Introduction To Statistics And Data Analysis
6th Edition
ISBN: 9781337793612
Author: PECK, Roxy.
Publisher: Cengage Learning,
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 5, Problem 15CRE
a.
To determine
Give an interpretation of
b.
To determine
Find the value of
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
An article included a summary of findings regarding the use of SAT I scores, SAT II scores, and high school grade point average (GPA) to predict first-year college GPA. The article states that "among these, SAT II scores are the best predictor, explaining 17 percent of the variance in first-year college grades. GPA was second at 15.2 percent, and SAT I was last at 13.1 percent." If the data from this study were used to fit a least squares line with y = first-year college GPA and x = high school GPA, what would the value of r2 have been?
R2 ____________________%
Is a baseball players' slugging percentage correlated to their strikeout percentage? A random sample of n=6n=6professional baseball players gave the following data (Source: baseball-reference.com)
Slugging
0.396
0.42
0.323
0.078
0.473
0.467
Strikeouts
27
14.3
30.8
47.1
17.8
36.7
Find the least squares line if we consider slugging percengtage as the explanatory variable and strikeout percentage as the response variable. (Round the y-intercept and slope to 2 decimal places.)y^ =
For a unit increase in slugging percentage, how much of a decrease Correct in strikeout percentage is predicted? (Round your answer to 2 decimal places.)
What percentage of the variation in strikeout percentage (yy) can be explained by slugging percentage (xx) and the least squares line? (Round to the nearest percent.)
p-value (Round to four decimal places)
Suppose a researcher is interested inthe effectiveness in a new childhood exercise program implemented in a SRS of schools across a particular county. In order to test the hypothesis that the new program decreases BMI (Kg/m2), the researcher takes a SRS of children from schools where the program is employed and a SRS from schools that do not employ the program and compares the results. Assume the following table represents the SRSs of students and their BMIs.
Student intervention group
BMI (kg/m2)
Student control group
BMI (kg/m2)
A
18.6
A
21.6
B
18.2
B
18.9
C
19.5
C
19.4
D
18.9
D
22.6
E
24.1
F
23.6
A) Assuming that all the necessary conditions are met (normality, independence, etc.) carry out the appropriate statistical test to determine if the new exercise program is effective. Use an alpha level of 0.05. Do not assume equal variances.B) Construct a 95% confidence interval about your estimate for the average difference in BMI between the groups.
Chapter 5 Solutions
Introduction To Statistics And Data Analysis
Ch. 5.1 - For each of the scatterplots shown, answer the...Ch. 5.1 - For each of the following pairs of variables,...Ch. 5.1 - For each of the following pairs of variables,...Ch. 5.1 - For each of the following pairs of variables,...Ch. 5.1 - Is the following statement correct? Explain why or...Ch. 5.1 - Draw a scatterplot for which r = 1.Ch. 5.1 - Draw a scatterplot for which r = 1.Ch. 5.1 - Each year J.D. Power and Associates surveys new...Ch. 5.1 - The accompanying data are x = Cost (cents per...Ch. 5.1 - The authors of the paper Flat-footedness Is Not a...
