the scatter plot below shows the relationship between the students exam scores and the students heights which of the following types of correlation is
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ATI TEAS 7

Practice Math TEAS TEST

1. The scatter plot below shows the relationship between the students' exam scores and their heights. Which type of correlation is depicted in the scatter plot?

Correct answer: D

Rationale: The scatter plot illustrates the relationship between students' exam scores and heights. There is no correlation between these variables, as height is not expected to have a direct impact on exam scores. Therefore, choice D, 'No correlation,' is the correct answer. Choices A, 'Positive,' and C, 'Negative,' are incorrect because the scatter plot does not indicate a positive or negative correlation between exam scores and heights. Choice B, 'Positive and Negative,' is also incorrect because the scatter plot does not exhibit both positive and negative correlations simultaneously.

2. Which is larger, feet or meters? What is the correct conversion factor between feet and meters?

Correct answer: A

Rationale: The correct answer is A. Feet are larger than meters. The conversion factor between feet and meters is 1 foot = 0.3048 meters. Choice B is incorrect as it states that meters are larger than feet, which is the opposite of the truth. Choice C is incorrect as it provides an incorrect conversion factor of 1 foot = 0.5 meters, which is inaccurate. Choice D is also incorrect as it suggests that meters are smaller than feet, which is not true.

3. Which of the following describes a proportional relationship?

Correct answer: A

Rationale: A proportional relationship is one in which two quantities vary directly with each other. In choice A, the amount deposited per month is directly proportional to the initial deposit. The relationship can be represented as y = 125x + 150, where x is the number of months and y is the total amount in the account. Choices B and C involve additional fixed amounts or variable costs that do not maintain a constant ratio, making them non-proportional relationships. Choice D refers to a constant speed of driving, which is not a proportional relationship as it does not involve varying quantities that change in direct proportion.

4. What is the mode of the numbers in the distribution shown in the table?

Correct answer: A

Rationale: The mode of a set of numbers is the value that appears most frequently. In the distribution shown in the table, the number '1' occurs more times than any other number, making it the mode. Choices B, C, and D are incorrect because they do not represent the number that occurs most frequently in the dataset.

5. Four friends are sharing a pizza. One friend eats half of the pizza. The other three friends equally divide the rest among themselves. What portion of the pizza does each of the other three friends receive?

Correct answer: A

Rationale: After one friend eats half of the pizza, the remaining half is divided equally among the three other friends. Each of the three friends receives 1/3 of the remaining half, not 1/6. Therefore, the correct answer is 1/3 of 1/2, which is 1/6 of the total pizza. The incorrect choices are: B. 1/3 - This is the correct portion of the remaining pizza each friend receives, not 1/3. C. 1/4 - This is not the accurate portion each friend receives after the first friend eats half of the pizza. D. 1/6 - This is the portion of the total pizza each friend receives, not the portion each friend receives after the initial half is consumed.

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