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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
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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.)
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