2477 Linear Regression Gradient & Y-intercept Formulae

Approved & Edited by ProProfs Editorial Team

The editorial team at ProProfs Quizzes consists of a select group of subject experts, trivia writers, and quiz masters who have authored over 10,000 quizzes taken by more than 100 million users. This team includes our in-house seasoned quiz moderators and subject matter experts. Our editorial experts, spread across the world, are rigorously trained using our comprehensive guidelines to ensure that you receive the highest quality quizzes.

Learn about Our Editorial Process

| By Anthony Nunan

Anthony Nunan

Community Contributor

Quizzes Created: 132 | Total Attempts: 44,352

Questions: 24 | Attempts: 74 | Updated: Mar 17, 2023

Questions

Settings

Feedback

During the Quiz End of Quiz

Play as

Quiz Flashcard

Create your own Quiz

2477 Linear Regression Gradient & Y-intercept Formulae - Quiz

. The three formulae used in this quiz are : General, y-intercept (a) and gradient (b)

Questions and Answers

1.

We are trying to find the gradient of the least squares regression line.The Correlation Coefficient is 0.8.The mean of the x values is 12 and the mean of the y values is 30The standard deviation of the x values is 4 and the standard deviation of the y values is 8.What is the gradient?

Explanation
The App - rxsys2equ - the gradient only requires the correlation coefficient (r) and the SD for x and y.

Rate this question:

4
2.

We are trying to find the gradient of the least squares regression line.The Correlation Coefficient is 0.7.The mean of the x values is 15 and the mean of the y values is 30The standard deviation of the x values is 6 and the standard deviation of the y values is 18.What is the gradient?

Explanation
The App - rxsys2equ - the gradient only requires the correlation coefficient (r) and the SD for x and y.

Rate this question:

4
3.

We are trying to find the gradient of the least squares regression line.The Correlation Coefficient is 0.9.The mean of the x values is 18 and the mean of the y values is 34The standard deviation of the x values is 2 and the standard deviation of the y values is 6.What is the gradient?

Explanation
The App - rxsys2equ - the gradient only requires the correlation coefficient (r) and the SD for x and y.

Rate this question:

4
4.

We are trying to find the gradient of the least squares regression line.The Correlation Coefficient is -0.9.The mean of the x values is 18 and the mean of the y values is 34The standard deviation of the x values is 4 and the standard deviation of the y values is 8.What is the gradient?

Explanation
The App - rxsys2equ - the gradient only requires the correlation coefficient (r) and the SD for x and y.

Rate this question:

4
5.

We are trying to find the gradient of the least squares regression line.The Correlation Coefficient is 0.9.The mean of the x values is 6 and the mean of the y values is 29The standard deviation of the x values is 2 and the standard deviation of the y values is 8.What is the gradient?

Explanation
The App - rxsys2equ - the gradient only requires the correlation coefficient (r) and the SD for x and y.

Rate this question:

4
6.

We are trying to find the gradient of the least squares regression line.The Correlation Coefficient is -0.9.The mean of the x values is 6 and the mean of the y values is 27The standard deviation of the x values is 4 and the standard deviation of the y values is 2.What is the gradient?

Explanation
The App - rxsys2equ - the gradient only requires the correlation coefficient (r) and the SD for x and y.

Rate this question:

4
7.

We are trying to find the gradient of the least squares regression line.The Correlation Coefficient is -0.8.The mean of the x values is 6 and the mean of the y values is 27The standard deviation of the x values is 9 and the standard deviation of the y values is 4.5.What is the gradient?

Explanation
The App - rxsys2equ - the gradient only requires the correlation coefficient (r) and the SD for x and y.

Rate this question:

4
8.

We are trying to find the y-intercept for the linear regression line.The gradient is given as 2.The mean of the x values is 4 and the mean of the y values is 8The standard deviation of the x values is 9 and the standard deviation of the y values is 4.5.What is the y intercept?

Explanation
The App - rxsys2equ - the y intercept only requires the gradient (b) and the mean of the x and y values.

Rate this question:

4
9.

We are trying to find the gradient of the least squares regression line.The Correlation Coefficient is -0.6.The mean of the x values is 9 and the mean of the y values is 22The standard deviation of the x values is 7 and the standard deviation of the y values is 3.5.What is the gradient?

Explanation
The App - rxsys2equ - the gradient only requires the correlation coefficient (r) and the SD for x and y.

