Question

One method of calculating the approximate age, in years, of a tree of a particular species is to multiply the diameter of the tree, in inches, by a constant called the growth factor for that species. The table above gives the growth factors for eight species of trees.

The scatterplot above gives the tree diameter plotted against age for 26 trees of a single species. The growth factor of this species is closest to that of which of the following species of tree?

- Red maple
- Cottonwood
- White birch
- Shagbark hickory

## The correct answer is: Shagbark hickory

### Solution:-

- The growth factor of a tree species is approximated by the slope of a line of best fit that models the relationship between diameter and age.
- A line of best fit can be visually estimated by identifying a line that goes in the same direction of the data and where roughly half the given data points fall above and half the given data points fall below the line.
- Two points that fall on the line can be used to estimate the slope and
*y*-intercept of the equation of a line of best fit.
- Estimating a line of best fit for the given scatterplot could give the points

(11, 80) and (15, 110). Using these two points, the slope of the equation of the line of best fit can be calculated as

Slope= (110 – 80 )(15 -11) = 30/4 = 7.5

The slope of the equation is interpreted as the growth factor for a species of tree.

- According to the table, the species of tree with a growth factor of 7.5 is shagbark hickory.

Choices A, B, and C are incorrect and likely result from errors made when estimating a line of

best fit for the given scatterplot and its slope.

Therefore correct option is D)Shagbark History.

*y*-intercept of the equation of a line of best fit.### Related Questions to study

One method of calculating the approximate age, in years, of a tree of a particular species is to multiply the diameter of the tree, in inches, by a constant called the growth factor for that species. The table above gives the growth factors for eight species of trees.

According to the information in the table, what is the approximate age of an American elm tree with a diameter of 12 inches?

One method of calculating the approximate age, in years, of a tree of a particular species is to multiply the diameter of the tree, in inches, by a constant called the growth factor for that species. The table above gives the growth factors for eight species of trees.

According to the information in the table, what is the approximate age of an American elm tree with a diameter of 12 inches?

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### y=x^{2} - a

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According to the line graph above, between which two consecutive years was there the greatest change in the number of 3‑D movies released?</span

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### A polling agency recently surveyed 1,000 adults who were selected at random from a large city and asked each of the adults, “Are you satisfied with the quality of air in the city?” Of those surveyed, 78 percent responded that they were satisfied with the quality of air in the city. Based on the results of the survey, which of the following statements must be true?

I. Of all adults in the city, 78 percent are satisfied with the quality of air in the city.

II. If another 1,000 adults selected at random from the city were surveyed, 78 percent of them would report they are satisfied with the quality of air in the city.

III. If 1,000 adults selected at random from a different city were surveyed, 78 percent of them would report they are satisfied with the quality of air in the city.

In mathematics, a survey is a technique for gathering data that involves posing a series of questions to participants to learn more about their attitudes and behaviors. It is the most typical and affordable method of data collection.

For example, Knowledge of consumer purchasing patterns can be used to understand product demand better and increase sales.**Types of Survey Methods**

The procedure for gathering data is referred to as the survey method. Different approaches can help you get the extra information or insights you're looking for. Below is a list of some popular techniques.

Online Survey

Paper Survey

Telephonic Survey

Face-to-Face Interview

### A polling agency recently surveyed 1,000 adults who were selected at random from a large city and asked each of the adults, “Are you satisfied with the quality of air in the city?” Of those surveyed, 78 percent responded that they were satisfied with the quality of air in the city. Based on the results of the survey, which of the following statements must be true?

I. Of all adults in the city, 78 percent are satisfied with the quality of air in the city.

II. If another 1,000 adults selected at random from the city were surveyed, 78 percent of them would report they are satisfied with the quality of air in the city.

III. If 1,000 adults selected at random from a different city were surveyed, 78 percent of them would report they are satisfied with the quality of air in the city.

In mathematics, a survey is a technique for gathering data that involves posing a series of questions to participants to learn more about their attitudes and behaviors. It is the most typical and affordable method of data collection.

For example, Knowledge of consumer purchasing patterns can be used to understand product demand better and increase sales.**Types of Survey Methods**

The procedure for gathering data is referred to as the survey method. Different approaches can help you get the extra information or insights you're looking for. Below is a list of some popular techniques.

Online Survey

Paper Survey

Telephonic Survey

Face-to-Face Interview

The formula above is used to estimate the ideal quantity, *Q*, of items a store manager needs to order given the demand quantity, *d*; the setup cost per order, *K*; and the storage cost per item, *h*. Which of the following correctly expresses the storage cost per item in terms of the other variables?

**Note:**

Whenever there is an equation with a square root involved, first we try to remove that square root to get a clear picture of the equation. It is easier to operate on an equation with no square roots or log or inverse.

The formula above is used to estimate the ideal quantity, *Q*, of items a store manager needs to order given the demand quantity, *d*; the setup cost per order, *K*; and the storage cost per item, *h*. Which of the following correctly expresses the storage cost per item in terms of the other variables?

**Note:**

Whenever there is an equation with a square root involved, first we try to remove that square root to get a clear picture of the equation. It is easier to operate on an equation with no square roots or log or inverse.