[DATA] Putting It Together: Cigarette Smuggling Go to www.pearsonhighered.com/sullivanstats to obtain the data file 4_3_33. The data represent the 2015 tax rate per pack of cigarettes and the percent of cigarettes smuggled as a percentage of total consumption. A negative value of consumption represents a net outflow of cigarettes while a positive value represents an inflow of cigarettes. For example, in Alabama, 7.5% of all cigarettes purchased leave the state. In Arizona, 44.8% of all cigarettes consumed are smuggled into the state. Alaska, Hawaii, North Carolina, and the District of Columbia are not included in the analysis. Describe the data and write an article that discusses the impact that cigarette taxes may have on smuggling.
Table of contents
- 1. Intro to Stats and Collecting Data1h 14m
- 2. Describing Data with Tables and Graphs1h 55m
- 3. Describing Data Numerically2h 5m
- 4. Probability2h 16m
- 5. Binomial Distribution & Discrete Random Variables3h 6m
- 6. Normal Distribution and Continuous Random Variables2h 11m
- 7. Sampling Distributions & Confidence Intervals: Mean3h 23m
- Sampling Distribution of the Sample Mean and Central Limit Theorem19m
- Distribution of Sample Mean - Excel23m
- Introduction to Confidence Intervals15m
- Confidence Intervals for Population Mean1h 18m
- Determining the Minimum Sample Size Required12m
- Finding Probabilities and T Critical Values - Excel28m
- Confidence Intervals for Population Means - Excel25m
- 8. Sampling Distributions & Confidence Intervals: Proportion1h 25m
- 9. Hypothesis Testing for One Sample3h 29m
- 10. Hypothesis Testing for Two Samples4h 50m
- Two Proportions1h 13m
- Two Proportions Hypothesis Test - Excel28m
- Two Means - Unknown, Unequal Variance1h 3m
- Two Means - Unknown Variances Hypothesis Test - Excel12m
- Two Means - Unknown, Equal Variance15m
- Two Means - Unknown, Equal Variances Hypothesis Test - Excel9m
- Two Means - Known Variance12m
- Two Means - Sigma Known Hypothesis Test - Excel21m
- Two Means - Matched Pairs (Dependent Samples)42m
- Matched Pairs Hypothesis Test - Excel12m
- 11. Correlation1h 24m
- 12. Regression1h 50m
- 13. Chi-Square Tests & Goodness of Fit2h 21m
- 14. ANOVA1h 57m
12. Regression
Coefficient of Determination
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Join thousands of students who trust us to help them ace their exams!Watch the first videoMultiple Choice
A retail analyst is studying the relationship between the number of in-store promotional displays (x) and weekly sales revenue (y) at 12 store locations. Use the data below and a calculator to find the coefficient of determination.

A
0.0031
B
0.0016
C
0.9984
D
0.9969
Verified step by step guidance1
Step 1: Understand the coefficient of determination (R²). It measures the proportion of the variance in the dependent variable (y, weekly revenue) that is predictable from the independent variable (x, number of displays). R² is calculated using the formula:
Step 2: Calculate the mean of x (number of displays) and y (weekly revenue). Use the formula for the mean:
Step 3: Compute the total sum of squares (SS_total) for y. Use the formula:
Step 4: Fit a linear regression model to the data to find the predicted values of y (ŷ). Use the formula for the regression line: where is the slope and is the intercept.
Step 5: Calculate the residual sum of squares (SS_residual) using the formula: Finally, substitute SS_residual and SS_total into the formula for R² to compute the coefficient of determination.
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