An outbreak of the deadly Ebola virus in 2002 and 2003 killed 91 of the 95 gorillas in 7 home ranges in the Congo. To study the spread of the virus, measure ' distance' by the number of home ranges separating a group of gorillas from the first group infected. Here are data on distance and number of days until deaths began in each later group: Distance x 12 67 4 7 317 32 39 45 50 Days y We know that Ex = 27, Ey = 186, Exy = 1032, Ex² = 155 and Ey = 7368 for this sample. (a) Find the equation of the least squares regression line. ŷ = (b) Find the linear correlation coefficient r between x and y, correct to four decimal places.

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An outbreak of the deadly Ebola virus in 2002 and 2003 killed 91 of the 95 gorillas in 7 home ranges in the Congo. To study the spread of the virus, measure ' distance' by the number of home ranges separating a group of gorillas from the first group infected. Here are data on
distance and number of days until deaths began in each later group:
Distance x 12 6747
317 32 39 45 50
Days y
We know that Ex = 27, Ey = 186, Exy = 1032, Ex? = 155 and Ey = 7368 for this sample.
(a) Find the equation of the least squares regression line.
(b) Find the linear correlation coefficient r between x and y, correct to four decimal places.
Transcribed Image Text:An outbreak of the deadly Ebola virus in 2002 and 2003 killed 91 of the 95 gorillas in 7 home ranges in the Congo. To study the spread of the virus, measure ' distance' by the number of home ranges separating a group of gorillas from the first group infected. Here are data on distance and number of days until deaths began in each later group: Distance x 12 6747 317 32 39 45 50 Days y We know that Ex = 27, Ey = 186, Exy = 1032, Ex? = 155 and Ey = 7368 for this sample. (a) Find the equation of the least squares regression line. (b) Find the linear correlation coefficient r between x and y, correct to four decimal places.
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