Question 1

In linear regression analysis, we assume that for each value of $x$ the variable to be predicted has a mean of __________.

Accepted Answer

$\mu_{y} \mid x$

Question 2

The following data gives the demand of a product (in hundreds of units) for five different price levels (in dollars):
   Fit a parabola to this data.

Accepted Answer

$y=2.016+29.924 x-1.964 x^{2}$

Question 3

The symbol used to indicate the $y$ values of points on a least-squares line is

Accepted Answer

A)  $b$. 
B)  $\bar{y}$. 
C)  $\hat{y}$. 
D)  $y$. 
A)  $b$. 
B)  $\bar{y}$. 
C)  $\hat{y}$. 
D)  $y$. C

Question 4

In general, the smaller the standard error of estimate the better the least-squares regression line.

Accepted Answer

A) True 
 B)False

Question 5

The term which measures the dispersion of the $y$ values about the estimated least-squares line is called __________.

Accepted Answer

the standa

Question 6

If we are testing the hypothesis that $\beta=0$ against the alternative that $\beta \neq 0$ when there are 12 data points and $\alpha=0.05$, the correct $t$ value to be used is

Accepted Answer

A)  1.812 . 
B)  1.796 . 
C)  2.228 . 
D)  2.201 . 
A)  1.812 . 
B)  1.796 . 
C)  2.228 . 
D)  2.201 .

Question 7

Using a 95% confidence level, construct an interval estimate of the mean consumer awareness of a single product, assuming $\$ 700,000$ is spent for its promotion.

Accepted Answer

The answer of Using a 95% confidence level, construct an...

Question 8

Table 16.1
The table below shows annual profit figures (in thousands of dollars) for a company.
  
-Fit an exponential trend to the data in Table 16.1.

Accepted Answer

The answer of Table 16.1
The table below shows annual profit...

Question 9

A multiple regression equation with three independent variables has the form __________.

Accepted Answer

The answer of A multiple regression equation with three independent...

Question 10

If paired data plotted on log-log paper fall close to a straight line, we would expect a parabola to provide a good fit for the data.

Accepted Answer

A) True 
 B)False

Question 11

In regression analysis, the quantity that gives the amount by which $y$ changes for a unit change in $x$ is called the

Accepted Answer

A)  $y$-intercept. 
B)  slope. 
C)  standard error of estimates. 
D)  standard deviation. 
A)  $y$-intercept. 
B)  slope. 
C)  standard error of estimates. 
D)  standard deviation.

Question 12

The normal equations are obtained from minimizing

Accepted Answer

A)  $\sum(y-\hat{y})^{2}$. 
B)  $\sum(y-\bar{y})^{2}$. 
C)  $\sum(y-y)$. 
D)  $\sum(\bar{y}-y)$. 
A)  $\sum(y-\hat{y})^{2}$. 
B)  $\sum(y-\bar{y})^{2}$. 
C)  $\sum(y-y)$. 
D)  $\sum(\bar{y}-y)$.

Question 13

The slope of the true regression line is given by

Accepted Answer

A)  $\alpha$. 
B)  $\beta$. 
C)  $a$. 
D)  $b$. 
A)  $\alpha$. 
B)  $\beta$. 
C)  $a$. 
D)  $b$.

Question 14

When we make inferences about the regression coefficients $\alpha$ and $\beta$, the number of degrees of freedom that is required to use the $t$ table is __________.

Accepted Answer

The answer of When we make inferences about the regression...

Question 15

Table 16.3
A study is supposed to examine the relationship between the amount spent on advertising a new product $(x)$ and consumer awareness of the product ( $y$) based on the proportion of people who have heard of it. Suppose a sample shows the data below for four different products.
  
-Use the data in Table 16.3 to solve the following:
a. Find the equation of the least-squares line that will allow us to predict consumer awareness from the advertising expense.
b. Calculate the standard error of estimate.
c. Can the equation found in part (a) be used for an advertising expense of 60 thousand dollars? Why or why not?

