Gr12 Mathematics: Ch 8.1 Curve Fitting

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What is the formula for the linear regression line?

y = A - Bx
y = Ax + B
y = (A + B)x
y = A + Bx (correct)

What does a strong negative correlation indicate?

A strong positive correlation
That as x increases, y decreases (correct)
A weak positive correlation
That x and y are not related

What is the range of values for the regression coefficient, r?

-1 to +1 (correct)
0 to +1
-2 to +2
-5 to +5

How do you enter the data into the calculator for linear regression?

In STAT mode (D) Signup and view all the answers

What is the interpretation of a zero correlation?

No relationship between x and y (B) Signup and view all the answers

What does the gradient, B, represent in the linear regression line?

The slope of the line (A) Signup and view all the answers

What is the purpose of calculating the regression line?

To determine the equation of the line of best fit (D) Signup and view all the answers

What is the term for the line of best fit for a set of bivariate numerical data?

Linear regression line (C) Signup and view all the answers

What is the purpose of calculating the regression coefficient, r?

To measure the strength of the correlation between two sets of data (C) Signup and view all the answers

What does a medium positive correlation between x and y indicate?

There is a moderate increase in y as x increases (A) Signup and view all the answers

What is the first step in using a calculator for linear regression?

Enter the mode (C) Signup and view all the answers

What does a strong positive correlation between x and y indicate?

As x increases, y increases, with a very strong relationship (A) Signup and view all the answers

What is the term for the point where the regression line crosses the y-axis?

y-intercept (D) Signup and view all the answers

What is the relationship between x and y in a weak negative correlation?

As x increases, y decreases, but the relationship is weak (D) Signup and view all the answers

What is the equation of the regression line used for?

To make predictions about the value of y given a value of x (D) Signup and view all the answers

What does a negative correlation between x and y indicate?

As x increases, y decreases (C) Signup and view all the answers

What is the primary use of the regression coefficient, r?

To measure the strength of the correlation between two sets of data (D) Signup and view all the answers

What type of correlation is indicated when r is equal to -0.6?

Medium negative correlation (C) Signup and view all the answers

What is the purpose of calculating the y-intercept, A, in linear regression?

To find the point where the regression line crosses the y-axis (D) Signup and view all the answers

What happens to the value of y when x increases in a positive correlation?

y increases (C) Signup and view all the answers

What is the relationship between x and y in a medium positive correlation?

As x increases, y increases (C) Signup and view all the answers

What is the primary purpose of finding the equation of the regression line?

To make predictions about future data (A) Signup and view all the answers

What type of correlation is indicated when r is equal to 0.2?

Weak positive correlation (B) Signup and view all the answers

What is the relationship between x and y in a strong negative correlation?