## homework help

1.The following data concerning income and educational attainment for several counties in Alabama were taken from the U.S. Census Website.

County % High School Grads Per Capita Income

Clanton 78.7 18,518

Shelby 66.2 15,303

Alexander City 65.7 14,875

Baldwin 70.3 13,638

Mobile 77.6 17,650

Chilton 80.9 20,892

Hoover 81.4 17,158

Dothan 64.3 12,457

Chilton 70.0 13,714

Macon 80.3 19,358

Pike 69.1 14,904

Lee 86.8 27,176

Sum 891.3 205,643

Sum of Squares 66,818.87 3,705,400,931

?xy = 15,567,083.8

Find the least squares regression equation for predicting per capita income using the percentage of high school graduates.

a. y = 4,634.9 + 358.472x

b. y = -18,096.5 + 474.365x

c. y = 46.587 + 0.001616x

d. y = -9,577.8 + 518.662x

e. y = 12,781.2 + 753.291x

2.Find the sample correlation coefficient between per capita income and percentage of high school graduates.

a.
-0.8049

b.
0.8755

c.
0.5922

d.
0.7664

e.
-0.9116

3.Find the value of the t statistic for testing H0: ?1 = 0 vs. HA: ?1 ? 0.

a.
5.728

b.
-2.929

c.
9.400

d.
-4.188

e.
32.866

4.Which of the following correctly describes the p-value for the test statistic in #3?
a.
p-value < .01

b.
.01 < p-value < .05

c.
.05 < p-value < .10

d.
.10 < p-value < .20

e.
p-value > .20

5.Considering #3-4 above, do the data provide significant evidence at the .05 level of a linear relationship between per capita income and the percentage of high school graduates?

a.
yes

b.
no

c.
maybe

d.
cannot be determined

e.
six

6 .What is the expected change in per capita income associated with a 1% increase in the proportion of high school graduates?

a.