Accepted Answer

a. @#LAT-DLM&
b. 16.74
c. The relationsh

Question 16

The estimated regression line is the line that minimizes the sum of the squares of the distances from the given points to the line.

Accepted Answer

A) True 
 B)False

Question 17

Given the regression equation $y=3+7 x$, the most central value in a confidence interval for the mean of $y$, given $x=4$ is

Accepted Answer

A)  4 . 
B)  31 . 
C)  7 . 
D)  3 . 
A)  4 . 
B)  31 . 
C)  7 . 
D)  3 .

Question 18

A personnel manager wants to predict the salary (in thousands of dollars) of a systems analyst based on number of years of experience. A random sample of 12 systems analysts produces the following results:
   
a. Find the least-squares line which predicts salary based on years of experience.
b. Predict the salary of a system analyst with five years experience.

Accepted Answer

The answer of A personnel manager wants to predict the...

Question 19

In a two-tailed hypothesis test that $\beta=0$, the tabled $t$ values are -2.262 and 2.262 . If the obtained $t$ value is 1.83 , the null hypothesis __________ rejected.

Accepted Answer

The answer of In a two-tailed hypothesis test that $\beta=0$,...

Question 20

Using a $5 \%$ significance level, test the hypothesis that advertising expenditure has no impact on consumer awareness of a single product, assuming $\$ 700,000$ is spent for its promotion.

Accepted Answer

Since @#LAT-DLM& is not greater than @#LAT-DLM& ca

In linear regression analysis, we assume that for each value of $x$ the variable to be predicted has a mean of __________.

The following data gives the demand of a product (in hundreds of units) for five different price levels (in dollars): Fit a parabola to this data.

The symbol used to indicate the $y$ values of points on a least-squares line is

In general, the smaller the standard error of estimate the better the least-squares regression line.

The term which measures the dispersion of the $y$ values about the estimated least-squares line is called __________.

If we are testing the hypothesis that $\beta=0$ against the alternative that $\beta \neq 0$ when there are 12 data points and $\alpha=0.05$ , the correct $t$ value to be used is

Using a 95% confidence level, construct an interval estimate of the mean consumer awareness of a single product, assuming $\$ 700,000$ is spent for its promotion.

Table 16.1 The table below shows annual profit figures (in thousands of dollars) for a company. -Fit an exponential trend to the data in Table 16.1.

A multiple regression equation with three independent variables has the form __________.

If paired data plotted on log-log paper fall close to a straight line, we would expect a parabola to provide a good fit for the data.

In regression analysis, the quantity that gives the amount by which $y$ changes for a unit change in $x$ is called the

The normal equations are obtained from minimizing

The slope of the true regression line is given by

When we make inferences about the regression coefficients $\alpha$ and $\beta$ , the number of degrees of freedom that is required to use the $t$ table is __________.

The estimated regression line is the line that minimizes the sum of the squares of the distances from the given points to the line.

Given the regression equation $y=3+7 x$ , the most central value in a confidence interval for the mean of $y$ , given $x=4$ is

In a two-tailed hypothesis test that $\beta=0$ , the tabled $t$ values are -2.262 and 2.262 . If the obtained $t$ value is 1.83 , the null hypothesis __________ rejected.

Using a $5 \%$ significance level, test the hypothesis that advertising expenditure has no impact on consumer awareness of a single product, assuming $\$ 700,000$ is spent for its promotion.

Introduction

Summarizing Data: Listing and Grouping

Summarizing Data: Measures of Location

Summarizing Data: Measures of Variation

Possibilities and Probabilities

Some Rules of Probability

Expectations and Decisions

Probability Distributions

The Normal Distribution

Sampling and Sampling Distributions

Problems of Estimation

Tests of Hypotheses: Means

Tests of Hypotheses: Standard Deviations

Tests of Hypotheses Based on Count Data

Analysis of Variance

Correlation

Nonparametric Tests

Filters

Exam 16: Regression

In linear regression analysis, we assume that for each value of xxx the variable to be predicted has a mean of __________.

