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Elementary Statistics: Exam 6: Lesson 12

Module by: Susan Dean, Dr. Barbara Illowsky

Summary: Practice final exam for use with Collaborative Statistics (col10522) by Barbara Illowsky and Susan Dean.

Questions 1 – 3 refer to the following:

New snowboarders (those who have snowboarded a year or less) often suffer from minor injuries. A random sample of seven new snowboarders produced the data on number of months snowboarding and number of minor injuries in the last month that they snowboarded.

Months Snowboarding # of injuries in the last month
2 9
4 6
8 3
12 2
1 9
5 6
9 2

Exercise 1

Is the correlation between the number of months snowboarding and the number of injuries in the last month snowboarding significant?

  • A. Yes
  • B. No
  • C. Not enough information to answer question

Solution 1

A

Exercise 2

The linear regression equation is:

  • A. yhat = 9.5904 – 0.9614 xx
  • B. yhat = -0.7349 + 9.5904xx
  • C. yhat = 9.5904 + 0.7349xx
  • D. yhat = 9.5904 – 0.7349xx

Solution 2

D

Exercise 3

If a new snowboarder has snowboarded for five (5) months, how many injuries would s/he have in the last month snowboarding?

  • A. 4.8
  • B. 47.2
  • C. 5.9
  • D. 13.3

Solution 3

C

Exercise 4

If you calculate the line of best fit and the independent variable and the dependent variable have negative correlation, then the line of best fit has slope zero (0).

  • A. True
  • B. False
  • C. There is not enough information

Solution 4

A

Questions 5 – 6 refer to the following:

The cost of a leading gourmet ice cream in different sizes is given in the table.

Size (ounces) Cost
16 $4.29
32 $7.36
64 $12.80
96 $17.28

Exercise 5

Are there any outliers?

  • A. Yes
  • B. No
  • C. Not enough information

Solution 5

B

Exercise 6

If your friend used the line of best fit to predict the cost for a 128-ounce size of gourmet ice cream, what would you tell him/her with what you have learned about linear regression?

  • A. That a line is not the best fit for the cost of the gourmet ice cream.
  • B. That the 128-ounce size of the gourmet ice cream is far too expensive.
  • C. That we should switch the independent and dependent variables.
  • D. That s/he should not use the line of best fit to make this prediction.

Solution 6

D

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