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Chapter 2: Q10. (page 84)

For Exercises 10-12, use the graph that shows how much Americans spent on doctors鈥� 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=35.2x-69,485

Step by step solution

01

Step-1 – Concept of prediction equation.

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

02

Step-2 – Calculate slope

Using points (1990,563)鈥�and鈥�(1995,739)

Slope=739鈭�5631995鈭�1990[鈭�Slope=y2鈭�y1x2鈭�x1]=1765=35.2
03

Step-3 – Determine equation of line.

Point slope form:(y-y1)=m(x-x1)

Substituting the respective values

(y鈭�563)=35.2(x鈭�1990)y鈭�563=35.2x鈭�70,048y=35.2x鈭�69,485

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

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