Interpretations

Question 1

Standard Deviation

Answer 1

the context typically varies by SD from the mean of mean

Question 2

Percentile

Answer 2

percentile% of context are less than or equal to value

Question 3

z-score

Answer 3

specific value with context is z-score standard deviations above/below the mean

Question 4

Describe a distribution

Answer 4

Be sure to address shape, center, variability, and outliers in context.

Question 5

Correlation [r]

Answer 5

The linear association between x-context and y-context is weak/moderate/strong (strength) and positive/negative (direction)

Question 6

Residual

Answer 6

the actual y-context was residual above/below the predicted value when x-context = #

Question 7

y-intercept

Answer 7

the predicted y-context when x=0 context is y-intercept

Question 8

Slope

Answer 8

the predicted y-context increases/decreases by slope for each additional x-context

Question 9

Standard Deviation of Residuals [s]

Answer 9

the actual y-context is typically about s away from the value predicted by the LSRL.

Question 10

Coefficient of Determination [r^2]

Answer 10

about r^2% of the variation in y-context can be explained by the linear relationship with x-context

Question 11

Describe the relationship

Answer 11

be sure to address strength, direction, form and unusual features in context

Question 12

Probability P(A)

Answer 12

after many many context, the proportion of times that context A will occur is about P(A)

Question 13

Conditional Probability P(A|B)

Answer 13

Given context B, there is a P(A|B) probability of context A

Question 14

Expected Value (mean, [µ])

Answer 14

if the random process of context is repeated for a very large number of times, the average number of x-context we can expect is expected value (decimals are OK)

Question 15

Binomial Mean [µx]

Answer 15

after many, many trials, the average number of successful context out of n is µx

Question 16

Binomial Standard Deviation (σx)

Answer 16

the number of success context out of n typically varies by σx from the mean of µx

Question 17

Standard Deviation of Sample Proportions [σ phat]

Answer 17

the sample proportion of success context typically varies by σ phat from the true proportion of p

Question 18

Standard Deviation of Sample Means [σ xbar]

Answer 18

the sample mean amount of x-context typically varies by σ xbar from the true mean of µx

Question 19

Confidence Interval (A, B)

Answer 19

We are C% confident that the interval from A to B captures the true parameter context

Question 20

Confidence Level

Answer 20

if we take many, many samples of the same size and calculate a confidence interval for each, about confidence level % of them will capture the true parameter in context

Question 21

p-value

Answer 21

assuming Ho in context, there is a p-value probability of getting the observed result or less/greater/more extreme, purely by chance

Question 22

Conclusion for a Significance Test

Answer 22

because p-value p-value < / > ∂, we reject/fail to reject Ho. we **do/do not ** have convincing evidence for Ha in context

Question 23

Type 1 Error

Answer 23

The Ho context is true, but we find convincing evidence for Ha context

Question 24

Type II Error

Answer 24

the Ha context is true, but we don’t find convincing evidence for Ha context

Question 25

Power

Answer 25

if **Ha context is true at a specific value**, there is a **power** probability the significance test will correctly reject **Ho**

Question 26

Standard Error of the Slope [SEb]

Answer 26

the slope of the sample LSRL for **x-context** and **y-context** typically varies from the slope of the population LSRL by about **SEb**