To examine the linear correlation between adult age and weight, data was collected from 9 adults. table below. Age Weight (Years) (pounds) 32 219 36 205 42 179 46 149 51 210 57 159 58 245 59 193 60 192 Does this result suggest that the correlation is statistically significant? Use a = 0.05. Important Note: Round your value for r to three decimals before computing the STS. DO NOT use the in LinRegTTest on a calculator because you might get marked wrong. When computing the P-value, u rounded STS. 1. Select the correct statement: O If the correlation is found to be statistically significant, that means that changes in x cause cha
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.
![To examine the linear correlation between adult age and weight, data was collected from 9 adults. See the
table below.
Age
Weight
(Years) (pounds)
32
219
36
205
42
179
46
149
51
210
57
159
58
245
59
193
60
192
Does this result suggest that the correlation is statistically significant? Use a = 0.05.
Important Note: Round your value for r to three decimals before computing the STS. DO NOT use the built-
in LinRegTTest on a calculator because you might get marked wrong. When computing the P-value, use the
rounded STS.
1. Select the correct statement:
O If the correlation is found to be statistically significant, that means that changes in x cause changes](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F59fa220d-f9cc-422c-a581-6e0c6e82800a%2Fa655edce-0276-4fef-afc7-b35898e7f3ce%2F1gxtmll_processed.jpeg&w=3840&q=75)
![O Even if the correlation is found to be statistically significant, that does not necessarily mean that
changes in x cause changes in y
The hypotheses are:
O Ho:r < 0; Ha:r > 0
O Ho:p = 0; Ha:p+ 0
O Ho:r > 0; Ha:r < 0
O Ho:p < 0; Ha:p> 0
O Ho:r = 0; Ha:r+ 0
O Ho:p > 0; Ha:p < 0
2. This is a O twoO rightO left tailed test and the distribution used is
OT
Oz
The Degrees of Freedom are
09
07
O N/A; this is a Z-test
3. The STS (round to 3 decimals) is:
The P-value (round to 4 decimals) is:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F59fa220d-f9cc-422c-a581-6e0c6e82800a%2Fa655edce-0276-4fef-afc7-b35898e7f3ce%2F86eqrxq_processed.jpeg&w=3840&q=75)
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