Average Water Temp Manatee Deaths 72.0 35 71.9 38 71.7 42 71.7 49 71.6 53 71.5 54 71.4 60 71.0 67 71.2 68 71.2 69 71.1 73 71.0 73 70.9 73 70.9 78 70.8 79 70.7 81 70.6 81 70.6 82 70.5 83 70.5 88 70.4 90 69.9 92 69.8 95 69.5 97 A researcher is interested to see if there is an association between average water temperature and manatee deaths in sub-tropical regions, and decides to test for linear correlation at the 0.01 significance level. The researcher takes a random sample of subtropical regions and measures their number of manatee deaths and average water temperature. The table above gives the paired data for 24 randomly selected subtropical regions. Do a scatterplot of average water temperature and manatee deaths for this random sample of sub-tropical regions and report your impression of whether or not there seems to be linear correlation between them (if so indicate whether it seems to be positive or negative correlation. Go to 2nd STAT PLOT then to ZOOM >9: ZOOMStat What is the linear correlation coefficient r = What is the P-Value = What is your conclusion about whether or not there is linear correlation between average water temperature and manatee deaths in subtropical regions at the 0.01 significance level? If in part d above you conclude there is linear correlation between average water temperature and manatee deaths in subtropical regions then give the regression line equation y = a + bx used to get an estimate for the number of manatee deaths, y, for an subtropical region that has an average water temperature, x, where a is the y intercept of the regression line and b is the slope. Use the regression equation to estimate the number of manatee deaths y, for a subtropical region with an average water temperature of 70.

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Average Water Temp Manatee Deaths

A researcher is interested to see if there is an association between average water temperature and manatee deaths in sub-tropical regions, and decides to test for linear correlation at the 0.01 significance level. The researcher takes a random sample of subtropical regions and measures their number of manatee deaths and average water temperature. The table above gives the paired data for 24 randomly selected subtropical regions.

Do a scatterplot of average water temperature and manatee deaths for this random sample of sub-tropical regions and report your impression of whether or not there seems to be linear correlation between them (if so indicate whether it seems to be

positive or negative correlation. Go to 2nd STAT PLOT then to ZOOM >9: ZOOMStat

What is your conclusion about whether or not there is linear correlation between average water temperature and manatee deaths in subtropical regions at the 0.01 significance level?

If in part d above you conclude there is linear correlation between average water temperature and manatee deaths in subtropical regions then give the regression line equation y = a + bx used to get an estimate for the number of manatee deaths, y, for an subtropical region that has an average water temperature, x, where a is the y intercept of the regression line and b is the slope.