Question

@ 0 Time and Bacteria Count 0 Hours 8 Ours Number of hours, x 2 3 4 5 Number of bacteria, y 167 278 468 783 1314 1927 4910 6
Question Help The accompanying data show the number of bacteria present for a certain number of hours. Find the equation of t
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Answer #1
sr x y (x-xbar)^2 (y-ybar)^2 (x-xbar)*(y-ybar)
1 1 167 9 1536891.5 3719.142857
2 2 278 4 1273995.9 2257.428571
3 3 468 1 881184.51 938.7142857
4 4 783 0 389019.51 0
5 5 1314 1 8595.9388 -92.71428571
6 6 1927 4 270697.22 1040.571429
7 7 4910 9 12273011 10509.85714
sum 28 9847 28 16633395 18373
mean 4 1406.714286 SXX SYY Sxy
slope=sxy/sxx 656.1785714 34121.286
intercept=ybar-(slope*xbar) -1218 32903.286

Regression equation of line is

y^ = 656.1782*x - 1218

scatter plot and regression line is

option A) is correct

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