What fraction of the variation in mortality rates is explained by the least-squares regression? -0.0067 O 13.45 The least-squares regression line always passes through the point O (0,0) O G.y) O (median of x, median of y) O None of these
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.
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Homework 2.2-2.4
26. Colorectal cancer (CRC) is the third most commonly diagnosed cancer among Americans (with nearly 147,000 new cases), and the third leading cause of cancer death (with over 50,000 deaths annually). Research was
done to determine whether there is a link between obesity and CRC mortality rates among African Americans in the United States by county. Below are the results of a least-squares regression analysis from the
software StatCrunch.
Simple linear regression results:
Dependent Variable: Mortality.rate
Independent Variable: Obesity.rate
Mortality.rate = 13,458199 - 0.21749489 Obesity.rate
Sample size: 3098
R (correlation coefficient) = -0.0067
R-sq = 4.5304943E-5
Estimate of error standard deviation: 111.20661
Parameter estimates:
Parameter Estimate
Std. Err. Alternative DF
T-Stat
P-Value
Intercept
13.458199 15.9797735
+0 3096 0.84220207 0.3997
Slope
-0.21749489 0.5807189
+0 3096 -0.37452698
0.708
Analysis of variance table for regression model:
Source DF
SS
MS
F-stat
P-value
Model
1
1734.7122 1734.7122 0.14027046
0.708
Error
3096 3.8287952E7
12366.91
Total 30973.8289688E7
What fraction of the variation in mortality rates is explained by the least-squares regression?
O o
O 1
O -0.0067
O 13,45
27. The least-squares regression line always passes through the point
O (0,0)
O (7,y)
O (median of x, median of y)
O None of these answers are correct.
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