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QUIZ CORRELATION ANALYSIS AND REGRESSION

Total questions: 50

Worksheet time: 2hrs 43mins

Name
Class
Date
1.

The slope of the regression line of Y on X is also called the:

a)

Correlation coefficient of X on Y

b)

Correlation coefficient of Y on X

c)

Regression coefficient of X on Y

d)

Regression coefficient of Y on X

2.

If one regression coefficient is greater than one, then other will be:

a)

More than one

b)

Equal to one

c)

Less than one

d)

Equal to minus one

3.

The regression equation always passes through:

a)

(X, Y)

b)

(a, b)

c)

(X̅ ,ȳ)

d)

(X̅, Y)

4.

When two regression coefficients bear same algebraic signs, then correlation coefficient is:

a)

Positive

b)

Negative

c)

According to two signs

d)

Zero

5.

The value of the coefficient of correlation r lies between:

a)

0 and 1

b)

-1 and 0

c)

-1 and +1

d)

-0.5 and +0.5

6.

If the regression line is X on Y, then the variable X is known as

a)

a)Dependent variable

b)

b)Explained variable

c)

Both a and b

d)

Regressor

7.

If the correlation coefficient between two variables, X and Y, is negative, then the regression coefficient of Y on X is

a)

Positive

b)

Negative

c)

Not certain

d)

None of these

8.

Describe the correlation in the graph shown.

a)

A) Strong Negative

b)

B) Strong Positive

c)

C) Weak Negative

d)

D) No Correlation

9.

Estimate the correlation coefficient for this scatterplot.

a)

A) r = 1.2

b)

B) r = 0.89

c)

C)r = 0

d)

D) r = -0.89

10.

Estimate the correlation coefficient for this scatterplot.

a)

A) r = -0.9

b)

B) r = 1

c)

C) r = 0.9

d)

D) r = -1

11.

As x increases, y decreases.

a)

A) no correlation

b)

B) negative correlation

c)

C) correlation coefficient

d)

D) positive correlation

12.

As x increases, y increases

a)

A) correlation coefficient

b)

B) causation

c)

C) positive correlation

d)

D) negative correlation

13.
What units should be applied to the correlation coefficient? 
a)
A combined units explanatory and response variable.
b)
The units of the explanatory variable.
c)
The units of the response variable.
d)
 No units should be applied. 
14.
A perfectly negative correlation 
a)
implies a coefficient of determination of –1.0. 
b)
means that there must be a slope of –1.0.
c)
says that for every one additional unit of the variable on the x–axis, the variable on the y–axismust move down one additional unit.
d)
means that the r–value is is exactly 1.0. 
15.
What graph best shows correlation? 
a)
Bar Graph
b)
Histogram
c)
Ogive
d)
Scatterplot
16.
What letter do we use to represent correlation coefficient?
a)
c
b)
r
c)
p
d)
h
17.
The sign of the correlation coefficient tells you whether you have
a)
a positive relationship (m+)
b)
a negative relationship (m-)
c)
Both are true
18.
What would be the correlation between study time and test grades?
a)
positive
b)
negative
c)
none
d)
cannot be determined
19.
What is a best-fit line used for?
a)
To make predictions
b)
To make the graph look pretty
c)
To connect the points
d)
To make it look like you know what you are doing
20.

The range of a function is:

a)

the domain

b)

the x-values

c)

the algebra values

d)

the y-values

21.

If x is temperature and y is coffee sales, use the following formula to determine the coffee sales on a 34° day.

y = -60x+6443

a)

$4403

b)

$4673

c)

$8483

d)

$6443

22.

What is the y-intercept in the following equation: y= -5 - 4x?

a)

-4

b)

-4x

c)

5

d)

-5

23.

What is the slope in the following equation: y= 6 - 2/3x?

a)

2/3

b)

6

c)

-6

d)

-2/3

24.
Which of the following statistics show how much variance there is between y–values and x–values?
a)
Coefficient of Determination
b)
Slope of the Regression Line
c)
Standard Deviation
d)
Variance
25.
A perfect negative correlation has a correlation coefficient of ____. 
a)
1
b)
-1
c)
0
26.

