A veterinary research center analyzed data the body and heart weight (both in grams) of certain animal. The researchers want to understand if there is a significant linear relationship between heart weight and total body weight. Use Excel or other software to answer the following. : Click to view and copy/download the data on body and heart weights. a) Using heart weight as the independent variable, the linear regression can be estimated as: y%3D (Round b, and b, to the nearest integer and one decimal place, respectively, including any zeros in the decimal.) b) The researchers should test the hypothesis Ho: B1 = 0 against H,:B, #0, which is a O two-tailed test. one-tailed test. c) The t value for the test is (Round to two decimal places, including any zeros.) d) The p-value for the test is (Round to three decimal places, including any zeros.) e) There sufficient evidence to reject Ho and suggest a significant linear relationship between heart and body weights.
A veterinary research center analyzed data the body and heart weight (both in grams) of certain animal. The researchers want to understand if there is a significant linear relationship between heart weight and total body weight. Use Excel or other software to answer the following. : Click to view and copy/download the data on body and heart weights. a) Using heart weight as the independent variable, the linear regression can be estimated as: y%3D (Round b, and b, to the nearest integer and one decimal place, respectively, including any zeros in the decimal.) b) The researchers should test the hypothesis Ho: B1 = 0 against H,:B, #0, which is a O two-tailed test. one-tailed test. c) The t value for the test is (Round to two decimal places, including any zeros.) d) The p-value for the test is (Round to three decimal places, including any zeros.) e) There sufficient evidence to reject Ho and suggest a significant linear relationship between heart and body weights.
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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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:A veterinary research center analyzed data the body and heart weight (both in grams) of
certain animal. The researchers want to understand if there is a significant linear relationship
between heart weight and total body weight. Use Excel or other software to answer the
following.
Click to view and copy/download the data on body and heart weights.
a) Using heart weight as the independent variable, the linear regression can be estimated as:
X.
y3=
(Round b, and b, to the nearest integer and one decimal place, respectively, including any
zeros in the decimal.).
b) The researchers should test the hypothesis Ho: B, = 0 against H, B, ±0, which is a
two-tailed test.
one-tailed test.
C) The t value for the test is
(Round to two decimal places, including any zeros.)
d) The p-value for the test is
(Round to three decimal places including any zeros.)
e) There
V sufficient evidence to reject H and suggest a significant linear relationship
between heart and body weights.
Transcribed Image Text:Study of woodchucks
Heart Weight
Body Weight
(grams)
(grams)
4050
10.6
2435
15.7
3135
13.7
5740
13.7
2555
14.7
15.8
3665
2035
13.2
4260
11.8
2990
15.2
4935
3690
2880
13.8
13.2
10 7
2760
118
15.1
14.6
10.1
2160
2360
2040
2055
14 8
2650
14.8
2665
11.7
Print
Done
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