Does the random paired data below show a linear correlation? x y 5 22.44 6 22.45 7 16.06 8 11.47 9 17.08 10 16.69When in doubt, assume the original claim is "There is linear correlation." Original claim: ? s μ X n r σ p̂ X̄ ρ N Select an answer > < ≠ ≥ ≤ = H0:H0: ? n X s r ρ X̄ σ μ p̂ N Select an answer < > ≥ ≤ = ≠ Ha:Ha: ? p̂ p N σ X̄ n ρ μ s X r Select an answer = < ≥ > ≠ ≤ We will use significance level .05. What method can verify our claim? Select an answer 1 Proportion z interval t-interval Linear regression t-Test z-test 1 Proportion z test Linear regression t-interval t-test To check the requirements, graph Scatter plot Normal quantile plot Dotplot Histogram Box plot and ensure there are at least 30 points all outliers are removed that are due to errors points are loosly grouped around a bell shaped curve points are loosly grouped around a line without an obvious curve there are at least 5 successes and 5 failures all outliers are removed 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 Support the null hypothesis Fail to reject the null hypothesis Reject the null hypothesis . Conclusion: Select an answer There is not enough There is enough evidence to Select an answer reject support the claim that the data Select an answer is correlated is not correlated .
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
x | y |
---|---|
5 | 22.44 |
6 | 22.45 |
7 | 16.06 |
8 | 11.47 |
9 | 17.08 |
10 | 16.69 |
Original claim: ? s μ X n r σ p̂ X̄ ρ N Select an answer > < ≠ ≥ ≤ =
H0:H0: ? n X s r ρ X̄ σ μ p̂ N Select an answer < > ≥ ≤ = ≠
Ha:Ha: ? p̂ p N σ X̄ n ρ μ s X r Select an answer = < ≥ > ≠ ≤
We will use significance level .05.What method can verify our claim? Select an answer 1 Proportion z interval t-interval Linear regression t-Test z-test 1 Proportion z test Linear regression t-interval t-test To check the requirements, graph
Scatter plot - Normal quantile plot
- Dotplot
- Histogram
- Box plot
- there are at least 30 points
- all outliers are removed that are due to errors
- points are loosly grouped around a bell shaped curve
- points are loosly grouped around a line without an obvious curve
- there are at least 5 successes and 5 failures
- all outliers are removed
P-value = round to four decimal places.
Thus, we shall Select an answer Support the null hypothesis Fail to reject the null hypothesis Reject the null hypothesis .
Conclusion: Select an answer There is not enough There is enough evidence to Select an answer reject support the claim that the data Select an answer is correlated is not correlated .
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