Suppose the data below are the result of a study of a medication used to fight a certain bacteria. The x column represents the number of hours after the medication was introduced to the bacteria and the y column represents the number of bacteria present. Use the data in the table below to answer each question.
- What does the scatterplot of the data show?
AA strong positive linear relationship
BA strong negative linear relationship
CA curve that represents exponential growth
DA curve that represents exponential decay
- Complete an exponential transformation on the y-values. What is the new value of y when x = 5?
A1.301
B0.699
C1.4472
D1.1761
- Find the linear transformation model.
ALog y^ (y-hat) = -12.1667x + 84.8333
BLog y^ (y-hat) = 84.8333x – 12.167
CLog y^ (y-hat) = -0.1375x + 1.9978
DLog y^ (y-hat) = 1.9978x – 0.1375
- Predict the number of bacteria present for 12 hours.
A0.35
B2.23
C-61
D0
AA strong positive linear relationship
BA strong negative linear relationship
CA curve that represents exponential growth
DA curve that represents exponential decay
A1.301
B0.699
C1.4472
D1.1761
ALog y^ (y-hat) = -12.1667x + 84.8333
BLog y^ (y-hat) = 84.8333x – 12.167
CLog y^ (y-hat) = -0.1375x + 1.9978
DLog y^ (y-hat) = 1.9978x – 0.1375
A0.35
B2.23
C-61
D0