Question

The data shown below indicate the average tuition (in dollars) over a six-year period for private and public colleges in a region. Complete parts a through c below. Use ? = 0.01 where needed. Year 1 2 3 4 5 6 Private 9,923 12,337 14,989 16,418 19,233 25,218 Public 2,014 2,390 3,194 3,606 4,687 5,661 a. Conduct a simple linear regression analysis of these data in which the average tuition for private colleges is predicted by the average public college tuition. Test the significance of the model using ? = 0.01. What is the estimated regression slope coefficient? b1 = [ ] (Round to two decimal places as needed.) What is the estimated regression intercept? b0 = [ ] (Round to the nearest whole number as needed.) To test the significance, first determine the hypotheses to test. Choose the correct answer below. A. Ho: ?1 ? 0 HA: ?1 > 0 B. Ho: ?1 = 0 HA: ?1 ? 0 C. Ho: ?1 ? 0 HA: ?1 < 0 D. Ho: ?1 < 0 HA: ?1 ? 0 E. Ho: ?1 > 0 HA: ?1 ? 0 F. Ho: ?1 ? 0 HA: ?1 = 0 Determine the rejection region for the test statistic t for ? = 0.01. Select the correct choice below and fill in any answer boxes to complete your choice. (Round to two decimal places as needed.) A. t < [ ] B. t > [ ] C. t < [ ] or t > [ ] Calculate the simple linear regression test statistic t. t = [ ] (Round to two decimal places as needed.) Since the test statistic [ ] in the rejection region, [ ] the null hypothesis. Conclude that the regression model [ ] significant. This means that knowing the average public college tuition [ ] useful help in predicting the average private college tuition.

          The data shown below indicate the average tuition (in dollars) over a six-year period for private and public colleges in a region. Complete parts a through c below. Use ? = 0.01 where needed.

Year      1      2      3      4      5      6
Private  9,923 12,337 14,989 16,418 19,233 25,218
Public   2,014  2,390  3,194  3,606  4,687  5,661

a. Conduct a simple linear regression analysis of these data in which the average tuition for private colleges is predicted by the average public college tuition. Test the significance of the model using ? = 0.01.

What is the estimated regression slope coefficient?

b1 = [ ] (Round to two decimal places as needed.)

What is the estimated regression intercept?

b0 = [ ] (Round to the nearest whole number as needed.)

To test the significance, first determine the hypotheses to test. Choose the correct answer below.

A. Ho: ?1 ? 0    HA: ?1 > 0
B. Ho: ?1 = 0    HA: ?1 ? 0
C. Ho: ?1 ? 0    HA: ?1 < 0
D. Ho: ?1 < 0    HA: ?1 ? 0
E. Ho: ?1 > 0    HA: ?1 ? 0
F. Ho: ?1 ? 0    HA: ?1 = 0

Determine the rejection region for the test statistic t for ? = 0.01. Select the correct choice below and fill in any answer boxes to complete your choice.

(Round to two decimal places as needed.)

A. t < [ ]
B. t > [ ]
C. t < [ ] or t > [ ]

Calculate the simple linear regression test statistic t.

t = [ ] (Round to two decimal places as needed.)

Since the test statistic [ ] in the rejection region, [ ] the null hypothesis. Conclude that the regression model [ ] significant. This means that knowing the average public college tuition [ ] useful help in predicting the average private college tuition.

The data shown below indicate the average tuition (in dollars) over a six-year period for private and public colleges in a region. Complete parts a through c below. Use ? = 0.01 where needed.

Year 1 2 3 4 5 6
Private 9,923 12,337 14,989 16,418 19,233 25,218
Public 2,014 2,390 3,194 3,606 4,687 5,661

a. Conduct a simple linear regression analysis of these data in which the average tuition for private colleges is predicted by the average public college tuition. Test the significance of the model using ? = 0.01.

What is the estimated regression slope coefficient?

b1 = [ ] (Round to two decimal places as needed.)

What is the estimated regression intercept?

b0 = [ ] (Round to the nearest whole number as needed.)

To test the significance, first determine the hypotheses to test. Choose the correct answer below.

A. Ho: ?1 ? 0 HA: ?1 > 0
B. Ho: ?1 = 0 HA: ?1 ? 0
C. Ho: ?1 ? 0 HA: ?1 < 0
D. Ho: ?1 < 0 HA: ?1 ? 0
E. Ho: ?1 > 0 HA: ?1 ? 0
F. Ho: ?1 ? 0 HA: ?1 = 0

Determine the rejection region for the test statistic t for ? = 0.01. Select the correct choice below and fill in any answer boxes to complete your choice.

(Round to two decimal places as needed.)

A. t < [ ]
B. t > [ ]
C. t < [ ] or t > [ ]

Calculate the simple linear regression test statistic t.

t = [ ] (Round to two decimal places as needed.)

Since the test statistic [ ] in the rejection region, [ ] the null hypothesis. Conclude that the regression model [ ] significant. This means that knowing the average public college tuition [ ] useful help in predicting the average private college tuition.

Added by Jordan B.

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