2477 Linear Regression Gradient & Y-intercept Formulae

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| By Anthony Nunan

Anthony Nunan

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Quizzes Created: 132 | Total Attempts: 47,205

| Attempts: 75

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1/24 Questions

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?

About This Quiz

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

2477 Linear Regression Gradient & Y-intercept Formulae - Quiz

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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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.

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20.

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Mar 17, 2023

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Feb 09, 2016

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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?

Quiz Preview

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?

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