Q19. For exercise 19 and 20, use the ... [FREE SOLUTION]

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Chapter 2: Q19. (page 85)

For exercise 19 and 20, use the table that shows the percent of people age 25 and over with a high school diploma over the last few decades.
19. Use a prediction equation to predict the percent in 2010.

Short Answer

Expert verified

The model predicts that $96.1 %$ of people will have a high school diploma in 2010.

Step by step solution

Step-1 – Determine the points.

Consider Year as x coordinate and Percent as y coordinates

Use the points $(1975, 62.5) 鈥� 鈥� a n d 鈥� 鈥� (1995, 81.7)$ to determine the equation of the line.

Step-2 – Determine the equation.

The point slope form is $y - y_{1} = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} (x - x_{1})$

Substitute $(x_{1} y_{1}) = (1975, 62.5) 鈥� 鈥� 鈥� a n d 鈥� 鈥� (x_{2} y_{2}) = (1995, 81.7) 鈥�$ into the above formula.

$\begin{array}{l} y 鈭� 62.5 = \frac{81.7 鈭� 62.5}{1995 鈭� 1975} (x 鈭� 1975) \\ y 鈭� 62.5 = \frac{19.2}{20} (x 鈭� 1975) \\ y 鈭� 62.5 = 0.96 (x 鈭� 1975) \\ y 鈭� 62.5 = 0.96 x 鈭� 1896 \\ y = 0.96 x 鈭� 1833.5 \end{array}$

Step-3 – Model prediction.

We need to predict the percent in 2010.

Put 2010 for x into the equation $y = 0.96 x - 1833.5$ .

$\begin{array}{l} y = 0.96 (2010) 鈭� 1833.5 \\ y = 1929.6 鈭� 1833.5 \\ y = 96.1 \end{array}$

The model predicts that $96.1 %$ of people will have a high school diploma in 2010.

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91影视

For exercise 19 and 20, use the table that shows the percent of people age 25 and over with a high school diploma over the last few decades.
19. Use a prediction equation to predict the percent in 2010.

Short Answer

Step by step solution

Step-1 – Determine the points.

Step-2 – Determine the equation.

Step-3 – Model prediction.

One App. One Place for Learning.

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91影视

For exercise 19 and 20, use the table that shows the percent of people age 25 and over with a high school diploma over the last few decades.19. Use a prediction equation to predict the percent in 2010.

Short Answer

Step by step solution

Step-1 – Determine the points.

Step-2 – Determine the equation.

Step-3 – Model prediction.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Mechanics Maths

Theoretical and Mathematical Physics

Applied Mathematics

Statistics

Pure Maths

Study anywhere. Anytime. Across all devices.

For exercise 19 and 20, use the table that shows the percent of people age 25 and over with a high school diploma over the last few decades.
19. Use a prediction equation to predict the percent in 2010.