QUESTION 1 What is the difference between the observed sample value of y and the

Question

QUESTION 1

What is the difference between the observed sample value of y and the y-value that is predicted by using the regression line?

residual

explanatory variable

slope

outlier

  

QUESTION 2

Which of the following is a measure of the variation of the residuals?

confidence interval

prediction interval

residual

standard error of estimate

0.125 points   

QUESTION 3

What do we call points that strongly affect the graph of the regression line?

influential points

y-intercepts

slopes

x-intercepts

QUESTION 4

The ________ deviation of (x, y) is the vertical distance y - which is the distance between the point (x, y) and the horizontal line passing through the sample mean .

partial

unexplained

explained

total

QUESTION 5

Which of the following statements about correlation is true?

We say that there is a positive correlation between x and y if the x-values increase as the corresponding y-values increase.

We say that there is a positive correlation between x and y if the x-values increase as the corresponding y-values decrease.

We say that there is a negative correlation between x and y if the x-values increase as the corresponding y-values increase.

We say there is a positive correlation between x and y if there is no distinct pattern in the scatterplot.

QUESTION 6

A straight line satisfies the _________ if the sum of the squares of the residuals is the smallest sum possible.

residual plot

empirical rule

least-squares property

rare event rule

QUESTION 7

In working with two variables related by a regression equation, the ________ in a variable is the amount that it changes when the other variable changes by exactly one unit.

response

probability

residual

marginal change

QUESTION 8

Which of the following is NOT equivalent to the other three?

Explanatory variable

Dependent variable

Predictor variable

Independent variable

QUESTION 9

The coefficient of determination, r2 , is the amount of variation in ____________ that is explained by the regression line.

r

y

x

QUESTION 10

When determining whether there is a correlation between two variables, one should use a ___________ to explore the data visually.

scatterplot

correlation coefficient

probability distribution

protractor

QUESTION 11

The __________ measures the strength of the linear correlation between the paired quantitative x- and y-values in a sample.

test statistic t

linear correlation coefficient r

population mean

sample standard deviation s

QUESTION 12

Which of the following is an interval estimate of a predicted value of y?

residual

standard error of estimate

confidence interval

prediction interval

QUESTION 13

In a scatterplot, what do we call a point lying far away from the other data points?

outlier

influential point

slope

y-intercept

QUESTION 14

What do we call a scatterplot of the (x, y) values after each of the y-coordinate values has been replaced by the residual value?

residual plot

pictograph

histogram

regression line

QUESTION 15

A ________ exists between two variables when the values of one variable are somehow associated with the values of the other variable.

correlation

inference

difference

trial

QUESTION 16

Given a collection of paired sample data, the ____________ algebraically describes the relationship between the two variables, x and y.

probability equation

slope

intercept

regression equation

residual

explanatory variable

slope

outlier

Explanation / Answer

1) ans- residual

the difference between the observed sample value of y and the y-value that is predicted by using the regression equation

Q2) ans- Standard error of estimate

A measure of the differences (or distances) between the observed sample y-values and the predicted values y that are obtained using
the regression equation. That is, it is a collective measure of the spread of the sample points about the regression line

Q4) ans Total Deviation

Of (x,y) is the vertical distance yhat - y mean which is the distance between the point (x,y) and the horizontal line passing through the sample mean ymean.

Q5) ans-

We say that there is a positive correlation between x and y if the x-values increase as the corresponding y-values increase.

Q6) least-squares property

a straight line satisfies this if the sum of the squares of the residuals is the smallest sum possible

Q7) marginal change

in working with two variables related by a regression equation, the marginal change in a variable is the amount that it changes when the other variable changes by exactly one unit

Q10)ans- scatterplot

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