What is a correlational research?

a)

relationship and difference between variables

b)

relationship between variables

c)

significant difference

d)

cause and effect relationship

27.

weight and height of students

a)

POSITIVE

b)

NEGATIVE

c)

ZERO

28.

number of customers and sales in a department store

a)

POSITIVE

b)

NEGATIVE

c)

ZERO

29.

amount of rainfall and amount of agricultural harvest

a)

POSITIVE

b)

NEGATIVE

c)

ZERO

30.

area and length of a side of a square

a)

POSITIVE

b)

NEGATIVE

c)

ZERO

31.

sense of humor and shoe size of persons

a)

POSITIVE

b)

NEGATIVE

c)

ZERO

32.

What happens to variable X and Y when they are positively correlated?

a)

X decreases as Y increases

b)

X decreases as Y decreases

c)

X increases as Y decreases

d)

X increases as Y increases

33.

income and educational attainment of employees

a)

POSITIVE

b)

NEGATIVE

c)

ZERO

34.

If there is perfect correlation between two variables then correlation coefficient must be

a)

greater than 1

b)

less than 1 but greater than zero

c)

zero

d)

one

35.

What is coefficient of correlation used for?

a)

particular value of one variable given the particular value of other variable.

b)

the strength of relationship between two variables.

c)

Both are correct

d)

None of the above

36.

This is an example of...

a)

Positive Correlation

b)

Strong Negative Correlation

c)

No correlation

d)

Weak negative correlation

37.

If change in one variable results a corresponding change in the other variable, then the variables are.........................

a)

a. Correlated

b)

b. Not correlated

c)

c. Any of the above

d)

d. None of the above

38.

Coefficient of correlation lies between:

a)

a. 0 and +1

b)

b. 0 and –1

c)

c. –1 and +1

d)

d. – 3 and +3

39.

If the ratio of change in one variable is equal to the ratio of change in the other variable, then the correlation is said to be .....................

a)

a. Linear

b)

b. Non-linear

c)

c. Curvilinear

d)

d. None of these

40.

If r= +1, the correlation is said to be ...................

a)

a. High degree of +ve correlation

b)

b. High degree of –ve correlation

c)

c. Perfect +ve correlation

d)

d. Perfect –ve correlation

41.

Coefficient of correlation explains .........................of the relationship between two variables.

a)

a. Degree

b)

b. Direction

c)

c. Both of the above

d)

d. None of the above

42.

Which value of r represents data with a strong negative linear correlation between two variables?

a)

-1.87

b)

-0.89

c)

-0.14

d)

-0.05

43.

Which value of r represents data with a moderate linear correlation between two variables?

a)

0.89

b)

0.45

c)

1.07

d)

0.09

44.

Linear regression analysis produces an equation of Y = 7 - 3.2X. This indicates that:

a)

An X value of 0 would would increase Y by 7.

b)

A 1 unit decrease in X results in a 3.2 unit decrease in Y.

c)

A 1 unit increase in X results in a 3.2 unit increase in Y.

d)

A 1 unit increase in X results in a 3.2 unit decrease in Y.

45.

If the least-squares equation is y = 5 + 2x, then an increase of 1 unit in x is associated with an increase of 2 units in y.

a)

True

b)

False

46.

For a regression equation y = 24 -0.3x, the coefficient of correlation should be

negative.

a)

True

b)

False

47.
What type of association does this scatter plot represent?
a)
positive linear association
b)
negative linear association
c)
no association
d)
nonlinear association
48.

Which scatter plot diagram shows the strongest positive correlation?

a)
b)
c)
d)
49.

If r=0, there is a strong correlation.

a)

True

b)

False

50.

If r=0 , then there is...

a)

Negative association

b)

No correlation

c)

Positive association

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