Rate this question:

4
10.

We are trying to find the y-intercept for the linear regression line.The gradient is given as -2.The mean of the x values is -4 and the mean of the y values is 8The standard deviation of the x values is 7 and the standard deviation of the y values is 12.What is the y intercept?

Explanation
The App - rxsys2equ - the y intercept only requires the gradient (b) and the mean of the x and y values.

Rate this question:

4
11.

We are trying to find the y-intercept for the linear regression line.The gradient is given as 0.5.The mean of the x values is 6 and the mean of the y values is 2The standard deviation of the x values is 9 and the standard deviation of the y values is 4.5.What is the y intercept?

Explanation
The App - rxsys2equ - the y intercept only requires the gradient (b) and the mean of the x and y values.

Rate this question:

4
12.

We are trying to find the y-intercept for the linear regression line.The gradient is given as 2.The mean of the x values is 4 and the mean of the y values is 2The standard deviation of the x values is 9 and the standard deviation of the y values is 4.5.What is the y intercept?

Explanation
The App - rxsys2equ - the y intercept only requires the gradient (b) and the mean of the x and y values.

Rate this question:

4
13.

We are trying to find the y-intercept for the linear regression line.The gradient is given as -0.5.The mean of the x values is 10 and the mean of the y values is 2The standard deviation of the x values is 9 and the standard deviation of the y values is 4.5.What is the y intercept?

Explanation
The App - rxsys2equ - the y intercept only requires the gradient (b) and the mean of the x and y values.

Rate this question:

4
14.

We are trying to find the y-intercept for the linear regression line.The gradient is given as 0.5.The mean of the x values is 10 and the mean of the y values is 8The standard deviation of the x values is 9 and the standard deviation of the y values is 4.5.What is the y intercept?

Explanation
The App - rxsys2equ - the y intercept only requires the gradient (b) and the mean of the x and y values.

Rate this question:

4
15.

We are trying to find the y-intercept for the linear regression line.The gradient is given as 1.The mean of the x values is 6 and the mean of the y values is 8The standard deviation of the x values is 5 and the standard deviation of the y values is 3.What is the y intercept?

Explanation
The App - rxsys2equ - the y intercept only requires the gradient (b) and the mean of the x and y values.

Rate this question:

4
16.

We are trying to find the y-intercept for the linear regression line.The gradient is given as 0.5.The mean of the x values is 8 and the mean of the y values is 8The standard deviation of the x values is 9 and the standard deviation of the y values is 4.5.What is the y intercept?

Explanation
The App - rxsys2equ - the y intercept only requires the gradient (b) and the mean of the x and y values.

Rate this question:

4
17.

We are trying to find the y-intercept for the linear regression line.The correlation coefficient is 0.9The mean of the x values is 4 and the mean of the y values is 8The standard deviation of the x values is 9 and the standard deviation of the y values is 4.5.What is the y intercept?

Explanation
The App - rxsys2equ - When you don't have the gradient (b) and you are looking for the y intercept, you should find both a & b.

Rate this question:

4
18.

We are trying to find the y-intercept for the linear regression line.The correlation coefficient is 0.8The mean of the x values is 6 and the mean of the y values is 8The standard deviation of the x values is 18 and the standard deviation of the y values is 4.What is the y intercept to one decimal place?

Explanation
The App - rxsys2equ - When you don't have the gradient (b) and you are looking for the y intercept, you should find both a & b.

Rate this question:

4
19.

We are trying to find the y-intercept for the linear regression line.The correlation coefficient is 0.8The mean of the x values is 5 and the mean of the y values is 8The standard deviation of the x values is 10 and the standard deviation of the y values is 15.What is the y intercept to one decimal place?

Explanation
The App - rxsys2equ - When you don't have the gradient (b) and you are looking for the y intercept, you should find both a & b.

Rate this question:

4
20.

Type question here. Example: Practice makes you ________

Quiz Review Timeline +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

Current Version
Mar 17, 2023

Quiz Edited by
ProProfs Editorial Team
Feb 09, 2016

Quiz Created by
Anthony Nunan

Featured Quizzes

What Type of Guy Suits Your Personality? Quiz What Type of Guy Suits Your Personality? Quiz

Subject Verb Agreement Quiz Subject Verb Agreement Quiz

What Should I Be When I Grow Up? Quiz What Should I Be When I Grow Up? Quiz

What Ethnicity Do I Look Like? Quiz What Ethnicity Do I Look Like? Quiz

Best Friend Quiz: Are You Really Best Friends? Best Friend Quiz: Are You Really Best Friends?

