Math Problem Statement
Pictured above are the critical values for the correlation coefficient. Use the given data set to compete parts (a) through (c) below. Use a significance level of 0.05. The data for x values in respective order is : 10, 8, 13, 9, 11, 14, 6, 4, 12, 7, 5. The data for y values in respective order is : 9.14, 8.14, 8.74, 8.77, 9.27, 8.11, 6.14, 3.09, 9.13, 7.26, 4.74. A) construct a scatter plot and make the correct graph to match the data. B) find the linear correlation coefficient, r, then determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables, round to three decimal places as needed. Use the linear correlation coefficient found in the previous step to determine whether there is sufficient evidence to support the claim of a linear correlation between the two variables. C) identify the feature of the data that would be missed if part ( B) was completed without constructing the scatter plot.
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Statistics
Correlation
Linear Regression
Formulas
Pearson correlation coefficient: r = \frac{n(\sum xy) - (\sum x)(\sum y)}{\sqrt{[n \sum x^2 - (\sum x)^2][n \sum y^2 - (\sum y)^2]}}
Theorems
Pearson's correlation test
Critical value table lookup
Suitable Grade Level
Undergraduate/Advanced High School
Related Recommendation
Scatter Plot and Pearson's Correlation for Two Variables with Critical Value Comparison
Determining Correlation Coefficient from a Scatter Plot
Linear Correlation Coefficient and Scatter Plot Analysis with Critical Values
Correlation Coefficient with and without Outlier in Bivariate Data
How to Identify Variables with the Highest Correlation Coefficient