Ch. 5.1 - The paper The Relationship Between Cell Phone Use,...Ch. 5.1 - Data from the U.S. Federal Reserve Board (federal...Ch. 5.1 - The article 115K! The 13 Best Paying U.S....Ch. 5.1 - It may seem odd, but one of the ways biologists...Ch. 5.1 - An auction house released a list of 25 recently...Ch. 5.1 - A sample of automobiles traversing a certain...Ch. 5.2 - Two scatterplots are shown below. Explain why it...Ch. 5.2 - The authors of the paper Statistical Methods for...Ch. 5.2 - The accompanying data are a subset of data from...Ch. 5.2 - The authors of the paper Evaluating Existing...Ch. 5.2 - The authors of the paper referenced in the...Ch. 5.2 - A sample of 548 ethnically diverse students from...Ch. 5.2 - The relationship between hospital patient-to-nurse...Ch. 5.2 - The report Airline Quality Rating 2016...Ch. 5.2 - Acrylamide is a chemical that is sometimes found...Ch. 5.2 - Use the acrylamide data given in the previous...Ch. 5.2 - Studies have shown that people who suffer sudden...Ch. 5.2 - The data given in the previous exercise on x =...Ch. 5.2 - An article on the cost of housing in Califomia...Ch. 5.2 - The following data on sale price, size, and...Ch. 5.2 - Explain why it can be dangerous to use the...Ch. 5.2 - The sales manager of a large company selected a...Ch. 5.2 - Explain why the slope b of the least-squares line...Ch. 5.2 - Prob. 34ECh. 5.3 - Does it pay to stay in school? The report Trends...Ch. 5.3 - The data in the accompanying table is from the...Ch. 5.3 - The paper referenced in the previous exercise also...Ch. 5.3 - Consider the residual plot from the previous...Ch. 5.3 - The report Airline Quality Rating 2016...Ch. 5.3 - Acrylamide is a chemical that is sometimes found...Ch. 5.3 - Consider the scatterplot of acrylamide...Ch. 5.3 - Some types of algae have the potential to cause...Ch. 5.3 - The relationship between x = Total number of...Ch. 5.3 - The residuals from the least-squares line for the...Ch. 5.3 - The first Batman movie was made over 50 years ago...Ch. 5.3 - The article 115K! The 13 Best Paying U.S....Ch. 5.3 - The article Examined Life: What Stanley H. Kaplan...Ch. 5.3 - The accompanying data are a subset of data from...Ch. 5.3 - The article California State Parks Closure List...Ch. 5.3 - The article referenced in the previous exercise...Ch. 5.3 - A study was carried out to investigate the...Ch. 5.3 - Both r2 and se are used to assess the fit of a...Ch. 5.3 - Prob. 53ECh. 5.4 - The following data on x = Frying time (in seconds)...Ch. 5.4 - Use the information provided in the previous...Ch. 5.4 - The paper Aspects of Food Finding by Wintering...Ch. 5.4 - Food intake of grazing animals is limited by the...Ch. 5.4 - A study, described in the paper Prediction of...Ch. 5.4 - Prob. 59ECh. 5.4 - The following table gives the number of heart...Ch. 5.4 - Refer to the heart transplant data given in the...Ch. 5.4 - The paper Population Pressure and Agricultural...Ch. 5.4 - Determining the age of an animal can sometimes be...Ch. 5.5 - The paper How Lead Exposure Relates to Temporal...Ch. 5.5 - The following quote is from the paper Evaluation...Ch. 5 - The accompanying data represent x = Amount of...Ch. 5 - The paper A Cross-National Relationship Between...Ch. 5 - The following data on x = Score on a measure of...Ch. 5 - The paper Effects of Canine Parvovirus (CPV) on...Ch. 5 - The paper Depression, Body Mass Index, and Chronic...Ch. 5 - The paper Aspects of Food Finding by Wintering...Ch. 5 - Data on salmon availability (x) and the percentage...Ch. 5 - No tortilla chip lover likes soggy chips, so it is...Ch. 5 - The article Reduction is Soluble Protein and...Ch. 5 - The following quote is from the paper The Weight...Ch. 5 - An accurate assessment of oxygen consumption...Ch. 5 - Consider the four (x, y) pairs (0, 0), (1, 1), 1,...Ch. 5 - Prob. 1CRECh. 5 - Data from a survey of 1046 adults age 50 and older...Ch. 5 - Prob. 3CRECh. 5 - Prob. 4CRECh. 5 - Prob. 5CRECh. 5 - The amount of money spent each year on science,...Ch. 5 - Below are the data used to construct the time...Ch. 5 - In August 2009, Harris Interactive released the...Ch. 5 - Prob. 9CRECh. 5 - Prob. 10CRECh. 5 - Prob. 11CRECh. 5 - Prob. 12CRECh. 5 - Cost-to-charge ratios (the percentage of the...Ch. 5 - In the article Reproductive Biology of the Aquatic...Ch. 5 - Prob. 15CRECh. 5 - Anabolic steroid abuse has been increasing despite...Ch. 5 - Prob. 81ECh. 5 - Prob. 82ECh. 5 - Prob. 83ECh. 5 - Prob. 84ECh. 5 - Suppose the hypothetical data below are from a...Ch. 5 - Prob. 86E
