Podcast
Questions and Answers
How many crimes a month are predicted when there are 7 streetlights on a block? (Select one)
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)
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)
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)
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)
What is the correlation found in the study relating AP Statistics exam scores to total study hours?
What is the correlation found in the study relating AP Statistics exam scores to total study hours?
Which of the following represents the standard deviation of typical human body temperature in degrees Fahrenheit? (Select one)
Which of the following represents the standard deviation of typical human body temperature in degrees Fahrenheit? (Select one)
Which of the following is a true statement about the correlation coefficient r? (Select one)
Which of the following is a true statement about the correlation coefficient r? (Select one)
An AP Statistics teacher grades using z-scores. What is the correct interpretation of a z-score of -1.3? (Select one)
An AP Statistics teacher grades using z-scores. What is the correct interpretation of a z-score of -1.3? (Select one)
What is the standard deviation of the probability distribution of adults living in homes on a randomly selected city block? (Select one)
What is the standard deviation of the probability distribution of adults living in homes on a randomly selected city block? (Select one)
Which of the following is a true statement regarding two independent random variables, X and Y? (Select one)
Which of the following is a true statement regarding two independent random variables, X and Y? (Select one)
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?
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?
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)
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)
What is an advantage of using surveys as opposed to experiments? (Select one)
What is an advantage of using surveys as opposed to experiments? (Select one)
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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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