A health researcher studies the relationship between the average daily sleep duration in hours (yy) and the number of cups of coffee consumed per day (xx) among adults. The regression equation is: y^=−1.5x+9\hat{y}=−1.5x+9. What does the slope and the intercept represent?

The slope represents the decrease in sleep duration per cup of coffee consumed, and the yy-intercept represents the sleep duration when no coffee is consumed

The slope represents the increase in sleep duration per cup of coffee consumed, and the yy-intercept represents the sleep duration when 55 cups of coffee are consumed

The slope represents the increase in sleep duration per cup of coffee consumed, and the yy-intercept represents the sleep duration when no coffee is consumed

The slope represents the decrease in sleep duration per cup of coffee consumed, and the yy-intercept represents the sleep duration when 00 cups of coffee are consumed

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1. Intro to Stats and Collecting Data(0)

Intro to Stats
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Levels of Measurement
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Intro to Collecting Data
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Sampling Methods
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2. Describing Data with Tables and Graphs(0)

Visualizing Qualitative vs. Quantitative Data
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Frequency Distributions
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Histograms
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Bar Graphs and Pareto Charts
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Pie Charts
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Frequency Polygons
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Dot Plots
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Stemplots (Stem-and-Leaf Plots)
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Time-Series Graph
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3. Describing Data Numerically(0)

Mean
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Median
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Mode
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Standard Deviation
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Interpreting Standard Deviation
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Percentiles & Quartiles
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Boxplots
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4. Probability(0)

Basic Concepts of Probability
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Complements
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Addition Rule
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Multiplication Rule: Independent Events
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Introduction to Contingency Tables
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Multiplication Rule: Dependent Events
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Bayes' Theorem
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Fundamental Counting Principle
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Counting
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5. Binomial Distribution & Discrete Random Variables(0)

Discrete Random Variables
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Binomial Distribution
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Poisson Distribution
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Hypergeometric Distribution
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6. Normal Distribution and Continuous Random Variables(0)

Uniform Distribution
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Standard Normal Distribution
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Non-Standard Normal Distribution
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7. Sampling Distributions & Confidence Intervals: Mean(0)

Sampling Distribution of the Sample Mean and Central Limit Theorem
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Introduction to Confidence Intervals
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Confidence Intervals for Population Mean
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Determining the Minimum Sample Size Required
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8. Sampling Distributions & Confidence Intervals: Proportion(0)

Sampling Distribution of Sample Proportion
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Confidence Intervals for Population Proportion
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Chi Square Distribution
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Confidence Intervals for Population Variance
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9. Hypothesis Testing for One Sample(0)

Steps in Hypothesis Testing
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Performing Hypothesis Tests: Means
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Performing Hypothesis Tests: Proportions
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Performing Hypothesis Tests: Variance
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Critical Values and Rejection Regions
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Link Between Confidence Intervals and Hypothesis Testing
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Type I & Type II Errors
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10. Hypothesis Testing for Two Samples(0)

Two Proportions
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Two Means - Unknown, Unequal Variance
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Two Means - Unknown, Equal Variance
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Two Means - Known Variance
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Two Means - Matched Pairs (Dependent Samples)
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Two Variances and F Distribution
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11. Correlation(0)

Scatterplots & Intro to Correlation
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Correlation Coefficient
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12. Regression(0)

Linear Regression & Least Squares Method
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Residuals
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Coefficient of Determination
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Inferences for Slope
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Prediction Intervals
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Quadratic Regression
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13. Chi-Square Tests & Goodness of Fit(0)

Goodness of Fit Test
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Contingency Tables
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Independence Tests
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Homogeneity Tests
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14. ANOVA(0)

Introduction to ANOVA
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Multiple Comparisons: Tukey Test
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Multiple Comparisons: Tukey-Kramer Test
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Multiple Comparisons: Bonferoni Test
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Two-Way ANOVA
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12. Regression

Inferences for Slope

12. Regression

Inferences for Slope: Videos & Practice Problems

Video Lessons Practice Worksheet

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Problem 21Multiple Choice

A health researcher studies the relationship between the average daily sleep duration in hours ( $y$ ) and the number of cups of coffee consumed per day ( $x$ ) among adults. The regression equation is: $\hat{y} = - 1.5 x + 9$ . What does the slope and the intercept represent?

The slope represents the increase in sleep duration per cup of coffee consumed, and the $y$ -intercept represents the sleep duration when $5$ cups of coffee are consumed

The slope represents the decrease in sleep duration per cup of coffee consumed, and the $y$ -intercept represents the sleep duration when no coffee is consumed

The slope represents the increase in sleep duration per cup of coffee consumed, and the $y$ -intercept represents the sleep duration when no coffee is consumed

The slope represents the decrease in sleep duration per cup of coffee consumed, and the $y$ -intercept represents the sleep duration when $0$ cups of coffee are consumed

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Inferences for Slope: Videos & Practice Problems

A health researcher studies the relationship between the average daily sleep duration in hours (yy) and the number of cups of coffee consumed per day (xx) among adults. The regression equation is: y^=−1.5x+9\(\hat{y}\)=−1.5x+9. What does the slope and the intercept represent?

A health researcher studies the relationship between the average daily sleep duration in hours ( $y$ ) and the number of cups of coffee consumed per day ( $x$ ) among adults. The regression equation is: $\hat{y} = - 1.5 x + 9$ . What does the slope and the intercept represent?