Homework Help is Here – Start Your Trial Now!
Math
Statistics
The accompanying summary quantities for x = Particulate pollution (ug/m) and y = Luminance (0.01 cd/m2) were calculated from a representative sample of data that appeared in a article. Ex = 870 Ex? = 56,300 Ey? = 8,953 Ey = 349 Exy = 22,215 n = 15 (a) Test to see whether there is a positive correlation between particulate pollution and luminance in the population from which the data were selected. (Use a = 0.05.) Calculate the test statistic. (Round your answer to two decimal places.) What is the P-value? (Use technology to calculate the P-value. Round your answer to three decimal places.) P-value = What can you conclude? O Fail to reject Ho: We have convincing evidence of a positive correlation between particulate pollution and luminance for the population from which the sample was selected. O Reject Ho. We have convincing evidence of a positive correlation between particulate pollution and luminance for the population from which the sample was selected. O Reject H. We do not have convincing evidence of a positive correlation between particulate pollution and luminance for the population from which the sample was selected. O Fail to reject H. We do not have convincing evidence of a positive correlation between particulate pollution and luminance for the population from which the sample was selected. (b) What proportion of observed variation in luminance can be attributed to the approximate linear relationship between luminance and particulate pollution? (Round your answer to three decimal places.)

The accompanying summary quantities for x = Particulate pollution (ug/m) and y = Luminance (0.01 cd/m2) were calculated from a representative sample of data that appeared in a article. Ex = 870 Ex? = 56,300 Ey? = 8,953 Ey = 349 Exy = 22,215 n = 15 (a) Test to see whether there is a positive correlation between particulate pollution and luminance in the population from which the data were selected. (Use a = 0.05.) Calculate the test statistic. (Round your answer to two decimal places.) What is the P-value? (Use technology to calculate the P-value. Round your answer to three decimal places.) P-value = What can you conclude? O Fail to reject Ho: We have convincing evidence of a positive correlation between particulate pollution and luminance for the population from which the sample was selected. O Reject Ho. We have convincing evidence of a positive correlation between particulate pollution and luminance for the population from which the sample was selected. O Reject H. We do not have convincing evidence of a positive correlation between particulate pollution and luminance for the population from which the sample was selected. O Fail to reject H. We do not have convincing evidence of a positive correlation between particulate pollution and luminance for the population from which the sample was selected. (b) What proportion of observed variation in luminance can be attributed to the approximate linear relationship between luminance and particulate pollution? (Round your answer to three decimal places.)

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
icon
Concept explainers
Question
The accompanying summary quantities for x = Particulate pollution (pg/m³) and y = Luminance (0.01 cd/m2) were calculated from a representative sample of data that appeared in a article. n = 15 Ex = 870 Ey = 349 Ex? = 56,300 Ey? = 8,953 Exy = 22,215 (a) Test to see whether there is a positive correlation between particulate pollution and luminance in the population from which the data were selected. (Use a = 0.05.) Calculate the test statistic. (Round your answer to two decimal places.) t = What is the P-value? (Use technology to calculate the P-value. Round your answer to three decimal places.) P-value = What can you conclude? O Fail to reject H. We have convincing evidence of a positive correlation between particulate pollution and luminance for the population from which the sample was selected. Reject Ho. We have convincing evidence of a positive correlation between particulate pollution and luminance for the population from which the sample was selected. O Reject H.. We do not have convincing evidence of a positive correlation between particulate pollution and luminance for the population from which the sample was selected. O Fail to reject H. We do not have convincing evidence of a positive correlation between particulate pollution and luminance for the population from which the sample was selected. (b) What proportion of observed variation in luminance can be attributed to the approximate linear relationship between luminance and particulate pollution? (Round your answer to three decimal places.)
Transcribed Image Text:The accompanying summary quantities for x = Particulate pollution (pg/m³) and y = Luminance (0.01 cd/m2) were calculated from a representative sample of data that appeared in a article. n = 15 Ex = 870 Ey = 349 Ex? = 56,300 Ey? = 8,953 Exy = 22,215 (a) Test to see whether there is a positive correlation between particulate pollution and luminance in the population from which the data were selected. (Use a = 0.05.) Calculate the test statistic. (Round your answer to two decimal places.) t = What is the P-value? (Use technology to calculate the P-value. Round your answer to three decimal places.) P-value = What can you conclude? O Fail to reject H. We have convincing evidence of a positive correlation between particulate pollution and luminance for the population from which the sample was selected. Reject Ho. We have convincing evidence of a positive correlation between particulate pollution and luminance for the population from which the sample was selected. O Reject H.. We do not have convincing evidence of a positive correlation between particulate pollution and luminance for the population from which the sample was selected. O Fail to reject H. We do not have convincing evidence of a positive correlation between particulate pollution and luminance for the population from which the sample was selected. (b) What proportion of observed variation in luminance can be attributed to the approximate linear relationship between luminance and particulate pollution? (Round your answer to three decimal places.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Correlation, Regression, and Association
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS