Date________________________

Provide all of your answers/explanations/work in the spaces provided. However,

you may attach additional work if you want to. Don’t put down just answers, i.e.

Show all work for full credit! There are two printed pages to this quiz.

Busch Gardens Africa, an amusement park

located in Tampa, FL, had 7 operating

roller coasters as of July 13, 2006. The

following is the list of these roller coasters

with corresponding information.

Information taken from Roller Coaster

Database: http://www.rcdb.com/pd15.htm

Roller Coaster Length in feet Height in feet Speed in mph

Duration in seconds Coaster Type

Cheetah Chase 1214 46 28 110 Sit-Down

Gwazi 3400 90 50 150 Sit-Down

Kumba 3978 143 60 174 Sit-Down

Montu 3983 150 60 180 Inverted

Python 1250 70 50 70 Sit-Down

Scorpion 1805 65 50 135 Sit-Down

SheiKra 3188 200 70 180 Sit-Down

1. Make a scatterplot of Length versus Duration (you do not have to turn the

scatterplot in) and describe its form.

a. (5 pts.) Write down the equation for the line of regression.

b. (4 pts.) Suppose that you ride a new roller coaster on its opening day at

Busch Gardens Africa and timed the ride to be exactly 2 minutes long.

Predict the length of this new roller coaster (round your answer to the

nearest foot).

c. (3 pts.) State the value of the correlation and describe specifically how

this value is used to help you determine the strength or weakness of the

linear scatterplot.

2. Make a scatterplot with Height as the explanatory variable and Speed as the

response variable (you do not have to turn the scatterplot in).

a. (5 pts.) State and interpret the association for this scatterplot.

b. (5 pts.) How much on average does Speed increase when the Height

increases by 5 feet?

c. (3 pts.) What percent of the variation in Speed of the roller coasters at

Busch Gardens Africa can be explained by their Height? Show what made

you decide.