The data show the chest size and weight of several bears. Find the regression equation, lettir actual weight of 293 pounds? Use a significance level of 0.05. Chest size (inches) Weight (pounds) Click the icon to view the critical values of the Pearson correlation coefficient r. 50 41 45 52 45 45 O 321 221 265 335 307 265 What is the regression equation? y=D• ]× (Round to one decimal place as needed.) +
The data show the chest size and weight of several bears. Find the regression equation, lettir actual weight of 293 pounds? Use a significance level of 0.05. Chest size (inches) Weight (pounds) Click the icon to view the critical values of the Pearson correlation coefficient r. 50 41 45 52 45 45 O 321 221 265 335 307 265 What is the regression equation? y=D• ]× (Round to one decimal place as needed.) +
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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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:0.070
U.939
6.
0.811
0.917
0.754
0.875
8
0.707
0.834
0.666
0.798
10
0.632
0.765
11
0.602
0.735
12
0.576
0.708
13
0.553
0.684
14
0.532
0.661
15
0.514
0.641
16
0.497
0.623
17
0.482
0.606
18
0.468
0.590
19
0.456
0.575
20
0.444
0.561
25
0.396
0.505
30
0.361
0.463
35
0.335
0.430
40
0.312
0.402
45
0.294
0.378
50
0.279
0.361
60
0.254
0.330
70
0.236
0.305
80
o220
0.286
90
0.207
0.269
100
0.196
0.256
a = 0.05
a = 0.01
Print
Done
Transcribed Image Text: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 44 inches. Is the result close to the
actual weight of 293 pounds? Use a significance level of 0.05.
Chest size (inches)
Weight (pounds)
45
221 265
50
41
52
45
335 307
45
265
Critical Values of the Pearson Correlation Coefficient r
321
Click the icon to view the critical values of the Pearson correlation coefficient r.
What is the regression equation?
Critical Values of the Pearson Correlation Coefficient r
a = 0.05
a = 0.01
0.990
NOTE: To test Ho: p=0
y=+x (Round to one decimal place as needed.)
4
against H,: p#0, reject H,
jf the absolute value of r is
greater than the critical
value in the table.
0.950
0.878
0.959
6
0.811
0.917
0.754
0.875
8
0.707
0.834
9
0.666
0.798
10
0.632
0.765
11
0.602
0.735
12
0.576
0.708
0.684
0.661
13
0.553
14
0.532
15
0.514
0.641
0.497
16
17
18
19
0.623
0.482
0.606
0.468
0.590
0.456
0.575
20
0.444
0.561
25
0.396
0.505
30
0.361
0.463
35
0.335
0.430
40
0.312
0.402
45
0.294
0.378
0.361
0.330
0.305
50
0.279
0.254
0.236
60
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