Recent Lessons

Show all results for ""

Feature Overview

Ace your exams with our all-in-one platform for creating and sharing quizzes and tests.

Quizzes

Create quizzes and tests automatically from your content using AI.

Flashcards

Automatically turn your notes into digital flashcards.

Share, Export & Embed

Share with classmates or export to Excel and your learning management system.

Stats & Reporting

Auto-grading quizzes and tests with detailed stats and reports.

Mobile Apps

The smarter way to study – wherever you are.

Pricing

Search...

Korrelationskoefficient och Regressionsanalys Formler

10 Questions

0 Views

Korrelationskoefficient och Regressionsanalys Formler

Choose a study mode

Play Quiz

Study Flashcards

Spaced Repetition

Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

Vad är formeln för korrelationskoefficienten 𝑟?

𝑟= (𝑛 − 1)𝑠𝑋 𝑠𝑌

𝑟= 𝒂 + 𝒃𝑌

𝑟= σ(𝑋 − 𝑋)(𝑌 − 𝑌) (correct)

𝑟= 𝒂 + 𝒃𝑿

Vad är standardavvikelsen för den oberoende variabeln 𝑋?

2.12 (correct)

2.236

0.89

Vilken ekvation representerar linjen för bäst passning enligt modellen som ges i texten?

𝑌=−0.94 + 0.56𝑋

𝑌=0.56 - 0.94𝑋

𝑌=−0.56 + 0.94𝑋 (correct)

𝑌=0.94 + 0.56𝑋

Vad blir korrelationskoefficientens värde när den beräknas enligt formeln i texten?

0.7921 Signup and view all the answers

Om 𝑋 = 7, vad blir då värdet på den beroende variabeln 𝑌 enligt modellen i texten?

-4.6 Signup and view all the answers

What does the value of the correlation coefficient, 𝑟, indicate?

The relationship strength and direction between the independent and dependent variables Signup and view all the answers

If 𝑋 = 0, what would be the value of the dependent variable 𝑌 based on the model provided in the text?

𝑎 Signup and view all the answers

What does it mean if the correlation coefficient 𝑟 is close to -1?

There is a perfect negative linear relationship Signup and view all the answers

What does the term 'sample standard deviation' represent in statistical analysis?

The spread of the data points around the mean Signup and view all the answers

In a linear regression model, what does the slope 𝑏 represent?

The change in the dependent variable for a unit change in the independent variable Signup and view all the answers