Regression formulas

Question 1

What is the general form of a quadratic regression equation?

Answer 1

y = ax^2 + bx + c

Question 2

True or False: Quadratic regression is used to model relationships that are linear.

Answer 2

False

Question 3

Fill in the blank: In the quadratic regression formula, ‘a’ determines the ______ of the parabola.

Answer 3

direction and width

Question 4

Which of the following is NOT a component of the quadratic regression formula? a) a b) b c) d) c

Answer 4

d

Question 5

What does the term ‘quadratic’ refer to in quadratic regression?

Answer 5

It refers to the degree of the polynomial, which is 2.

Question 7

What is the formula for a simple linear regression?

Answer 7

y = mx + b

Question 8

True or False: In the linear regression formula, ‘m’ represents the slope of the line.

Answer 8

True

Question 9

Fill in the blank: In the linear regression equation, ‘b’ represents the ______.

Answer 9

y-intercept

Question 10

What does ‘y’ represent in the linear regression formula?

Answer 10

‘y’ represents the dependent variable or the outcome we are trying to predict.

Question 11

In the context of linear regression, what does ‘x’ represent?

Answer 11

‘x’ represents the independent variable or the predictor.

Question 13

What is the general form of the exponential regression formula?

Answer 13

y = ab^x

Question 14

True or False: In the exponential regression formula, ‘a’ represents the initial value when x equals 0.

Answer 14

True

Question 15

Fill in the blank: In the equation y = ab^x, ‘b’ is the _____ factor.

Answer 15

growth or decay

Question 16

What type of data is best suited for exponential regression?

Answer 16

Data that grows or decays at a constant percentage rate.

Question 17

Multiple Choice: Which of the following is NOT a characteristic of exponential growth?

Answer 17

It increases linearly over time.

Question 19

Is arranging the letters in the word ‘CAT’ a permutation or a combination?

Answer 19

Permutation

Question 20

True or False: Choosing 3 fruits from a basket of 10 different fruits is a combination.

Answer 20

True

Question 21

Fill in the blank: The formula for permutations is nPr = _____.

Answer 21

n! / (n - r)!

Question 22

Which of the following is a permutation: A) Selecting a team of 5 players from 20, B) Arranging 5 books on a shelf?

Answer 22

B) Arranging 5 books on a shelf

Question 23

What type of selection is it if the order of selection does not matter?

Answer 23

Combination