Q1In Colorado, after repeated experiments, doctors proved that excess intake of junk food results in obesity. But when the correlation was calculated between the two, it was found to be negligible. Which of the following would you conclude?

A. there is no causal factor present between the two
B. causal factor is present between the two
C. if correlation exists then causation exists
D. correlation doesn′t imply causation

Q2A research institute found that a strong correlation between coffee consumption and the intake of water. What would you conclude?

A. I dont know
B. correlation doesn′t imply causation
C. if correlation exists then causation exists
D. only correlation exists

Q3Is there any relationship between student's scores on an examination and student's cumulative grade- point average (GPA) upon graduation?
A. There is both correlation and causation.
B. There is causation but no correlation.
C. There is a correlation but no causation.
D. There is neither correlation nor causation.

Q4A company is interested in seeing if a relationship between the age of a truck and the cost to repair the truck are related. They do find that the older truck, the more costly the repair bills. Which statement can be concluded about the data?

A. There is causation but no correlation.
B. There is neither correlation nor causation.
C. There is both correlation and causation.
D. There is a correlation but no causation.

Q5A chemical firm spends $ 10 million for R & D in 2002 and expects to earn $ 45 million in profits that year. This has been the trend over 6 years. Is there any relationship between the money spent on research and development and the firm's annual profits?

A. There is both correlation and causation.
B. There is a correlation but no causation.
C. There is neither correlation nor causation.
D. There is causation but no correlation.

Q6The table shows the relationship between the hours of study per day and the test scores of 10 students.Find the correlation coefficient and describe the relationship.

Student	Hours of study(x)	Test scores (y)
A	6	48
B	12	72
C	8	65
D	10	70
E	12	78
F	7	65
G	12	82
H	6	50
I	14	85
J	15	90

A. - 0.953; strong negative relationship
B. 0.953; strong positive relationship
C. - 0.173; weak negative relationship
D. 0.173; weak positive relationship

Q7State whether true or false: "Two uncorrelated variables may not be independent."

x	-2	-1	0	1	2
y	64	1	0	1	64

Choose the correct statement for the data given in the table.

A. false; there does not exist a relationship
B. false; two uncorrelated variables are always independent
C. true; there exists a relation between x and y i.e., y = x⁶
D. true; two uncorrelated variables are always dependent

Q8A sample of average heights and the shoe sizes of 5 people from a population are given below.

Height(in inches)	60	62	64	66	66
Shoe size(in inches)	7	8	9	10	11

Calculate the correlation coefficient and describe the relation.

A. - 0.98; strong negative relationship
B. 1; strong positive relationship
C. -1; strong positive relationship
D. 0.98; strong negative relationship

Q9The average temperature (in °F) and precipitation (in cm) in 7 places of a state in the month of May-2010 are shown.

Average temperature(in °F)	42.3	40.2	41.8	42.9	43.1	42.6	40.7
Average precipitation(in cm)	0.85	1.72	0.69	2.77	2.46	1.89	0.64

Find the correlation coefficient.
A. 0.76
B. - 0.54
C. 0.54
D. - 0.76

Q10Calculate the correlation coefficient for the data shown and describe the relationship.

x	34	31	35	30	32	35	32	33
y	35	32	30	31	34	30	33	35

A. - 0.134; weak negative relationship
B. 0.1506; weak positive relationship
C. - 0.1506; weak negative relationship
D. 0.134; weak positive relationship

Q11The relation between midterm scores and final scores of 10 students in a class are as shown. Calculate the correlation coefficient and describe the relationship.

Student	A	B	C	D	E	F	G	H	I	J
Midterm scores(x)	76	68	66	83	90	72	79	92	96	87
Final scores(y)	71	75	79	77	84	68	82	98	88	93

A. 2.105
B. 0.752
C. 1.243
D. 0.141

Q12The local ice cream shop keeps track of ice cream sales in a day versus the temperature on that day, here are their figures for the last 7 days:

Temperature °C(x)	Ice Cream Sales (y)
14.2°	$210
16.4°	$320
11.9°	$185
15.2°	$328
18/5°	$410
22.1°	$518
19.4°	$416

Calculate the coefficient of correlation between the temperature and sales and describe the relationship.

A. -0.975
B. -0.645
C. 0.975
D. 0.645

Q13At different speeds of a car, the time for a particular journey are shown in the table. Find the correlation coefficient between the speed (in miles per hour) of the car and the time taken(in hours) by the car.

Speed(x)	Time(y)
50	50
55	40
60	42
65	35
70	36

A. 1.321
B. -1.321
C. -1.098
D. 1.098