Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variables have a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The table below shows the heights (in feet) and the number of stories of six notable buildings in a city. Height, x Stories, y 619 519 508 43 491 474 775 (a) x = 500 feet (c) x = 810 feet (b) x = 649 feet (d) x= 732 feet 53 47 44 37 36 Find the regression equation. (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.) Choose the correct graph below. OA. 60- 60 800 Height (feet) 800 Height (feet) Height (feet) Height (feet) (a) Predict the value of y for x = 500. Choose the correct answer below. O A. 52 О в. 40 С. 48 OD. not meaningful (b) Predict the value of y for x= 649. Choose the correct answer below. O A. 56 О в. 48 Ос. 40 O D. not meaningful (c) Predict the value of y for x = 810. Choose the correct answer below. O A. 48 О в. 52 Ос. 56 D. not meaningful (d) Predict the value of y for x = 732. Choose the correct answer below. O A. 52 Ов. 56 C. 40 O D. not meaningful Stories B. Stories
Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variables have a significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The table below shows the heights (in feet) and the number of stories of six notable buildings in a city. Height, x Stories, y 619 519 508 43 491 474 775 (a) x = 500 feet (c) x = 810 feet (b) x = 649 feet (d) x= 732 feet 53 47 44 37 36 Find the regression equation. (Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.) Choose the correct graph below. OA. 60- 60 800 Height (feet) 800 Height (feet) Height (feet) Height (feet) (a) Predict the value of y for x = 500. Choose the correct answer below. O A. 52 О в. 40 С. 48 OD. not meaningful (b) Predict the value of y for x= 649. Choose the correct answer below. O A. 56 О в. 48 Ос. 40 O D. not meaningful (c) Predict the value of y for x = 810. Choose the correct answer below. O A. 48 О в. 52 Ос. 56 D. not meaningful (d) Predict the value of y for x = 732. Choose the correct answer below. O A. 52 Ов. 56 C. 40 O D. not meaningful Stories B. Stories
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter3: Straight Lines And Linear Functions
Section3.CR: Chapter Review Exercises
Problem 15CR: Life Expectancy The following table shows the average life expectancy, in years, of a child born in...
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Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
Question
Transcribed Image Text:Find the equation of the regression line for the given data. Then construct a scatter plot of the data and draw the regression line. (The pair of variables have a
significant correlation.) Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. The table below shows the heights (in
feet) and the number of stories of six notable buildings in a city.
Height, x
Stories, y
519
(a) x = 500 feet
(c) x = 810 feet
(b) x = 649 feet
(d) x = 732 feet
775
619
508
491
474
36
53
47
44
43
37
Find the regression equation.
y=x+ O
(Round the slope to three decimal places as needed. Round the y-intercept to two decimal places as needed.)
Choose the correct graph below.
OA.
60-
60-
60-
60-
800
Height (feet)
800
Height (feet)
800
Height (feet)
Height (feet)
(a) Predict the value of y for x = 500. Choose the correct answer below.
A. 52
В. 40
C. 48
D. not meaningful
(b) Predict the value of y for x = 649. Choose the correct answer below.
A. 56
В. 48
O C. 40
D. not meaningful
(c) Predict the value of y for x = 810. Choose the correct answer below.
A. 48
В. 52
C. 56
D. not meaningful
(d) Predict the value of y for x = 732. Choose the correct answer below.
O A. 52
В. 56
O C. 40
O D. not meaningful
O O O O
Stories
O O
O O
Stories
Stories
C.
Stories
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