Find the regression equation, letting the first variable be the predictor (x) variable. Using the listed actress/actor ages in various years, find the best predicted age of the Best Actor winner given that the age of the Best Actress winner that year is 59 years. Is the result within 5 years of the actual Best Actor winner, whose age was 46 years? 28 29 28 59 30 33 45 29 62 21 43 46 50 46 59 51 39 52 42 Best Actress Best Actor 43 38 38 54 35 Find the equation of the regression line. y=+( (Round the y-intercept to one decimal place as needed. Round the slope to three decimal places as needed.) The best predicted age of the Best Actor winner given that the age of the Best Actress winner that year is 59 years is years old. (Round to the nearest whole number as needed.) Is the result within 5 years of the actual Best Actor winner, whose age was 46 years? the predicted age is the actual winner's age.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 2AGP
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**Find the Regression Equation**

Using the ages of Best Actress and Best Actor winners across various years, determine the regression equation where the first variable is the predictor (x variable). The goal is to find the best predicted age (y) of the Best Actor winner when given the Best Actress winner's age for a particular year. Specifically, calculate the prediction for when the Best Actress winner was 59 years old and check if this prediction is within 5 years of the actual Best Actor winner, who was 46 years old.

**Data Table**

- Best Actress: 28, 29, 28, 59, 30, 33, 45, 29, 62, 21, 43, 54
- Best Actor: 43, 38, 38, 46, 50, 46, 59, 51, 39, 52, 42, 35

**Tasks**

1. **Find the Regression Line Equation:**  
   - Equation format: \( \hat{y} = [\text{y-intercept}] + [\text{slope}]x \)
   - Round the y-intercept to one decimal place.
   - Round the slope to three decimal places.

2. **Predict Age for Specific Case:**  
   - Determine the predicted age of the Best Actor winner when the Best Actress winner's age is 59. Round to the nearest whole number.

3. **Verify Accuracy of Prediction:**  
   - Confirm if the predicted age is within 5 years of the actual Best Actor winner's age of 46 years.
   - Choose whether the prediction is greater than, less than, or equal to the actual age.

Use this information to complete the regression analysis and verify the predictions.
Transcribed Image Text:**Find the Regression Equation** Using the ages of Best Actress and Best Actor winners across various years, determine the regression equation where the first variable is the predictor (x variable). The goal is to find the best predicted age (y) of the Best Actor winner when given the Best Actress winner's age for a particular year. Specifically, calculate the prediction for when the Best Actress winner was 59 years old and check if this prediction is within 5 years of the actual Best Actor winner, who was 46 years old. **Data Table** - Best Actress: 28, 29, 28, 59, 30, 33, 45, 29, 62, 21, 43, 54 - Best Actor: 43, 38, 38, 46, 50, 46, 59, 51, 39, 52, 42, 35 **Tasks** 1. **Find the Regression Line Equation:** - Equation format: \( \hat{y} = [\text{y-intercept}] + [\text{slope}]x \) - Round the y-intercept to one decimal place. - Round the slope to three decimal places. 2. **Predict Age for Specific Case:** - Determine the predicted age of the Best Actor winner when the Best Actress winner's age is 59. Round to the nearest whole number. 3. **Verify Accuracy of Prediction:** - Confirm if the predicted age is within 5 years of the actual Best Actor winner's age of 46 years. - Choose whether the prediction is greater than, less than, or equal to the actual age. Use this information to complete the regression analysis and verify the predictions.
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