Mathematics

Grade10

Easy

Question

# The coefficient of determination is _________

- The square root of the correlation coefficient
- Usually less than zero
- The correlation coefficient squared
- Equal to zero

## The correct answer is: The correlation coefficient squared

### The coefficient of determination is The correlation coefficient squared.

### Related Questions to study

Mathematics

### In regression analysis, the variable that is being predicted is __________

### In regression analysis, the variable that is being predicted is __________

MathematicsGrade10

Mathematics

### Direction : Cars lose value the farther they are driven. A random sample of 11 cars for sale was taken. All 11 cars were the same make and model. A line was fit to the data to model the relationship between how far each car had been driven and its selling price.

Estimate the price of a car that had been driven 48 thousand kilometers $ _______ thousand dollars.

### Direction : Cars lose value the farther they are driven. A random sample of 11 cars for sale was taken. All 11 cars were the same make and model. A line was fit to the data to model the relationship between how far each car had been driven and its selling price.

Estimate the price of a car that had been driven 48 thousand kilometers $ _______ thousand dollars.

MathematicsGrade10

Mathematics

### The difference between the actual value and the predicted is called the __________

### The difference between the actual value and the predicted is called the __________

MathematicsGrade10

Mathematics

### Using the model 𝘺 = 𝟦𝟩.𝟪𝟩𝘹 + 𝟣𝟥𝟦𝟧.𝟢𝟦, where x is the number of years after 1975 and y is in thousands of miles, estimate the number of miles people flew on the airline in 2008.

### Using the model 𝘺 = 𝟦𝟩.𝟪𝟩𝘹 + 𝟣𝟥𝟦𝟧.𝟢𝟦, where x is the number of years after 1975 and y is in thousands of miles, estimate the number of miles people flew on the airline in 2008.

MathematicsGrade10

Mathematics

### What is extrapolation?

### What is extrapolation?

MathematicsGrade10

Mathematics

### What is interpolation?

### What is interpolation?

MathematicsGrade10

Mathematics

### What are the signs that a residual plot shows a line of best fit ?

i) The residual values are distributed in a clear pattern on both sides of the y-axis.

ii) The residual values are randomly distributed on either side of the x-axis.

iii) The residual values are randomly distributed on either side of the y-axis.

iv) The residual values are clustered close to the x-axis.

### What are the signs that a residual plot shows a line of best fit ?

i) The residual values are distributed in a clear pattern on both sides of the y-axis.

ii) The residual values are randomly distributed on either side of the x-axis.

iii) The residual values are randomly distributed on either side of the y-axis.

iv) The residual values are clustered close to the x-axis.

MathematicsGrade10

Mathematics

### What is a residual ?

i) The difference between the y-value of a data point and the corresponding y-value from the line of best fit.

ii) Actual y-value minus predicted y-value.

iii) All the remaining points that the line of best fit did NOT touch.

iv) The ratio of how many data points are on the line vice not on the line.

### What is a residual ?

i) The difference between the y-value of a data point and the corresponding y-value from the line of best fit.

ii) Actual y-value minus predicted y-value.

iii) All the remaining points that the line of best fit did NOT touch.

iv) The ratio of how many data points are on the line vice not on the line.

MathematicsGrade10

Mathematics

### What does a correlation coefficient of r = -0.8 reveal about the data it describes?

### What does a correlation coefficient of r = -0.8 reveal about the data it describes?

MathematicsGrade10

Mathematics

### What does a correlation coefficient of r = 0.3 reveal about the data it describes?

### What does a correlation coefficient of r = 0.3 reveal about the data it describes?

MathematicsGrade10

Mathematics

### What does it mean when the correlation coefficient is close (but not equal) to zero?

### What does it mean when the correlation coefficient is close (but not equal) to zero?

MathematicsGrade10

Mathematics

### What does it mean when the correlation coefficient is exactly equal to zero?

### What does it mean when the correlation coefficient is exactly equal to zero?

MathematicsGrade10

Mathematics

### What does it mean when the correlation coefficient is close to -1 ?

### What does it mean when the correlation coefficient is close to -1 ?

MathematicsGrade10

Mathematics

### What does it mean when the correlation coefficient is close to 1 ?

### What does it mean when the correlation coefficient is close to 1 ?

MathematicsGrade10

Mathematics

### What is a bivariate data set?

### What is a bivariate data set?

MathematicsGrade10