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 30 years. Is the result within 5 years of the actual Best Actor winner, whose age was 51 years? Best Actress 28 63 23 44 52 D 56 43 31 29 30 64 31 33 46 30 Best Actor 43 36 37 46 48 49 63 51 40

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Nine- Hi Team I need help with this exercise from stats. 

It has 3 parts so please provide an answer for all of them. Thanks a lot in advance.

The last part which is completing the sentence says :

(Yes / No) the predicted age is ( more than 5 years greater than / more than 5 years less than / 5 years or less from ) the actual​ winner's age.

 

**Instruction:** 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 30 years. Is the result within 5 years of the actual Best Actor winner, whose age was 51 years?

**Data Table:**

|               | Ages                    |
|---------------|-------------------------|
| Best Actress  | 28  29  30  64  31  33  46  30  63  23  44  52 |
| Best Actor    | 43  36  37  46  48  49  63  51  40  56  43  31 |

**Explanation:**

1. **Overview**: The task involves finding a regression equation using the ages of Best Actress winners as the predictor variable (x) and the ages of Best Actor winners as the response variable (y).

2. **Predictive Question**: With an input of a 30-year-old Best Actress winner, the goal is to predict the Best Actor's age and determine if it falls within 5 years of an actual Best Actor's age, which is 51.

3. **Data Utilization**: The data table lists the ages of Best Actress and Best Actor winners across various years. These ages will be used to plot and compute a regression line, allowing for prediction and analysis.
Transcribed Image Text:**Instruction:** 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 30 years. Is the result within 5 years of the actual Best Actor winner, whose age was 51 years? **Data Table:** | | Ages | |---------------|-------------------------| | Best Actress | 28 29 30 64 31 33 46 30 63 23 44 52 | | Best Actor | 43 36 37 46 48 49 63 51 40 56 43 31 | **Explanation:** 1. **Overview**: The task involves finding a regression equation using the ages of Best Actress winners as the predictor variable (x) and the ages of Best Actor winners as the response variable (y). 2. **Predictive Question**: With an input of a 30-year-old Best Actress winner, the goal is to predict the Best Actor's age and determine if it falls within 5 years of an actual Best Actor's age, which is 51. 3. **Data Utilization**: The data table lists the ages of Best Actress and Best Actor winners across various years. These ages will be used to plot and compute a regression line, allowing for prediction and analysis.
Find the equation of the regression line.

\[
\hat{y} = \textcolor{#87CEEB}{\text{[  ]}} + (\textcolor{#87CEEB}{\text{[  ]}})x
\]
(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 30 years, is \(\textcolor{#87CEEB}{\text{[  ]}}\) 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 50 years?

\[
\text{[  ]} \quad \text{the predicted age is} \quad \text{[  ]} \quad \text{the actual winner's age.}
\]
Transcribed Image Text:Find the equation of the regression line. \[ \hat{y} = \textcolor{#87CEEB}{\text{[ ]}} + (\textcolor{#87CEEB}{\text{[ ]}})x \] (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 30 years, is \(\textcolor{#87CEEB}{\text{[ ]}}\) 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 50 years? \[ \text{[ ]} \quad \text{the predicted age is} \quad \text{[ ]} \quad \text{the actual winner's age.} \]
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