# Section 6.3 - Curves Of Best Fit

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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

A. Graph A
Explanation
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.

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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

B. 4500 million km
Explanation
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.

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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

C. Dashed curve because the variables are discrete
Explanation
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.

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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

B. 205
Explanation
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.

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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

B. 13500
Explanation
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.

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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

A. 115
Explanation
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.

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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

C. 54
Explanation
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.

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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

D. The stabilization of the population
Explanation
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.

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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.

• C.

• D.

Explanation
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.

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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

D. Curve of best fit because it aligns with the data more closely
Explanation
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.

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• Current Version
• Aug 18, 2023
Quiz Edited by
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• Nov 15, 2008
Quiz Created by
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