Does the random paired data below show a linear correlation?
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.
![Does the random paired data below show a linear correlation?
y
13.86
2
10.82
3
15.38
4
14.14
5
20.8
6
11.66
7
22.12
8
18.48
9
26.74
10
18.7
11
25.86
12
32.82
13
21.78
14
32.14
15
26.3
When in doubt, assume the original claim is "There is linear correlation."
Original claim: ? vSelect an answer
Ho:
Select an answer v
Ha: ? v| Select an answer v](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb9849c3b-f0ff-47eb-829a-2c91d3fc6b02%2F58f262a0-f785-493e-87d7-00492602bfd3%2F0a9wv0q_processed.png&w=3840&q=75)
![We will use significance level .01.
What method can verify our claim? Select an answer
To check the requirements, graph
| Box plot
| Normal quantile plot
OScatter plot
Dotplot
| Histogram
and ensure
O all outliers are removed
| all outliers are removed that are due to errors
points are loosly grouped around a bell shaped curve
O points are loosly grouped around a line without an obvious curve
| there are at least 30 points
| there are at least 5 successes and 5 failures
Because technology can't check these requirements, we will just move on even though we might stop here
and state the requirements are not met for our test.
P-value =
round to four decimal places.
Thus, we shall Select an answer
Conclusion: Select an answer
v evidence to Select an answer v the claim that the data
Select an answer v](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb9849c3b-f0ff-47eb-829a-2c91d3fc6b02%2F58f262a0-f785-493e-87d7-00492602bfd3%2Fh2kcfqf_processed.png&w=3840&q=75)
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