Practice Exam – Analytics (Part 3)
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Question 1 of 14
1. Question
Imagine that you’re building a model to predict a student’s exam score based on the number of hours that they studied. You want to add the location that they studied as a variable into the model, with 3 eligible values: dorm, library, coffee shop.
How many dummy variables need to be added into the regression to represent the student’s study location?
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Question 2 of 14
2. Question
Imagine that you’re building a model to predict a student’s exam score based on the number of hours that they studied. You want to add the location that they studied as a variable into the model, with 3 eligible values: dorm, library, coffee shop.
With “dorm” as the baseline for your study location dummy variables, you build the following multi-linear regression equation:
y-hat = 23.82 + 6.7(Hours Studied) + 9.83(Library) – 3.42(Coffee Shop)
Which answer choice(s) below correctly interpret the dummy variables in this regression equation?
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Question 3 of 14
3. Question
Your university wants to predict the “Sign-Ups” at a student organization receives at mega fair based on the social media “Posts” made by that organization throughout the semester. They randomly sample 30 student organizations, resulting in the following regression analysis.
Find the 95% confidence interval for the true slope of βPosts.
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We are % confident that the true population parameter is between and .
(When calculating test statistic, round to intermediary values to 3 decimal places. Round bounds to 3 decimal places.)
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Question 4 of 14
4. Question
Your university wants to predict the “Sign-Ups” at a student organization receives at mega fair based on the social media “Posts” made by that organization throughout the semester. They randomly sample 30 student organizations, resulting in the following regression analysis.
Is there a meaningful, linear relationship between “Sign-Ups” and “Posts”? Provide support for your claim using a hypothesis test with an alpha level of 0.05.
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Since our p-value of is (less / greater) than than our alpha level of , we (reject / fail to reject) the null hypothesis and (do / do not) have enough evidence to support the alternative hypothesis.
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Question 5 of 14
5. Question
Your university wants to predict the “Sign-Ups” at a student organization receives at mega fair based on the social media “Posts” made by that organization throughout the semester. They randomly sample 30 student organizations, resulting in the following regression analysis.
Is there a meaningful, linear relationship in this model? Provide support for your claim using a hypothesis test with an alpha level of 0.05.
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Since our p-value of is (less / greater) than than our alpha level of , we (reject / fail to reject) the null hypothesis and (do / do not) have enough evidence to support the alternative hypothesis.
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Question 6 of 14
6. Question
Complete the below time series table with a 3 point moving average. Round values to 2 decimal places if needed.
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Mon Tue Wed Thu Steps Walked 7800 12300 15900 13800 Estimated (y-tilde) – – Predicted (y-hat) – – –
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Question 7 of 14
7. Question
Given the below time series, with a 3 point moving average, predict the number of steps that’ll be walked on Friday.
Mon Tue Wed Thu Steps Walked 7800 12300 15900 13800 Estimated (y-tilde) – – ??? ??? Predicted (y-hat) – – – ??? CorrectIncorrect -
Question 8 of 14
8. Question
Complete the below time series table with exponential smoothing, given ⍺ = 0.8. Round values to 2 decimal places if needed.
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Mon Tue Wed Thu Steps Walked 7800 12300 15900 13800 Estimated (y-tilde) Predicted (y-hat) –
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Question 9 of 14
9. Question
Given the below time series, with ⍺ = 0.8, predict the number of steps that’ll be walked on Friday.
Mon Tue Wed Thu Steps Walked 7800 12300 15900 13800 Estimated (y-tilde) – ??? ??? ??? Predicted (y-hat) – – ??? ??? CorrectIncorrect -
Question 10 of 14
10. Question
Given the below time series, calculate MSE.
Fall ’23 Spring ’24 Fall ’24 Spring ’25 Fall ’25 Spring ’26 Campus Parties Thrown 45 50 52 55 60 70 Estimated (y-tilde) – – 49 52.3 55.7 61.7 Predicted (y-hat) – – – 49 52.3 55.7 CorrectIncorrect -
Question 11 of 14
11. Question
Given the below time series, calculate MAD.
Fall ’23 Spring ’24 Fall ’24 Spring ’25 Fall ’25 Spring ’26 Campus Parties Thrown 45 50 52 55 60 70 Estimated (y-tilde) – – 49 52.3 55.7 61.7 Predicted (y-hat) – – – 49 52.3 55.7 CorrectIncorrect -
Question 12 of 14
12. Question
Given the below time series, calculate MAPE.
Fall ’23 Spring ’24 Fall ’24 Spring ’25 Fall ’25 Spring ’26 Campus Parties Thrown 45 50 52 55 60 70 Estimated (y-tilde) – – 49 52.3 55.7 61.7 Predicted (y-hat) – – – 49 52.3 55.7 CorrectIncorrect -
Question 13 of 14
13. Question
Given the following regression output, use the additive vs. multiplicative model to write the regression equation.
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Question 14 of 14
14. Question
Given the following regression output, use the additive vs. multiplicative model to write the regression equation.
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