Ex 4: The rate that soil can absorb water during a rain storm decreases over time as the rain continues. The table below gives the rate y, in inches per hour that water can be absorbed as a function of the number of hours that rain has been falling, x. Find the linear correlation coefficient for this data Produce a rough sketch of the residual plot for set. Why is it negative? Does this indicate a this data set based on (a). Does the residual plot strong negative correlation or a weak negative indicate that a linear model is appropriate? correlation? Explain. Explain. Find the exponential regression equation for this Produce a rough sketch of the residual plot for data set. Round both constants to the nearest this data set based on (c). Does this plot indicate hundredth. a more appropriate model? Name___________________________________________ Date______________________ HW 12.6: Another Look at Linear & Exponential Models Algebra I 1. For each of the following modeling scenarios, determine the equation.
Ex 4: The rate that soil can absorb water during a rain storm decreases over time as the rain continues. The table below gives the rate y, in inches per hour that water can be absorbed as a function of the number of hours that rain has been falling, x. Find the linear correlation coefficient for this data set. Why is it negative? Does this indicate a strong negative correlation or a weak negative correlation? Explain. Produce a rough sketch of the residual plot for this data set based on (a). Does the residual plot indicate that a linear model is appropriate? Explain. Find the exponential regression equation for this data set. Round both constants to the nearest hundredth. Produce a rough sketch of the residual plot for this data set based on (c). Does this plot indicate a more appropriate model? Name___________________________________________ Date______________________ HW 12.6: Another Look at Linear & Exponential Models Algebra I 1. For each of the following modeling scenarios, determine the equation.