AP Statistics: Unit – 9 – Inference for Quantitative Data (Slopes) Practice Test
AP Statistics: Unit – 9 – Inference for Quantitative Data (Slopes) Practice Test
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Question 1 of 19
1. Question
In regression analysis, the yvariable should be the ______________ variable, and the xvariable should be the ______________ variable.
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Question 2 of 19
2. Question
You estimate a regression model with β = 3.4 and SE = .024, where β is the beta coefficient and SE is the standard error. Construct 95% confidence intervals for β.
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Question 3 of 19
3. Question
Based on this confidence interval, what can you do with a hypothesis test at 5% significance level where H 0 : β 1 = 0 and H a : β 1 ≠ 0?
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Question 4 of 19
4. Question
A statistician conducts a regression analysis and obtains a pvalue of 0.1. It is more likely than not that there is a relationship between the variables in the study.
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Question 5 of 19
5. Question
Suppose you conduct a paired ztest to assess whether two group means significantly differ and find a zscore of 1.645. At what alpha level would this cause you to reject the null?
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Question 6 of 19
6. Question
A statistician conducts a regression analysis and obtains a pvalue of 0.1. It is more likely than not that there is a relationship between the variables in the study.
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Question 7 of 19
7. Question
For a data set, the leastsquares regression line has a 95% confidence interval for the slope of (1.210, 1.318). Based on this confidence interval, what can you do with a hypothesis test at 5% significance level where H 0 : β 1 = 0 and H a : β 1 ≠ 0?
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Question 8 of 19
8. Question
Which of the following is an incorrect condition requirement for regression inference?
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Question 9 of 19
9. Question
Suppose you conduct a paired ztest to assess whether two group means significantly differ and find a zscore of 1.645. At what alpha level would this cause you to reject the null?
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Question 10 of 19
10. Question
Bob wants to statistically determine if the mean height of middle school boys is greater than the mean height of middle school girls. He wants to use a significance level of 0.05 What must be true for him to reject H o : μ boys = μ girls . σ is known.
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Question 11 of 19
11. Question
Which one of the following provides evidence that a condition for regression inference has been met?
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Question 12 of 19
12. Question
Is there a relationship between reaction time and age? A statistics student measures the reaction time of 12 subjects by measuring how far a yardstick drops, in inches, before a subject catches it between his or her thumb and forefinger (a high number thus indicates a slow reaction time). The student plans to use linear regression to see if reaction time can be predicted by the age of the subject. Which one of the following is a correct set of hypotheses for testing the significance of this relationship?
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Question 13 of 19
13. Question
Sarah runs an ice cream stand at a beach resort, and she is interested in predicting each day’s ice cream sales (in dollars) from the air temperature at 8:00 am (in degrees Fahrenheit). She randomly selects 12 days during the previous summer and calculates a least squares regression of sales on air temperature. A computer output of her regression is given below. Which one of the following is a correct interpretation of the number 1.646?
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Question 14 of 19
14. Question
Is there a relationship between reaction time and age? A statistics student measures the reaction time of 12 subjects by measuring how far a yardstick drops, in inches, before a subject catches it between his or her thumb and forefinger (a high number thus indicates a slow reaction time). The student plansto use linear regression to see if reaction time can be predicted by the age of the subject. Output from a computer regression analysis is given below.
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Question 15 of 19
15. Question
mos collected data about population density (in thousand people per square n kilometer) and average rent for 1bedroom apartments in a random sample of 25 cities. Here is computer output from a leastsquares regression analysis on his sample: Assume that all conditions for inference have been met. Which of these is a 90%, percent confidence interval for the slope of the least squares regression line?
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Question 16 of 19
16. Question
Cars lose value the farther they are driven. Heidi collected data about the mileage (in thousands of kilometers) and value (in thousands of dollars) of a randomsample of 11 cars of the same make and model. Here is computer output from a leastsquares regression analysis on her sample:
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Question 17 of 19
17. Question
Zoie took a random sample of 26 counties in her state and collected data regarding each county’s population and waste (in tons). Here is computer output on the sample data:Assume that all conditions for inference have been met. Which of these is an appropriate test statistic for testing the null hypothesis that the population slope in this setting is 0?
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Question 18 of 19
18. Question
Leona collected data on the battery life (in hours) and price (in dollars) of a random sample of mobile phones. Here is computer output from a leastsquares regression analysis on her sample: Assume that all conditions for inference have been met. Which of these is an appropriate test statistic for testing the null hypothesis that the population slope in this setting is 0?
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Question 19 of 19
19. Question
Hashem obtained a random sample of students and noticed a positive linear relationship between their ages and their backpack weights. A 95%, percent confidence interval for the slope of the regression line was 0.39 ± 0.23. Hashem wants to use this interval to test H 0 : β = 0, H a : β ≠ 0 at the α = 0.05 level of significance. Assume that all conditions for inference have been met. Which of these is the most appropriate conclusion for this population of students?
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