Homework Help is Here – Start Your Trial Now!
Math
Statistics
ccording to a survey, as reported by The Guardian in 2014, more students now work to fund their studies.  In order to see whether students' long working hours affect their studies, a social scientist estimate a linear regression to examine the relationship between the number of weekly hours worked (x) by the students and the marks obtained (y) by them in Statistics subject.  The excel output of the linear regression is reproduced below: The relationship between the variable x and y is Answer, The values of the intercept and slope coefficients are Answer, The least square line from the above output is Answer,

ccording to a survey, as reported by The Guardian in 2014, more students now work to fund their studies.  In order to see whether students' long working hours affect their studies, a social scientist estimate a linear regression to examine the relationship between the number of weekly hours worked (x) by the students and the marks obtained (y) by them in Statistics subject.  The excel output of the linear regression is reproduced below: The relationship between the variable x and y is Answer, The values of the intercept and slope coefficients are Answer, The least square line from the above output is Answer,

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.2: Box-and-whisker Plots
Problem 2E
See similar textbooks
icon
Related questions
Question

According to a survey, as reported by The Guardian in 2014, more students now work to fund their studies.  In order to see whether students' long working hours affect their studies, a social scientist estimate a linear regression to examine the relationship between the number of weekly hours worked (x) by the students and the marks obtained (y) by them in Statistics subject.  The excel output of the linear regression is reproduced below:

  1. The relationship between the variable x and y is Answer,
  2. The values of the intercept and slope coefficients are Answer,
  3. The least square line from the above output is Answer,
  4. The value of the coefficient of determination  is Answer,
  5. Select appropriate interpretation for slope coefficient: Answer, 
  6. Calculate the coefficient of correlation and type your answer in this box (round it up to 4 decimal places):  = Answer

In order to determine whether there is enough evidence to conclude that a linear relationship exists between the variable y and variable x we perform hypothesis testing at 5 percent significance level.  Answer the following questions:

  1. The null hypothesis is H0:β1 Answer,
  2. The alternative hypothesis is H1:β1 Answer,
  3. As per excel output, the value of t-statistic for this test is Answer,
  4. The decision rule is to reject H0 if Answer,
  5. Given the observed value of the test statistic, we decide to Answer.
SUMMARY OUTPUT Regression Statistics Multiple R 0.9290 RSquare Adjusted RSquare 0.8631 0.8494 Standard Error 7.2278 Observations 12 ANOVA df MS Significance F SS F Regression Residual 1.0000 3,292.2546 3,292.2546 63.0203 0.0000 10.0000 522.4121 52.2412 Total 11.0000 3,814.6667 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 92.7904 4.0034 23.1778 0.0000 83.8702 101.7105 Hours Worked -1.4029 0.1767 -7.9385 0.0000 -1.7967 -1.0092
Transcribed Image Text:SUMMARY OUTPUT Regression Statistics Multiple R 0.9290 RSquare Adjusted RSquare 0.8631 0.8494 Standard Error 7.2278 Observations 12 ANOVA df MS Significance F SS F Regression Residual 1.0000 3,292.2546 3,292.2546 63.0203 0.0000 10.0000 522.4121 52.2412 Total 11.0000 3,814.6667 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Intercept 92.7904 4.0034 23.1778 0.0000 83.8702 101.7105 Hours Worked -1.4029 0.1767 -7.9385 0.0000 -1.7967 -1.0092
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS