# MATHEMATICS Chapter 10 Practice Problems

Suppose you will perform a test to determine whether there is sufficient evidence to support a claim of a linear correlation between two variables. Find the critical values of r given the number of pairs of data n and the significance level α.

1) n = 14, α = 0.05

A) r = 0.553 B) r = ± 0.661 C) r = 0.532 D) r = ± 0.532

2) n = 45, α = 0.01

A) r = ± 0.294 B) r = ± 0.378 C) r = 0.402 D) r = 0.378

Given the linear correlation coefficient r and the sample size n, determine the critical values of r and use your finding to state whether or not the given r represents a significant linear correlation. Use a significance level of 0.05.

3) r = 0.523, n = 25

A) Critical values: r = ±0.487, significant linear correlation

B) Critical values: r = ±0.487, no significant linear correlation

C) Critical values: r = ±0.396, significant linear correlation

D) Critical values: r = ±0.396, no significant linear correlation

4) r = 0.843, n = 5

A) Critical values: r = ±0.878, significant linear correlation

B) Critical values: r = 0.950, significant linear correlation

C) Critical values: r = ±0.878, no significant linear correlation

D) Critical values: r = ±0.950, no significant linear correlation

Construct a scatterplot for the given data.

5)

Determine which scatterplot shows the strongest linear correlation.

6) Which shows the strongest linear correlation?

A) B) C)

Find the value of the linear correlation coefficient r.

7) The paired data below consist of the test scores of 6 randomly selected students and the number of hours they studied for the test.

Use the given data to find the best predicted value of the response variable.

8) Based on the data from six students, the regression equation relating number of hours of preparation (x) and test score (y) is . The same data yield  and  What is the best predicted test score for a student who spent 2 hours preparing for the test?

9) The regression equation relating attitude rating (x) and job performance rating (y) for the employees of a company is  Ten pairs of data were used to obtain the equation. The same data yield  and  What is the best predicted job performance rating for a person whose attitude rating is 73?

Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary.

10)

11)

Is the data point, P, an outlier, an influential point, both, or neither?

12)

13)

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The content of the provided text is structured around a series of practice problems for a mathematics chapter on linear correlation. Each problem is numbered and includes a specific question or task, followed by multiple-choice answers.
multiple_questions_with_answers
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# MATHEMATICS Chapter 10 Practice Problems

Suppose you will perform a test to determine whether there is sufficient evidence to support a claim of a linear correlation between two variables. Find the critical values of r given the number of pairs of data n and the significance level α.

1) n = 14, α = 0.05

A) r = 0.553 B) r = ± 0.661 C) r = 0.532 D) r = ± 0.532

2) n = 45, α = 0.01

A) r = ± 0.294 B) r = ± 0.378 C) r = 0.402 D) r = 0.378

Given the linear correlation coefficient r and the sample size n, determine the critical values of r and use your finding to state whether or not the given r represents a significant linear correlation. Use a significance level of 0.05.

3) r = 0.523, n = 25

A) Critical values: r = ±0.487, significant linear correlation

B) Critical values: r = ±0.487, no significant linear correlation

C) Critical values: r = ±0.396, significant linear correlation

D) Critical values: r = ±0.396, no significant linear correlation

4) r = 0.843, n = 5

A) Critical values: r = ±0.878, significant linear correlation

B) Critical values: r = 0.950, significant linear correlation

C) Critical values: r = ±0.878, no significant linear correlation

D) Critical values: r = ±0.950, no significant linear correlation

Construct a scatterplot for the given data.

5)

Determine which scatterplot shows the strongest linear correlation.

6) Which shows the strongest linear correlation?

A) B) C)

Find the value of the linear correlation coefficient r.

7) The paired data below consist of the test scores of 6 randomly selected students and the number of hours they studied for the test.

Use the given data to find the best predicted value of the response variable.

8) Based on the data from six students, the regression equation relating number of hours of preparation (x) and test score (y) is . The same data yield  and  What is the best predicted test score for a student who spent 2 hours preparing for the test?

9) The regression equation relating attitude rating (x) and job performance rating (y) for the employees of a company is  Ten pairs of data were used to obtain the equation. The same data yield  and  What is the best predicted job performance rating for a person whose attitude rating is 73?

Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary.

10)

11)

Is the data point, P, an outlier, an influential point, both, or neither?

12)

13)

Pages (550 words)
Approximate price: -

Why Work with Us

Top Quality and Well-Researched Papers

Our writers are encouraged to read and research widely to have rich information before writing clients’ papers. Therefore, be it high school or PhD level paper, it will always be a well-researched work handled by experts.

For one to become part of our team, thorough interview and vetting is undertaken to make sure their academic level and experience are beyond reproach, hence enabling us give our clients top quality work.

Free Unlimited Revisions

Once you have received your paper and feel that some issues have been missed, just request for revision and it will be done. In addition, you can present your work to the tutor and he/she asks for improvement/changes, we are always ready to assist.

Prompt Delivery and 100% Money-Back-Guarantee

All our papers are sent to the clients before the deadline to allow them time to review the work before presenting to the tutor. If for some reason we feel our writers cannot meet the deadline, we will contact you to ask for more time. If this is not possible, then the paid amount will be refunded.

Original & Confidential

Our writers have been trained to ensure work produced is free of plagiarism. Software to check originality are also applied. Our clients’ information is highly guarded from third parties to ensure confidentiality is maintained.

Our support team is available 24 hours, 7 days a week. You can reach the team via live chat, email or phone call. You can always get in touch whenever you need any assistance.

Try it now!

## Calculate the price of your order

Total price:
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The content of the provided text is structured around a series of practice problems for a mathematics chapter on linear correlation. Each problem is numbered and includes a specific question or task, followed by multiple-choice answers.

TYPE: MULTIPLE_QUESTIONS_WITH_ANSWERS