Which of the following statements demonstrates a negative correlation between two variables?
A. People who play baseball more tend to have more hits
B. Shorter people tend to weigh less than taller people
C. Tennis balls that are older tend to have less bounce
D. Cars that are older tend to have higher mileage
A negative correlation means as one variable increases, the other variable decreases or as one variable decreases, the other variable increases. Based on this definition, we analyze the given statement as follows:
People who play baseball more tend to have more hits is POSITIVE CORRELATION
Shorter people tend to weigh less than taller people is a POSITIVE CORRELATION
Tennis balls that are older tend to have less bounce is a NEGATIVE CORRELATION
Cars that are older tend to have higher mileage is a POSITIVE CORRELATION
Therefore, the Correct Answer is C.
More Questions on TEAS 7 Math
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Q #1: Two friends get frozen yoghurt. The ratio of yoghurt to toppings is 4:3. If one of the friends has 4.5 oz of toppings in their bowl, which of the following is the amount of yoghurt in their desert?
A. 6 oz
B. 5.5 oz
C. 3 oz
D. 3.5 oz
Answer Explanation
Yoghurt: toppings=4:3
Yoghurt: 4.5 oz =4:3
We convert the given ratio into a proportion equation as below
Multiply both sides by 4.5 oz
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Q #2: Which of the following is the best description for the data set below? 1, 1, 2, 2, 2, 2, 3, 3, 7, 7, 8, 8, 8, 8, 9, 9
A. Uniform
B. Right-skewed
C. Bimodal
D. Left-skewed
Answer Explanation
To solve this problem, we need to find the mean, mode, and median of the above data set.
From the data set, the mode of the data is 2 and 8. They are the most occurring elements in the data set.
The mean of data is the total divided by the number of elements
Total=1+ 1 + 2+ 2+ 2+ 2+ 3 +3+ 7+ 7+8+8+ 8+ 8+ 9+9=80
Number of elements=16
Mean=80/16=5
Median will fall in between the (N/2)th and (N/2+1)th position
(N/2)th =16/2 =8th position and (16/2+1)th =9th position
Since the data is arranged in ascending order as below
1, 1, 2, 2, 2, 2, 3, 3, 7, 7, 8, 8, 8, 8, 9, 9
Element in 8th position = 3
Element in 9th position =7
So the median average of the two elements=(3+7)/2=5
Now the data could be presented as follows in the distribution curve
This is because the data set has two modes, meaning the data is bimodal.
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Q #3: A new physician saw 841 clients during the first year of practice and 1072 clients during the second year of the practice. Which of the following represents the approximate percentage increase in the client volume?
A. 22%
B. 27%
C. 127%
D. 78%
Answer Explanation
Change in weight of client=new -old=1072-841= 231
Percent change=change/old*100%=231/841*100%=27.47%
The percentage change increase is about 27%
