Homework Help is Here – Start Your Trial Now!
Math
Statistics
Question 3 Stu is undertaking a PhD that involves studying the geometric abilities and tendencies of people in the general population. In order to strengthen his PhD research, Stu's supervisor told him that he needed to collect and analyse some real data. Stu therefore selected a random sample of 26 people and asked each person to draw a rectangle on an A4 piece of paper. For each person, Stu recorded the width (X) and the length (Y) of the rectangle, both measured in centimetres. For each person, he also calculated and recorded the quantity A = X x Y. Some sample statistics for the variables X, Y and A are displayed in the table below. Variable X Y A A. Sum of Sample Values Sum of Squared Sample Values Σ, X = 296.4 26 26 X²=3453.3 C. 26 Σ ²₁Y₁ = 293.8 =1 26 Ai = 3408.6 26 Test whether the population mean area of rectangles drawn on an A4 piece of paper is greater than 120.5 centimetres². Clearly state your hypotheses and use a significance level of a = 10%. B. Y² = 3500.92 26 Σ?, A = 493799.815 Test whether the population correlation coefficient between the width and the length of rectangles drawn on an A4 piece of paper is greater than 0. Clearly state your hypotheses and use a significance level of a = 1%. Using the sample data he collected, Stu decides to fit a regression model that can be used to predict the length of a

Question 3 Stu is undertaking a PhD that involves studying the geometric abilities and tendencies of people in the general population. In order to strengthen his PhD research, Stu's supervisor told him that he needed to collect and analyse some real data. Stu therefore selected a random sample of 26 people and asked each person to draw a rectangle on an A4 piece of paper. For each person, Stu recorded the width (X) and the length (Y) of the rectangle, both measured in centimetres. For each person, he also calculated and recorded the quantity A = X x Y. Some sample statistics for the variables X, Y and A are displayed in the table below. Variable X Y A A. Sum of Sample Values Sum of Squared Sample Values Σ, X = 296.4 26 26 X²=3453.3 C. 26 Σ ²₁Y₁ = 293.8 =1 26 Ai = 3408.6 26 Test whether the population mean area of rectangles drawn on an A4 piece of paper is greater than 120.5 centimetres². Clearly state your hypotheses and use a significance level of a = 10%. B. Y² = 3500.92 26 Σ?, A = 493799.815 Test whether the population correlation coefficient between the width and the length of rectangles drawn on an A4 piece of paper is greater than 0. Clearly state your hypotheses and use a significance level of a = 1%. Using the sample data he collected, Stu decides to fit a regression model that can be used to predict the length of a

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
Question
Question 3 Stu is undertaking a PhD that involves studying the geometric abilities and tendencies of people in the general population. In order to strengthen his PhD research, Stu's supervisor told him that he needed to collect and analyse some real data. Stu therefore selected a random sample of 26 people and asked each person to draw a rectangle on an A4 piece of paper. For each person, Stu recorded the width (X) and the length (Y) of the rectangle, both measured in centimetres. For each person, he also calculated and recorded the quantity A = X x Y. Some sample statistics for the variables X, Y and A are displayed in the table below. Variable X A. Y A Sum of Sample Values Sum of Squared Sample Values Σ, X, = 296.4 26 Li± X? = 3453.3 26 ₁Y² = 3500.92 D. 26 ΣΥ = 293.8 Σ?%, A; = 3408.6 Σ?, A? = Test whether the population mean area of rectangles drawn on an A4 piece of paper is greater than 120.5 centimetres². Clearly state your hypotheses and use a significance level of a = 10%. B. = 493799.815 Test whether the population correlation coefficient between the width and the length of rectangles drawn on an A4 piece of paper is greater than 0. Clearly state your hypotheses and use a significance level of a = 1%. C. Using the sample data he collected, Stu decides to fit a regression model that can be used to predict the length of a rectangle drawn on an A4 piece of paper from the width of the rectangle. Calculate the estimates and 3₁. Using the model fitted in part C, calculate a 99% prediction interval for the length of a rectangle drawn by someone on an A4 piece of paper if the width of the rectangle was 11.7 centimetres.
Transcribed Image Text:Question 3 Stu is undertaking a PhD that involves studying the geometric abilities and tendencies of people in the general population. In order to strengthen his PhD research, Stu's supervisor told him that he needed to collect and analyse some real data. Stu therefore selected a random sample of 26 people and asked each person to draw a rectangle on an A4 piece of paper. For each person, Stu recorded the width (X) and the length (Y) of the rectangle, both measured in centimetres. For each person, he also calculated and recorded the quantity A = X x Y. Some sample statistics for the variables X, Y and A are displayed in the table below. Variable X A. Y A Sum of Sample Values Sum of Squared Sample Values Σ, X, = 296.4 26 Li± X? = 3453.3 26 ₁Y² = 3500.92 D. 26 ΣΥ = 293.8 Σ?%, A; = 3408.6 Σ?, A? = Test whether the population mean area of rectangles drawn on an A4 piece of paper is greater than 120.5 centimetres². Clearly state your hypotheses and use a significance level of a = 10%. B. = 493799.815 Test whether the population correlation coefficient between the width and the length of rectangles drawn on an A4 piece of paper is greater than 0. Clearly state your hypotheses and use a significance level of a = 1%. C. Using the sample data he collected, Stu decides to fit a regression model that can be used to predict the length of a rectangle drawn on an A4 piece of paper from the width of the rectangle. Calculate the estimates and 3₁. Using the model fitted in part C, calculate a 99% prediction interval for the length of a rectangle drawn by someone on an A4 piece of paper if the width of the rectangle was 11.7 centimetres.
Expert Solution
steps

Step by step

Solved in 5 steps with 15 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS