Always give your conclusion in ________.
Greta Gerwig's Barbie and Christopher Nolan's Oppenheimer both opened in theaters on July 21, 2023. What was the name of the meme that emerged in the weeks leading up to their release?
Barbenheimer
What are the degrees of freedom for a test involving β?
df = n-2
What does "www" on a website link stand for?
World Wide Web
State all the model assumptions/conditions for a hypothesis test/confidence interval in linear regression.
Linearity, Independence, Normal Errors, Equal Variance
Given x = price and y = demand for a good, how would you describe Ho: β1 = 0 in words?
Price is not a significant useful predictor of demand for a good.
When performing a one-sided hypothesis test for β1, what do we do to the p-value provided in the JMP output?
Divide it by 2
A researcher wants to test whether there is a positive linear association between daily calorie intake and mile pace (in minutes) for athlete runners. What would be the null and alternative hypotheses for a test the researcher should do?
Ho: β1 = 0
Ha: β1 > 0
Why were the words "eras" and "renaissance" particularly relevant in 2023?
Taylor Swift and Beyonce (name of their tours)
Interpret the β1 = 0.1 for a situation wherein x = # of hours of sleep per day and y = GPA.
The true increase in mean GPA associated with a 1 hour increase in the number of hours of sleep per day is 0.1.
Interpret a β0 = 2 for a situation in which the researcher calculates a regression equation that involves caffeine intake (in mg) and the number of bathroom breaks in a day.
The true mean number of bathroom breaks in a day with a caffeine intake of 0 mg is 2.
Draw a diagram describing Ho: β1 = 0 and Ha: β1 > 0
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Write down (on the board) the equations for the true regression model and the idealized regression line.
true regression model: y = β0 + β1x + ε
idealized regression line: μ y|x = β0 + β1x
How much more acute is a dog's sense of smell compared to humans? (will accept if you number is in the right range)
10,000 - 100,000 times!
Define the true regression coefficient β0.
The true mean of the response variable for individuals with a value of 0 for the explanatory variable.
Define t-score in words in the context of a hypothesis test for β1.
The approximate number of standard deviations that b1 is from 0 (the hypothesized value of β1).
The true regression model is the model from which we can get multiple possible regression lines that attempt to explain the population. The idealized regression line is the average of all those lines.
(draw plot showing Normal curve for y-values at every x)
The unicorn is the national animal of which country?
Scotland!