Question

QUESTION 1

What is the interpretation for the slope of the linear regression prediction equation?

		The value of Y when X = 0
		The value of X when Y = 0
		The change in Y with a unit change in X
		The change in X with a unit change in Y

QUESTION 2

Which of the following is the equation for all straight-line graphs?

		Y = a + b (x)
		e = Y – Ŷ
		Ʃ (ӯ – Ŷ)
		Ŷ = a (b)

QUESTION 3

In a linear equation, the value of Y when X is 0 is called the

		slope.
		Y-intercept.
		best fit.
		directional.

QUESTION 4

Which type of relationship occurs when all observations fall along a straight line?

		Deterministic linear relationship
		Scatterplot relationship
		Vertical relationship
		Linear relationship

  

QUESTION 5

A scatter diagram is a(n) __________ step in exploring a relationship between two variables.

		finite
		absolute
		preliminary
		definitive

  

QUESTION 6

A scatter diagram is a visual method used to display a relationship between two __________ variables.

		nominal
		unrelated
		interval-ratio
		ordinal

Answer 1

Q1) The equation of a line is given by y = a + bx, where b is the slope and a is called the y intercept. As x changes, y will also change, and hence the slope is defined as Option 3: The change in Y, witha unit change in X.

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Q2) The equation of a straight line is given by Option 1: y = a + b(x)

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Q3) In a straight line equation y = a + bx, we know that a = y intercept, the point at which the line cuts the y axis. When the line cuts a point on the y axis, the x co-ordinate = 0. Therefore value of Y when X is 0 is called Option 2: Y intercept

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Q4) When observations fall along a straight line, we would call it a linear relationship, but if all observations fall along the same straight line then it is called Option 1: A deterministic Linear Relationship.

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Q5) When we get data, we plot them (independent vs dependent) to see if they are closely knit together or far apart. This plot is a scatter diagram and is one of the first things done to establish relationship. Post this we find the regression equations, and do hypothesis tests to check for statistical relationships. Therefore Option 3: Preliminary.

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Q6) As stated, we plot the data (dependent vs independent) on an XY plot to see visually if there is a relatioship between the variables. These variables have to be quantitaive and should be able to take the value of 0 as a possible value. Therefore Option 3: Interval Ratio.

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