# Question: Suppose you suspect an exponential relationship between independent variable x

Suppose you suspect an exponential relationship between independent variable x and dependent variable y. (An exponential relationship has the general form y = mqx, where m and q are constants.) You want to use simple linear regression to estimate that relationship. You have the following data and the accompanying scatter diagram to work with.

Make the appropriate transformation to linearize the data and show the scatter diagram. Then

a. Find the least squares line that best describes the transformed data.

b. Report the appropriate m and q values for the associated exponential function

c. Use the exponential function that youâ€™ve identified to compute the expected value of y for x = 1.5. For x = 5.

Make the appropriate transformation to linearize the data and show the scatter diagram. Then

a. Find the least squares line that best describes the transformed data.

b. Report the appropriate m and q values for the associated exponential function

c. Use the exponential function that youâ€™ve identified to compute the expected value of y for x = 1.5. For x = 5.

**View Solution:**## Answer to relevant Questions

For most services, longer customer waiting times mean lower customer satisfaction. Suppose you have the following data to use for a simple linear regression analysis intended to link length of waiting time before speaking to ...The output below is from a medical study that used multiple linear regression analysis to link monthly changes in weight (y = weight change in ounces) to daily exercise (x1 = minutes of strenuous daily exercise) and daily ...Below is a table showing some of the results from the analysis described in Exercise 13, where we were attempting to link y, the time that a house listed for sale remains on the market, to the size of the house (x1), the ...Bigelow Roofing is developing a model to help its estimators bid on new roofing jobs. Below is output from a regression analysis attempting to link the dependent variable y (labor cost) to independent variables x1 (area of ...Shown here is a sample of the times required to complete a full safety and structural inspection of a Boeing 747 aircraft. The table gives the number of inspection team members (x) and the time, in hours, (y) it took for the ...Post your question