Aplia, 1 term Printed Access Card for Gravetter/Wallnau's Essentials of Statistics for the Behavioral Sciences, 8th
8th Edition
ISBN: 9781285079707
Author: Frederick J Gravetter, Larry B. Wallnau
Publisher: Cengage Learning
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Textbook Question
Chapter 14, Problem 13P
A researcher measures three variables, X, Y, and Z, for each individual in a sample of n = 25. The Pearson
- a. Find the partial correlation between X and Y, holding Z constant.
- b. Find the partial correlation between X and Z, holding Y constant. (Hint: Simply switch the labels for the variables Y and Z to correspond with the labels in the equation.)
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GISS
Worksheet 10
Jesse runs a small business selling and delivering mealie meal to the spaza shops.
He charges a fixed rate of R80, 00 for delivery and then R15, 50 for each packet of
mealle meal he delivers. The table below helps him to calculate what to charge
his customers.
10
20
30
40
50
Packets of mealie
meal (m)
Total costs in Rands
80
235
390
545
700
855
(c)
10.1.
Define the following terms:
10.1.1. Independent Variables
10.1.2. Dependent Variables
10.2.
10.3.
10.4.
10.5.
Determine the independent and dependent variables.
Are the variables in this scenario discrete or continuous values? Explain
What shape do you expect the graph to be? Why?
Draw a graph on the graph provided to represent the information in the
table above.
TOTAL COST OF PACKETS OF MEALIE MEAL
900
800
700
600
COST (R)
500
400
300
200
100
0
10
20
30
40
60
NUMBER OF PACKETS OF MEALIE MEAL
Let X be a random variable with support SX = {−3, 0.5, 3, −2.5, 3.5}. Part ofits probability mass function (PMF) is given bypX(−3) = 0.15, pX(−2.5) = 0.3, pX(3) = 0.2, pX(3.5) = 0.15.(a) Find pX(0.5).(b) Find the cumulative distribution function (CDF), FX(x), of X.1(c) Sketch the graph of FX(x).
Chapter 14 Solutions
Aplia, 1 term Printed Access Card for Gravetter/Wallnau's Essentials of Statistics for the Behavioral Sciences, 8th
Ch. 14.1 - For each of the following, indicate whether you...Ch. 14.1 - The data points would be clustered more closely...Ch. 14.1 - If the data points are clustered close to a line...Ch. 14.1 - If a scatter plot shows a set of data points that...Ch. 14.2 - Can SP ever have a value less than zero?Ch. 14.2 - Calculate the sum of products of deviations (SP)...Ch. 14.2 - Prob. 3LCCh. 14.3 - A researcher finds a correlation of r = 0.71...Ch. 14.3 - A researcher finds a correlation of r = 0.60...Ch. 14.4 - A researcher obtains a correlation of r = 0.39 for...
Ch. 14.4 - As sample size gets smaller, what happens to the...Ch. 14.4 - Sales figures show a positive relationship between...Ch. 14.5 - Describe what is measured by a Spearman...Ch. 14.5 - Prob. 2LCCh. 14.5 - Prob. 3LCCh. 14.5 - The following data represent job-related stress...Ch. 14.5 - Prob. 2LCACh. 14.6 - A local gym charges a 25 monthly membership fee...Ch. 14.6 - Prob. 2LCCh. 14.6 - Prob. 3LCCh. 14.6 - If the slope constant (b) in a linear equation is...Ch. 14.6 - Prob. 1LCACh. 14.6 - Prob. 1LCBCh. 14.6 - Prob. 2LCBCh. 14.6 - Prob. 3LCBCh. 14.6 - Prob. 1LCCCh. 14 - a. What information is provided by the sign (+ or...Ch. 14 - Calculate SP (the sum of products of deviations)...Ch. 14 - Calculate SP (the sum of products of deviations)...Ch. 14 - For the following scores, X Y 1 3 3 5 2 1 2 3 a....Ch. 14 - For the following scores, X Y 1 7 4 2 1 3 1 6 2 0...Ch. 14 - Prob. 6PCh. 14 - With a small sample, a single point can have a...Ch. 14 - For the following set of scores, X Y 6 4 3 1 5 0 6...Ch. 14 - Judge and Cable (2010) report the results of a...Ch. 14 - The researchers cited in the previous problem also...Ch. 14 - Identifying individuals with a high risk of...Ch. 14 - As we have noted in previous chapters, even a very...Ch. 14 - A researcher measures three variables, X, Y, and...Ch. 14 - Prob. 17PCh. 14 - The regression equation is intended to be the best...Ch. 14 - A set of n = 20 pairs of scores (X and Y values)...Ch. 14 - A set of n = 25 pairs of scores (X and Y values)...Ch. 14 - For the following set of data, a. Find the linear...Ch. 14 - Does the regression equation from Problem 20...Ch. 14 - Prob. 23PCh. 14 - Although you might suspect that dissatisfied...Ch. 14 - Problem 9 examined the relationship between weight...Ch. 14 - There appears to be some evidence suggesting that...Ch. 14 - The regression equation is computed for a set of n...Ch. 14 - a. One set of 20 pairs of scores, X and Y values,...Ch. 14 - a. A researcher computes the regression equation...
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- A well-known company predominantly makes flat pack furniture for students. Variability with the automated machinery means the wood components are cut with a standard deviation in length of 0.45 mm. After they are cut the components are measured. If their length is more than 1.2 mm from the required length, the components are rejected. a) Calculate the percentage of components that get rejected. b) In a manufacturing run of 1000 units, how many are expected to be rejected? c) The company wishes to install more accurate equipment in order to reduce the rejection rate by one-half, using the same ±1.2mm rejection criterion. Calculate the maximum acceptable standard deviation of the new process.arrow_forward5. Let X and Y be independent random variables and let the superscripts denote symmetrization (recall Sect. 3.6). Show that (X + Y) X+ys.arrow_forward8. Suppose that the moments of the random variable X are constant, that is, suppose that EX" =c for all n ≥ 1, for some constant c. Find the distribution of X.arrow_forward
- 9. The concentration function of a random variable X is defined as Qx(h) = sup P(x ≤ X ≤x+h), h>0. Show that, if X and Y are independent random variables, then Qx+y (h) min{Qx(h). Qr (h)).arrow_forward10. Prove that, if (t)=1+0(12) as asf->> O is a characteristic function, then p = 1.arrow_forward9. The concentration function of a random variable X is defined as Qx(h) sup P(x ≤x≤x+h), h>0. (b) Is it true that Qx(ah) =aQx (h)?arrow_forward
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