Question 1
Use the given data to find the best predicted value of
the response variable.
The regression equation relating attitude rating (x) and job
performance rating (y) for the employees of a company is Ten pairs of data were used to obtain the
equation. The same data yield and
What is the best predicted job performance
rating for a person whose attitude rating is 56?
| 67.9 |
| 12.6 |
| 68.8 |
| 80.1 |
Question 2
Use computer software to obtain the multiple regression
equation. Use the estimated equation to find the predicted
value.
A health specialist gathered the data in the table to see if pulse
rates can be explained by exercise and smoking. For exercise, he
assigns 1 for yes, 2 for no. For smoking, he assigns 1 for yes, 2
for no. He then used his results to predict the pulse rate of a
person whose exercise value was 1 and whose smoking value was
1.
| 74 beats/min |
| 77 beats/min |
| 70 beats/min |
| 81 beats/min |
Question 3
Find the unexplained variation for the paired
data.
The paired data below consists of heights and weights of 6 randomly
selected adults. The equation of the regression line is . Find the unexplained variation.
| 979.44 |
| 100.06 |
| 119.3 |
| 1079.5 |
Question 4
Find the total variation for the paired
data.
The paired data below consists of heights and weights of 6 randomly
selected adults. The equation of the regression line is . Find the total variation.
| 100.06 |
| 1,079.5 |
| 1,119.3 |
| 979.44 |
Question 5
Find the standard error of estimate for the given paired
data.
The paired data below consists of heights and weights of 6 randomly
selected adults. The equation of the regression line is . Find the standard error of estimate.
| 5.0015 |
| 9.7944 |
| 15.648 |
| 6.9205 |
Question 6
Find the explained variation for the paired
data.
The equation of the regression line for the paired data below is
= 3x. Find the explained variation.
| 78.75 |
| 88.75 |
| 72.45 |
| 10.00 |
Question 7
Find the total variation for the paired
data.
The equation of the regression line for the paired data below is
= 3x. Find the total variation.
| 78.75 |
| 88.75 |
| 92.25 |
| 10.00 |
Question 8
Use the given data to find the best predicted value of
the response variable.
Eight pairs of data yield r = 0.708 and the regression equation
Also,
What is the best predicted value of y for
?
| 62.5 |
| 136.71 |
| 57.80 |
| 71.13 |
Question 9
Suppose you will perform a test to determine whether
there is sufficient evidence to support a claim of a linear
correlation between two variables. Find the critical values of r
given the number of pairs of data n and the significance level
.
n = 9, = 0.01
| r = ±0.666 |
| r = 0.798 |
| r = ±0.798 |
| r = 0.834 |
Question 10
Use the given data to find the equation of the
regression line. Round the final values to three significant
digits, if necessary.
Two different tests are designed to measure employee productivity
and dexterity. Several employees are randomly selected and tested
with these results.
Question 11
Find the standard error of estimate for the given paired
data.
The equation of the regression line for the paired data below is
. Find the standard error of estimate.
| 2.6959 |
| 3.1270 |
| 1.6419 |
| 0.8275 |
Question 12
Find the standard error of estimate for the given paired
data.
The data set given below has = 3x – 5 for its regression equation. Find
the standard error of estimate.
| 0 |
| 1.29 |
| 0.17 |
| 2.06 |
Question 13
Use computer software to obtain the multiple regression
equation and identify R2, adjusted R2, and the
P-value.
A visitor to Yellowstone National Park sat down one day and
observed Old Faithful, which faithfully spurts throughout the day,
day in and day out. He surmised that the height of a given spurt
was caused by the pressure build-up during the interval between
spurts and by the momentum build-up during the duration of the
spurt. He wrote down the data to test his hypothesis, but he didn’t
know what to do with his data. Can you help him out with his
theory?
| 0.089, 0.032, 0.634 |
| 0.025, -0.060, 0.750 |
| 0.049, -0.021, 0.123 |
| 0.213, 0.182, 0.213 |
Question 14
Use the computer display to answer the
question.
A collection of paired data consists of the number of years that
students have studied Spanish and their scores on a Spanish
language proficiency test. A computer program was used to obtain
the least squares linear regression line and the computer output is
shown below. Along with the paired sample data, the program was
also given an x value of 2 (years of study) to be used for
predicting test score.
If a person studies 4.5 years, what is the single value that is the
best predicted test score? Assume that there is a significant
linear correlation between years of study and test score.
| 49.1 |
| 80.6 |
| 83.0 |
| 53.35 |
Question 15
Find the value of the linear correlation coefficient
r.
| -0.081 |
| 0 |
| 0.754 |
| -0.775 |
Question 16
Given the linear correlation coefficient r and the
sample size n, determine the critical values of r and use your
finding to state whether or not the given r represents a
significant linear correlation. Use a significance level of
0.05.
r = 0.856, n = 5
| Critical values: r = ±0.878, significant linear correlation |
| Critical values: r = ±0.878, no significant linear correlation |
| Critical values: r = ±0.950, no significant linear correlation |
| Critical values: r = 0.950, significant linear correlation |
Question 17
Use the given data to find the equation of the
regression line. Round the final values to three significant
digits, if necessary.
Ten students in a graduate program were randomly selected. Their
grade point averages (GPAs) when they entered the program were
between 3.5 and 4.0. The following data were obtained regarding
their GPAs on entering the program versus their current GPAs.
Question 18
Use the given data to find the equation of the
regression line. Round the final values to three significant
digits, if necessary.
Question 19
Solve the problem.
A confidence interval for the y-intercept 0 for a regression line
can be found by evaluating the limits in
the interval below:
The critical value t/2 is found from the t-table using n – 2
degrees of freedom and b0 is calculated in the usual way from the
sample data.
Use the data below to obtain a 95% confidence interval estimate of
0 .
| 37.83 < |
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