A scientist is studying the relationship between x =inches of annual rainfall and y = inches of shorelineerosion. One study reported the following data. Use the followinginformation to solve the problem by hand, then use SPSS output toverify your answers. .

X        30       25       90       60       50       35      75       110     45        80

Y        0.3      0.2      5.0      3.0      2.0      0.5      4.0      6.0      1.5       4.0

a. What is the equation of the estimated regression line?

= ______________

b. Plot the data and graph the line. Does the line appear toprovide a good fit to the data points?

c. Use the least-squares line to predict the value of y when x=39

d. Fill in the missing entries in the SPSS analysis of variancetable

Source            DF                  SS                   MS                 F                     P

Regression      1                     37.938

Error               ____               _____             0.058              ____________

e) Is the simple linear regression model useful for predictingerosion from a given amount of rainfall?

f) What is the p-value?

g) A linear relationship ______________ exist between x andy.

h) The simple linear regression model ______________ useful forpredicting erosion from a given amount of rainfall.

i) What is the coefficient of determination.(r-squared) orr?

j) Interpret the coefficient (r-squared) of determination.