Which Anime Character Are You Most Like? Which Anime Character Are You Most Like?

Back to top

2477 Linear Regression Gradient & Y-intercept Formulae

We are trying to find the gradient of the least squares regression line.The Correlation Coefficient is 0.8.The mean of the x values is 12 and the mean of the y values is 30The standard deviation of the x values is 4 and the standard deviation of the y values is 8.What is the gradient?

We are trying to find the gradient of the least squares regression line.The Correlation Coefficient is 0.7.The mean of the x values is 15 and the mean of the y values is 30The standard deviation of the x values is 6 and the standard deviation of the y values is 18.What is the gradient?

We are trying to find the gradient of the least squares regression line.The Correlation Coefficient is 0.9.The mean of the x values is 18 and the mean of the y values is 34The standard deviation of the x values is 2 and the standard deviation of the y values is 6.What is the gradient?

We are trying to find the gradient of the least squares regression line.The Correlation Coefficient is -0.9.The mean of the x values is 18 and the mean of the y values is 34The standard deviation of the x values is 4 and the standard deviation of the y values is 8.What is the gradient?

We are trying to find the gradient of the least squares regression line.The Correlation Coefficient is 0.9.The mean of the x values is 6 and the mean of the y values is 29The standard deviation of the x values is 2 and the standard deviation of the y values is 8.What is the gradient?

We are trying to find the gradient of the least squares regression line.The Correlation Coefficient is -0.9.The mean of the x values is 6 and the mean of the y values is 27The standard deviation of the x values is 4 and the standard deviation of the y values is 2.What is the gradient?

We are trying to find the gradient of the least squares regression line.The Correlation Coefficient is -0.8.The mean of the x values is 6 and the mean of the y values is 27The standard deviation of the x values is 9 and the standard deviation of the y values is 4.5.What is the gradient?

We are trying to find the y-intercept for the linear regression line.The gradient is given as 2.The mean of the x values is 4 and the mean of the y values is 8The standard deviation of the x values is 9 and the standard deviation of the y values is 4.5.What is the y intercept?

We are trying to find the gradient of the least squares regression line.The Correlation Coefficient is -0.6.The mean of the x values is 9 and the mean of the y values is 22The standard deviation of the x values is 7 and the standard deviation of the y values is 3.5.What is the gradient?

We are trying to find the y-intercept for the linear regression line.The gradient is given as -2.The mean of the x values is -4 and the mean of the y values is 8The standard deviation of the x values is 7 and the standard deviation of the y values is 12.What is the y intercept?

We are trying to find the y-intercept for the linear regression line.The gradient is given as 0.5.The mean of the x values is 6 and the mean of the y values is 2The standard deviation of the x values is 9 and the standard deviation of the y values is 4.5.What is the y intercept?

We are trying to find the y-intercept for the linear regression line.The gradient is given as 2.The mean of the x values is 4 and the mean of the y values is 2The standard deviation of the x values is 9 and the standard deviation of the y values is 4.5.What is the y intercept?

We are trying to find the y-intercept for the linear regression line.The gradient is given as -0.5.The mean of the x values is 10 and the mean of the y values is 2The standard deviation of the x values is 9 and the standard deviation of the y values is 4.5.What is the y intercept?

We are trying to find the y-intercept for the linear regression line.The gradient is given as 0.5.The mean of the x values is 10 and the mean of the y values is 8The standard deviation of the x values is 9 and the standard deviation of the y values is 4.5.What is the y intercept?

We are trying to find the y-intercept for the linear regression line.The gradient is given as 1.The mean of the x values is 6 and the mean of the y values is 8The standard deviation of the x values is 5 and the standard deviation of the y values is 3.What is the y intercept?

We are trying to find the y-intercept for the linear regression line.The gradient is given as 0.5.The mean of the x values is 8 and the mean of the y values is 8The standard deviation of the x values is 9 and the standard deviation of the y values is 4.5.What is the y intercept?

We are trying to find the y-intercept for the linear regression line.The correlation coefficient is 0.9The mean of the x values is 4 and the mean of the y values is 8The standard deviation of the x values is 9 and the standard deviation of the y values is 4.5.What is the y intercept?

Type question here. Example: Practice makes you ________