Chapter 2: Q10. (page 84)

For Exercises 10-12, use the graph that shows how much Americans spent on doctors’ visits in some recent years.
10. Write prediction equation from the data for 1990, 1995, and 2000.

Short Answer

Expert verified

A prediction equation is $y = 35.2 x - 69, 485$

Step by step solution

Step-1 – Concept of prediction equation.

Prediction equation – An equation of line of fit is often called a prediction equation.

Step-2 – Calculate slope

Using points $(1990, 563) a n d (1995, 739)$

\begin{array}{l} S l o p e = \frac{739 - 563}{1995 - 1990} [∵ Slope= \frac{y_{2} - y_{1}}{x_{2} - x_{1}}] \\ = \frac{176}{5} \\ = 35.2 \end{array}

Step-3 – Determine equation of line.

Point slope form: $(y - y_{1}) = m (x - x_{1})$

Substituting the respective values

\begin{array}{l} (y - 563) = 35.2 (x - 1990) \\ y - 563 = 35.2 x - 70, 048 \\ y = 35.2 x - 69, 485 \end{array}

Hence, a predicted equation is $y = 35.2 x - 69, 485$

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For Exercises 10-12, use the graph that shows how much Americans spent on doctors’ visits in some recent years.
10. Write prediction equation from the data for 1990, 1995, and 2000.

Short Answer

Step by step solution

Step-1 – Concept of prediction equation.

Step-2 – Calculate slope

Step-3 – Determine equation of line.

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For Exercises 10-12, use the graph that shows how much Americans spent on doctors’ visits in some recent years.10. Write prediction equation from the data for 1990, 1995, and 2000.

Short Answer

Step by step solution

Step-1 – Concept of prediction equation.

Step-2 – Calculate slope

Step-3 – Determine equation of line.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Probability and Statistics

Applied Mathematics

Logic and Functions

Theoretical and Mathematical Physics

Decision Maths

Study anywhere. Anytime. Across all devices.

For Exercises 10-12, use the graph that shows how much Americans spent on doctors’ visits in some recent years.
10. Write prediction equation from the data for 1990, 1995, and 2000.