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Daniel C.

In a linear regression of *y* predicted by *x*, we assume repeated responses of *y* are ________ of each other.

Independent

(It is an expected condition that the individuals in the study are unaffected by one another.)

True or False:

A real estate firm collected data from home sales to study the relationship between area of living space measured in square feet (*x*) and the selling price in dollars (*y*). The 95% confidence interval for the population slope *β* is 62.37 ± 7.18. From this result, we are 95% confident that the least-squares estimate for slope is between about 54.19 and 68.55.

A real estate firm collected data from home sales to study the relationship between area of living space measured in square feet (

False

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A slope is a rate of ______.

What formula is this:

*ŷ* = *a* + *bx*

Least-squares regression line

What do the symbols mean in the following equation:

*ŷ* = *a* + *bx*

a = y intercept

b = slope

x = x variable used to predict y

The standard deviation σ, which describes the __________ of the response *y* about the population regression line.

variability

How do you find a residual?

residual = observed y - predicted y

(or = *y* − *ŷ *)

______ are the degrees of freedom for regression.

n-2

Conditions for inference

1) Linearity (straight line)

2) Normality

3) Independence (no matched pairs, blocking, etc)

4) Equal standard deviations (no funnels)

A regression line with a slope 0 suggests?

That there is no linear relationship between x and y in the population.

or

The mean of y does not change at all when x changes.

So, *H*_{0}: *β* = 0 means there is no relationship.

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How do check normality for p?

Check that the *np* (sample x proportion) is larger than 10.

What is a safe value for p*?

0.5

How do you find p-hat?

number of successes in the sample/n

You must find _______ before random sampling.

the sample size

>

greater than

<

less than

Historically, returns on investments in the stock market are about 7% per year. The 7% figure is a:

Population p

sample p

not a p

not a proportion

The chi-squared statistic is _________ across each cell in the table?

(observed - expected) ^{2}/expected

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