### Regression Analysis ProblemIn this exercise, you are tasked with finding the regression equation using the given data. The first variable is the predictor (\(x\)) variable. The goal is to predict the age of the Best Actor winner based on the ages of the Best Actress winners over various years.**Data:**- **Best Actress Ages:** 27, 29, 28, 60, 30, 34, 46, 28, 60, 30, 42, 56- **Best Actor Ages:** 44, 38, 38, 46, 51, 49, 58, 53, 59, 38, 46, 35**Task:**Find the best predicted age of the Best Actor winner given the age of the Best Actress winner for that year is 29 years. Determine if this predicted age is within 5 years of the actual Best Actor winner whose age was 38 years.**Formulation:**To accomplish this, we need to establish the equation of the regression line:\[ \hat{y} = a + bx \]- **\(a\)** = y-intercept (rounded to one decimal place)- **\(b\)** = slope (rounded to three decimal places)Once the regression equation is found, substitute the given age of the Best Actress (29 years) into the equation to calculate the predicted age of the Best Actor.**Solution Steps:**1. Calculate the y-intercept (\(a\)).2. Calculate the slope (\(b\)) of the regression line using the given data.3. Substitute \(x = 29\) into the regression equation to find the predicted age of the Best Actor.4. Compare the predicted age with the actual age of 38 years to check if it falls within a 5-year range.This problem provides an opportunity to apply statistical analysis techniques to real-world data and make informed predictions.

Calculate the following values: x y (x - mean_x)2 (y - mean_y)2 (x - mean_x)*(y - mean_y) 27…

Answered: Find the regression equation, letting…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 28 years. Is the result within 5 years of the actual Best Actor winner, whose age was 53 years? Best Actress 29 29 30 58 30 33 45 28 60 22 42 51 Best Actor 44 38 38 44 50 46 60 53 41 55 46 31
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 29 years. Is the result within 5 years of the actual Best Actor winner, whose age was 51 years? Best Actress 27 30 30 60 30 34 44 29 65 23 45 56 D Best Actor 41 38 37 46 51 46 60 51 39 55 44 34 Find the equation of the regression line. (Round the y-intercept to one decimal place as needed. Round the slope to three decimal places as needed.)
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The datasetBody.xlsgives the percent of weight made up of body fat for 100 men as well as other variables such as Age, Weight (lb), Height (in), and circumference (cm) measurements for the Neck, Chest, Abdomen, Ankle, Biceps, and Wrist. We are interested in predicting body fat based on abdomen circumference. Find the equation of the regression line relating to body fat and abdomen circumference. Make a scatter-plot with a regression line. What body fat percent does the line predict for a person with an abdomen circumference of 110 cm? One of the men in the study had an abdomen circumference of 92.4 cm and a body fat of 22.5 percent. Find the residual that corresponds to this observation. Bodyfat Abdomen 32.3 115.6 22.5 92.4 22 86 12.3 85.2 20.5 95.6 22.6 100 28.7 103.1 21.3 89.6 29.9 110.3 21.3 100.5 29.9 100.5 20.4 98.9 16.9 90.3 14.7 83.3 10.8 73.7 26.7 94.9 11.3 86.7 18.1 87.5 8.8 82.8 11.8 83.3 11 83.6 14.9 87 31.9 108.5 17.3…
Is It Getting Harder to Win a Hot Dog Eating Contest?Every Fourth of July, Nathan’s Famous in New York City holds a hot dog eating contest. The table below shows the winning number of hot dogs and buns eaten every year from 2002 to 2015, and the data are also available in HotDogs. The figure below shows the scatterplot with the regression line. Year Hot Dogs 2015 62 2014 61 2013 69 2012 68 2011 62 2010 54 2009 68 2008 59 2007 66 2006 54 2005 49 2004 54 2003 45 2002 50 Winning number of hot dogs in the hot dog eating contest Winning number of hot dogs and buns Click here for the dataset associated with this question. (a) Is the trend in the data mostly positive or negative? Positive Negative (b) Using the figure provided, is the residual larger in 2007 or 2008?Choose the answer from the menu in accordance to item (b) of the question statement 20072008 Is the residual positive or…
The data show the chest size and weight of several bears. Find the regression equation, letting chest size be the independent (x) variable. Then find the best predicted weight of a bear with a chest size of 40 inches. Is the result close to the actual weight of 352 pounds? Use a significance level of 0.05. Chest size (inches) *Weight (pounds) 44 54 328 528 41 55 39 51 418 580 296 503 Click the icon to view the critical values of the Pearson correlation coefficient r. - What is the regression equation? x (Round to one decimal place as needed.)
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 34 years. Is the result within 5 years of the actual Best Actor winner, whose age was 47 years? Best Actress 27 32 28 59 32 34 46 28 64 23 43 54 Best Actor 42 36 37 43 48 47 60 53 40 53 45 34 Find the equation of the regression line. y=_ +(_)x
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 27 years. Is the result within 5 years of the actual Best Actor winner, whose age was 43 years? Best Actress 27 32 30 63 30 31 47 30 61 22 46 54 9 Best Actor 43 39 37 46 48 48 62 49 38 56 42 35
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 31 years. Is the result within 5 years of the actual Best Actor winner, whose age was 38 years? Best Actress Best Actor 27 31 29 59 33 42 38 36 43 53 34 47 22 46 55 39 57 45 33 44 28 63 62 49 *** Find the equation of the regression line. ŷ=0+0x (Round the y-intercept to one decimal place as needed. Round the slope to three decimal places as needed.)
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 28 years. Is the result within 5 years of the actual Best Actor winner, whose age was 39 years? Best Actress 28 32 28 58 31 31 47 29 63 21 43 57 Best Actor 42 38 39 43 49 50 57 53 38 53 45 35 1. Find the equation of the regression line. y =__+(__)x 2. Estimate y for x = 28 y=
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 31 years. Is the result within 5 years of the actual Best Actor winner, whose age was 52 years? Best Actress Best Actor 27 52 O 29 37 28 37 63 43 31 32 52 45 47 62 28 62 21 43 44 45 48 40 53 31 Find the equation of the regression line. (Round the y-intercept to one decimal place as needed. Round the slope to three decimal places as needed.)
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 32 years. Is the result within 5 years of the actual Best Actor winner, whose age was 48 years? Best Actress 29 31 28 58 32 33 43 29 64 21 44 Best Actor 41 49 59 48 37 52 44 35 36 43 48 y 57 35 Find the equation of the regression line. ŷ=+xx (Round the y-intercept to one decimal place as needed. Round the slope to three decimal places as needed.)

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x	y	(x - mean_x)²	(y - mean_y)²	*(x - mean_x)(y - mean_y)**
27	44	132.250	5.063	25.875
29	38	90.250	68.063	78.375
28	38	110.250	68.063	86.625
60	46	462.250	0.063	-5.375
30	51	72.250	22.563	-40.375
34	49	20.250	7.563	-12.375
46	58	56.250	138.063	88.125
28	53	110.250	45.563	-70.875
60	39	462.250	52.563	-155.875
22	58	272.250	138.063	-193.875
42	46	12.250	0.063	-0.875
56	35	306.250	126.563	-196.875
SUM
462	555	2107	672.25	-397.5
Mean
38.500	46.250