Researchers are studying pomegranate’s antioxidant properties to see if it might have any beneficial effects in the treatment of cancer. One such study investigated whether pomegranate fruit extract (PFE) was effective in slowing the growth of prostate cancer tumors. In this study, 24 mice were injected with cancer cells, then the mice were randomly assigned to one of three treatment groups. The data on y = average tumor volume (in mm3) and x = number of days after injection of cancer cells for the mice that received plain drinking water is shown in picture below: a. Find (to three decimal places) zy, and zxzy for the pair (23,580): zy = zxzy = b. Compute Pearson’s sample correlation coefficient for the given data to four decimal places. c. Compute the slope, b, for the least-squares regression line to two decimal places d. Use b to calculate a and write the equation for the least-squares regression line a= y= e. Predict the average tumor volume (y) for a mouse 20 days after the injection of the cancer cells
Researchers are studying pomegranate’s antioxidant properties to see if it might have any beneficial effects in the treatment of cancer. One such study investigated whether pomegranate fruit extract (PFE) was effective in slowing the growth of prostate cancer tumors. In this study, 24 mice were injected with cancer cells, then the mice were randomly assigned to one of three treatment groups. The data on y = average tumor volume (in mm3) and x = number of days after injection of cancer cells for the mice that received plain drinking water is shown in picture below:
a. Find (to three decimal places) zy, and zxzy for the pair (23,580):
zy =
zxzy =
b. Compute Pearson’s sample
c. Compute the slope, b, for the least-squares regression line to two decimal places
d. Use b to calculate a and write the equation for the least-squares regression line
a=
y=
e. Predict the average tumor volume (y) for a mouse 20 days after the injection of the cancer cells
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