(The information presented in this exercise comes from the

Chapter 7, Problem 11E

(choose chapter or problem)

(The information presented in this exercise comes from the Westview Blueberry Farm and National Oceanic and Atmospheric Administration Reports [NOAA].) For the following paired data, \((x, y), x\) gives the Holland, Michigan, rainfall for June, and \(y\) gives the blueberry production in thousands of pounds from the Westview Blueberry Farm:

(4.11, 56.2)                 (5.49, 45.3)                 (5.35, 31.0)                 (6.53, 30.1)

(5.18, 40.0)                 (4.89, 38.5)                 (2.09, 50.0)                 (1.40, 45.8)        

(4.52, 45.9)                 (1.11, 32.4)                 (0.60, 18.2)                 (3.80, 56.1)

The data are from 1971 to 1989 for those years in which the last frost occurred May 10 or earlier.

(a) Find the correlation coefficient for these data.

(b) Find the least squares regression line.

(c) Make a scatter plot of the data with the least squares regression line on the plot.

(d) Calculate and plot the residuals. Does linear regression seem to be appropriate?

(e) Find the least squares quadratic regression curve.

(f) Calculate and plot the residuals. Does quadratic regression seem to be appropriate?

(g) Give a short interpretation of your results.

Equation Transcription:

Text Transcription:

(y,x), x  

y