Section 6.3 - Curves Of Best Fit
This is a quiz based on a bunch of randomly chosen statistics and figures depicting specific information of happenings in the world. If you want to know the curves of best fit, take this quiz to find out.
- 1.
The world population in billions, every 5 years is listed in the table. Which graph shows the curve of best fit for the data
- A.
Graph A
- B.
Graph B
- C.
Graph C
- D.
Graph D
Correct Answer
A. GrapH AExplanation
Graph A shows a smooth curve that best represents the data points for the world population every 5 years. The curve starts at a lower point and gradually increases over time, indicating a steady growth in population. This curve fits the trend of the data points more accurately compared to the other graphs, which either show abrupt changes or do not capture the overall growth pattern.Rate this question:
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- 2.
This data shows the distance and orbit time for the planets from the sun. Use a curve of best fit to estimate Neptune's distance from the sun if its orbit is 60 189 days.
- A.
4000 million km
- B.
4500 million km
- C.
5000 million km
- D.
5500 million km
Correct Answer
B. 4500 million kmExplanation
The data provided shows the distance and orbit time for the planets from the sun. By using a curve of best fit, we can estimate Neptune's distance from the sun if its orbit is 60,189 days. Based on the given options, the closest estimate is 4500 million km.Rate this question:
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- 3.
Consider the distance and orbit data from the sun, shown above. For a curve of best fit, should you use a solid curve or a dashed curve? Why?
- A.
Solid curve because the variables are discrete
- B.
Solid curve because the variables are continuous
- C.
Dashed curve because the variables are discrete
- D.
Dashed curve because the variables are continuous
Correct Answer
C. Dashed curve because the variables are discreteExplanation
A dashed curve should be used because the variables are discrete. Discrete variables are distinct and separate, meaning they can only take on specific values. In this case, the distance and orbit data from the sun are likely to be discrete values, such as specific distances or specific orbital periods. A dashed curve is more appropriate for representing discrete data because it shows that the values are not connected or continuous.Rate this question:
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- 4.
The scatter plot shows the number of fruit fliws over time. What is the best estimate for the number of flies halfway through day 6?
- A.
190
- B.
205
- C.
215
- D.
225
Correct Answer
B. 205Explanation
The scatter plot represents the number of fruit flies over time. To estimate the number of flies halfway through day 6, we can look at the position on the scatter plot. Since the options are 190, 205, 215, and 225, the best estimate would be 205, as it falls closest to the midpoint of the scatter plot for day 6.Rate this question:
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- 5.
The table shows the millions of Automated Teller Machines (ATM) transactions for Piet's bank each year. Predict the number of transactions for 1997.
- A.
12500
- B.
13500
- C.
14000
- D.
14500
Correct Answer
B. 13500Explanation
The answer of 13500 is likely the predicted number of transactions for 1997 because it falls between the two given values of 12500 and 14500. Since the values in the table are in millions, it can be assumed that the answer is also in millions.Rate this question:
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- 6.
A herd of bison are moved to a remote ranch where they have no predators. Data on the population of the herd were collected for 8 years. Use a graph to estimate the population of the herd after 3.5 years.
- A.
115
- B.
125
- C.
130
- D.
140
Correct Answer
A. 115Explanation
Since the bison have no predators in the remote ranch, it is likely that their population would increase over time. However, the data provided only covers a period of 8 years, and we are asked to estimate the population after 3.5 years. Without any additional information or trend in the data, it is difficult to make an accurate estimation. Therefore, the answer of 115 is a reasonable guess based on the available options.Rate this question:
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- 7.
This scatter plot shows a line of best fit for the weight of David's Great Dane puppy as he aged. What is the best estimate for the weight of the puppy when it was 14 months old?
- A.
51
- B.
52
- C.
54
- D.
56
Correct Answer
C. 54Explanation
Based on the scatter plot and the line of best fit, we can see that as the puppy aged, its weight increased. At 14 months old, the line of best fit intersects with the y-axis at approximately 54. Therefore, the best estimate for the weight of the puppy when it was 14 months old is 54.Rate this question:
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- 8.
The graph shows the population size for groundhogs in a 1-square mile are over 30 generations. What does the section marked B signify?
- A.
The rapid growth of the population
- B.
The rapid decline of the population
- C.
The death of most of teh population
- D.
The stabilization of the population
Correct Answer
D. The stabilization of the populationExplanation
The section marked B signifies the stabilization of the population. This is indicated by the population size remaining relatively constant over time, without significant increases or decreases.Rate this question:
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- 9.
This scatter plot shows the heart rate of a chicken egg at various temperatures. Wasim said the curve of best fit should be solid because the data are discrete, but Nadine said it should be dashed because the data are continuous. Who is correct?
- A.
Wassim only
- B.
Nadine Only
- C.
Both Wassim and Nadine
- D.
Neither Wassim nor Nadine
Correct Answer
D. Neither Wassim nor NadineExplanation
Neither Wassim nor Nadine is correct. The scatter plot shows the heart rate of a chicken egg at various temperatures, indicating a relationship between the two variables. However, the data points are discrete, meaning they are separate and distinct values. Therefore, a curve of best fit cannot be solid or dashed, as it would not accurately represent the nature of the data. Instead, a scatter plot with connected data points or a line of best fit could be used to visualize the general trend between the variables.Rate this question:
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- 10.
Bill sketched the scatter plot of the annual number of deaths per 100,000 women due to lung cancer. He then drew a line and a curve of best fit and used each to predict the number of deaths in 2000. Which prediction do you think is more reliable?
- A.
Line of best fit because it is more reliable when extrapolating
- B.
Curve of best fit because it is more reliable when interpolating
- C.
Neither because the question is out of the range of the data
- D.
Curve of best fit because it aligns with the data more closely
Correct Answer
D. Curve of best fit because it aligns with the data more closelyExplanation
The curve of best fit is more reliable because it aligns with the data more closely. This means that the curve accurately represents the relationship between the number of deaths and the year. The line of best fit, on the other hand, may not accurately capture the pattern in the data and could lead to less accurate predictions. Therefore, the curve of best fit is a more reliable tool for predicting the number of deaths in 2000.Rate this question:
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Aug 18, 2023Quiz Edited by
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Nov 15, 2008Quiz Created by
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