The following data gives the demand of a product (in hundreds of units) for five different price levels (in dollars): Fit a parabola to this data.

The symbol used to indicate the yyy values of points on a least-squares line is

In general, the smaller the standard error of estimate the better the least-squares regression line.

The term which measures the dispersion of the yyy values about the estimated least-squares line is called __________.

If we are testing the hypothesis that β=0\beta=0β=0 against the alternative that β≠0\beta \neq 0β=0 when there are 12 data points and α=0.05\alpha=0.05α=0.05 , the correct ttt value to be used is

Using a 95% confidence level, construct an interval estimate of the mean consumer awareness of a single product, assuming $700,000\$ 700,000$700,000 is spent for its promotion.

Table 16.1 The table below shows annual profit figures (in thousands of dollars) for a company. -Fit an exponential trend to the data in Table 16.1.

A multiple regression equation with three independent variables has the form __________.

If paired data plotted on log-log paper fall close to a straight line, we would expect a parabola to provide a good fit for the data.

In regression analysis, the quantity that gives the amount by which yyy changes for a unit change in xxx is called the

The normal equations are obtained from minimizing

The slope of the true regression line is given by

When we make inferences about the regression coefficients α\alphaα and β\betaβ , the number of degrees of freedom that is required to use the ttt table is __________.

The estimated regression line is the line that minimizes the sum of the squares of the distances from the given points to the line.

Given the regression equation y=3+7xy=3+7 xy=3+7x , the most central value in a confidence interval for the mean of yyy , given x=4x=4x=4 is

In a two-tailed hypothesis test that β=0\beta=0β=0 , the tabled ttt values are -2.262 and 2.262 . If the obtained ttt value is 1.83 , the null hypothesis __________ rejected.

Using a 5%5 \%5% significance level, test the hypothesis that advertising expenditure has no impact on consumer awareness of a single product, assuming $700,000\$ 700,000$700,000 is spent for its promotion.

Introduction

Summarizing Data: Listing and Grouping

Summarizing Data: Measures of Location

Summarizing Data: Measures of Variation

Possibilities and Probabilities

Some Rules of Probability

Expectations and Decisions

Probability Distributions

The Normal Distribution

Sampling and Sampling Distributions

Problems of Estimation

Tests of Hypotheses: Means

Tests of Hypotheses: Standard Deviations

Tests of Hypotheses Based on Count Data

Analysis of Variance

Correlation

Nonparametric Tests

Filters

In linear regression analysis, we assume that for each value of $x$ the variable to be predicted has a mean of __________.

The symbol used to indicate the $y$ values of points on a least-squares line is

The term which measures the dispersion of the $y$ values about the estimated least-squares line is called __________.

If we are testing the hypothesis that $\beta=0$ against the alternative that $\beta \neq 0$ when there are 12 data points and $\alpha=0.05$ , the correct $t$ value to be used is

Using a 95% confidence level, construct an interval estimate of the mean consumer awareness of a single product, assuming $\$ 700,000$ is spent for its promotion.

In regression analysis, the quantity that gives the amount by which $y$ changes for a unit change in $x$ is called the

When we make inferences about the regression coefficients $\alpha$ and $\beta$ , the number of degrees of freedom that is required to use the $t$ table is __________.

Given the regression equation $y=3+7 x$ , the most central value in a confidence interval for the mean of $y$ , given $x=4$ is

In a two-tailed hypothesis test that $\beta=0$ , the tabled $t$ values are -2.262 and 2.262 . If the obtained $t$ value is 1.83 , the null hypothesis __________ rejected.

Using a $5 \%$ significance level, test the hypothesis that advertising expenditure has no impact on consumer awareness of a single product, assuming $\$ 700,000$ is spent for its promotion.