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SOFTBALL

EXAMPLE 3. Predict using an equation. SOFTBALL. The table shows the number of participants in U.S. youth softball during the period 1997–2001 . Predict the year in which the number of youth softball participants reaches 1.2 million. EXAMPLE 3. Predict using an equation. SOLUTION. STEP 1.

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SOFTBALL

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  1. EXAMPLE 3 Predict using an equation SOFTBALL The table shows the number of participants in U.S. youth softball during the period 1997–2001. Predict the year in which the number of youth softball participants reaches 1.2 million.

  2. EXAMPLE 3 Predict using an equation SOLUTION STEP1 Perform linear regression. Let xrepresent the number of years since 1997, and let yrepresent the number of youth softball participants (in millions). The equation for the best-fitting line is approximately y =–0.02x + 1.435.

  3. ANSWER There will be 1.2 million participants about 12 years after 1997, or in 2009. EXAMPLE 3 Predict using an equation STEP2 Graph the equation of the best-fitting line. Trace the line until the cursor reaches y = 1.2. The corresponding x-value is shown at the bottom of the calculator screen.

  4. ANSWER 2006 for Example 3 GUIDED PRACTICE 2. SOFTBALL In Example 3, in what year will there be 1.25 million youth softball participants in the U.S?

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