AP Stat Final Flashcards 16-30

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Questions and Answers

How many crimes a month are predicted when there are 7 streetlights on a block? (Select one)

1.7

1.0 (correct)

-11.6

16.6

3.8

Calculate the residual for a block with 10 streetlights and 1 crime a month. (Select one)

-0.6

0.4

-1.2

0.6 (correct)

-0.4

Using the regression equation above, correctly interpret the slope. (Select one)

For every additional streetlight per block, the crimes per month decrease by 0.2 (correct)

For every additional streetlight per block, the crimes per month go up by 2.4

Every additional streetlight per block is associated with 0.2 more crimes a month, on average

The effect of the crime rate on streetlights is given by the coefficient -0.2

For every additional crime per month, the number of streetlights goes down by 0.2 lights

Based on the meteorologist's estimates, approximately what is the probability that a future tropical storm will originate in the Pacific Ocean and be classified as major? (Select one)

0.170 Signup and view all the answers

What is the correlation found in the study relating AP Statistics exam scores to total study hours?

0.6 Signup and view all the answers

Which of the following represents the standard deviation of typical human body temperature in degrees Fahrenheit? (Select one)

9/5(0.4) Signup and view all the answers

Which of the following is a true statement about the correlation coefficient r? (Select one)

The square of the correlation measures the proportion of the y-variance that is predictable from a knowledge of x. Signup and view all the answers

An AP Statistics teacher grades using z-scores. What is the correct interpretation of a z-score of -1.3? (Select one)

The student scored 1.3 standard deviations lower on the second exam than the class average on the second exam Signup and view all the answers

What is the standard deviation of the probability distribution of adults living in homes on a randomly selected city block? (Select one)

0.89 Signup and view all the answers

Which of the following is a true statement regarding two independent random variables, X and Y? (Select one)

The variance of X-Y is 0.34 Signup and view all the answers

If one student has a test result with a z-score of -1.5, what is the corresponding score difference from the mean given a standard deviation of 8?

28 Signup and view all the answers

If Jane's z-score is 1.20, what was her score on the national achievement test with a mean score of 100 and a standard deviation of 15? (Select one)

118 Signup and view all the answers

What is an advantage of using surveys as opposed to experiments? (Select one)

Surveys are generally cheaper to conduct Signup and view all the answers

Study Notes

Crime Prediction and Residuals

Prediction of crimes based on 7 streetlights: 1.0 crimes per month
For a block with 10 streetlights and 1 crime per month, the residual is 0.6

Regression Analysis

Slope interpretation: every additional streetlight decreases crimes per month by 0.2
Regression findings indicate a correlation of 0.6 between study hours and exam scores, suggesting higher study hours are associated with higher exam scores.

Tropical Storm Classifications

Major tropical storms defined by sustained winds over 110 mph
Probability of a future storm originating in the Pacific Ocean and classified as major: 0.170

Body Temperature Standard Deviation

Standard deviation of human body temperature in Celsius converted to Fahrenheit: 9/5(0.4)

Correlation Coefficient Insights

The square of the correlation coefficient measures the proportion of y-variance predictable from x

Z-scores Interpretation

A z-score of -1.3 indicates the student scored 1.3 standard deviations lower than the class average on the second exam

Variance and Standard Deviation

For a probability distribution of adults living in homes, the standard deviation is 0.89
Variance of the difference between two independent variables, X and Y, is 0.34

Exam Scores and Z-scores

In an exam with a mean score of 75 and a standard deviation of 8, a z-score of -1.5 corresponds to a score of 28
For a national achievement test with a mean score of 100 and standard deviation of 15, Jane's score with a z-score of 1.20 is 118

Survey Advantages

Surveys are typically cheaper to conduct compared to experiments

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Description

Prepare for the AP Statistics final exam with these flashcards covering key concepts from problems 16 to 30. Each card presents a question related to crime predictions and regression analysis, essential for your understanding of statistics. Test your knowledge and improve your exam readiness with these crucial concepts!