Following are chest size and weight data for 6randomly selected bears. Here, x denotes chest size, in inches, and y denotes weight, in pounds. Use the information to complete parts x 55 44 46 58 40 54 y 329 276 270 346 256 333 a. Find the regression equation for the data points. Y= _________ (round to two decimal palces as needed) b. Graph the regression equation and the data points. c. Describe the apparent relationship between the two variables. A. Weight tends to increase as chest size increases. B. Weight tends to decrease as chest size increases. C. Weight remains constant as chest size increases. D. There is no apparent relationship between weight and chest siz
Following are chest size and weight data for 6randomly selected bears. Here, x denotes chest size, in inches, and y denotes weight, in pounds. Use the information to complete parts x 55 44 46 58 40 54 y 329 276 270 346 256 333 a. Find the regression equation for the data points. Y= _________ (round to two decimal palces as needed) b. Graph the regression equation and the data points. c. Describe the apparent relationship between the two variables. A. Weight tends to increase as chest size increases. B. Weight tends to decrease as chest size increases. C. Weight remains constant as chest size increases. D. There is no apparent relationship between weight and chest siz
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Concept explainers
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
Following are chest size and weight data for 6randomly selected bears. Here, x denotes chest size, in inches, and y denotes weight, in pounds. Use the information to complete parts
|
x
|
55
|
44
|
46
|
58
|
40
|
54
|
|
|---|---|---|---|---|---|---|---|
|
y
|
329
|
276
|
270
|
346
|
256
|
333
|
|
a. Find the regression equation for the data points.
Y= _________ (round to two decimal palces as needed)
b. Graph the regression equation and the data points.
c. Describe the apparent relationship between the two variables.
A. Weight tends to increase as chest size increases.
B. Weight tends to decrease as chest size increases.
C. Weight remains constant as chest size increases.
D. There is no apparent relationship between weight and chest size.
d. Identify the predictor and response variables.
A. The predictor variable is chest size and the response variable is weight.
B. The predictor variable is bear and the response variable is chest size.
C. The predictor variable is bear and the response variables are weight and chest size.
D. The predictor variable is weight and the response variable is chest size.
e. Identify outliers and potential influential observations.
A. There is one outlier and no influential observations.
B. There are no outliers and one influential observation.
C. There are one or more outliers and influential observations.
D. There are no outliers and no influential observations.
f. Predict the value of the response variable for a 50-inch chest size.
y= ___________ pounds (Round to the nearest integer as needed.)
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