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- Suppose a doctor measures the height, x, and head circumference, y, of 11 children and obtains the data below. The correlation coefficient is 0.904 and the least squares regression line is y=0.208x+11.736. Complete parts (a) and (b) below.arrow_forwardA regional distributor of NIKE shoes is in the process of analyzing the factors that influence thedemand for the NIKE brand. The distributor hired an economist to conduct a study on the demand for this product. The economist collected quarterly time series data from 1986Q1 to 1991Q4 on the following variables:SALES Sales of NIKE shoesRPDI Real personal disposal incomeCONF Consumer confidence indexD2 Dummy variable for quarter 2D3 Dummy variable for quarter 3D4 Dummy variable for quarter 4Ordinary Least Squares was applied using sales as the dependent variable and real personal disposal income, consumer confidence index, dummy variable for quarter 2, dummy variable for quarter 3, and dummy variable for quarter 4 as independent variables. The table below shows the OLS output.Model 1: OLS, using observations 1986:1-1991:4 (T = 24)Dependent variable: SALESCoefficient Std. Error t-ratio p-valueconst −139.452 61.8421 −2.255 0.0368 **RPDI 1.56286 0.438492 3.564 0.0022 ***CONF 0.256247…arrow_forwardA regional distributor of NIKE shoes is in the process of analyzing the factors that influence thedemand for the NIKE brand. The distributor hired an economist to conduct a study on the demand for this product. The economist collected quarterly time series data from 1986Q1 to 1991Q4 on the following variables:SALES Sales of NIKE shoesRPDI Real personal disposal incomeCONF Consumer confidence indexD2 Dummy variable for quarter 2D3 Dummy variable for quarter 3D4 Dummy variable for quarter 4Ordinary Least Squares was applied using sales as the dependent variable and real personal disposal income, consumer confidence index, dummy variable for quarter 2, dummy variable for quarter 3, and dummy variable for quarter 4 as independent variables. The table below shows the OLS output.Model 1: OLS, using observations 1986:1-1991:4 (T = 24)Dependent variable: SALESCoefficient Std. Error t-ratio p-valueconst −139.452 61.8421 −2.255 0.0368 **RPDI 1.56286 0.438492 3.564 0.0022 ***CONF 0.256247…arrow_forward
- The table below shows the numbers of bushels of barley cultivated per acre for 12 one-acre plots of land for two different strains of barley, PHT-34 and CBX-21. PHT-34 CBX-21 43 55 49 46 47 43 38 44 47 45 45 49 50 47 46 59 46 52 46 49 45 48 43 51 Determine the minimum data value, the quartiles, and the maximum data value for the PHT-34 and CBX-21 data sets. PHT-34 CBX-21 min Q1 Q2 Q3 maxarrow_forwardA researcher conducts an independent-measures study comparing two treatments and reports the t statistic as t(25)=2.071 . How many individuals participated in the entire study? Using a two-tailed test with αα=.05 , is there a significant difference between the two treatments? Compute r2 to measure the percentage of variance accounted for by the treatment effect.arrow_forwardDo types of crimes reported on television newscasts differ by the age of the criminals? A researcher uses her dvr to record the local television news for a 2-week period of time. She records the types of crimes and notes the age of the offender. Conduct a chi-square test (alpha = .05) of the null hypothesis that televised offense type does not vary by age group of offender. Offense type Young middle age older violent 27 10 3 property 14 12 11 sex 7 9 5 Report the obtained chi-square, df, and critical chi-square. Report your findings based on the null hypothesis.arrow_forward
- The researchers reported:" A 2x2 ANOVA revealed, first of all, a main effect for depletion, indicating that depleted individuals generated less ideas (M = 9.40, SD = 5.64) than non-depleted individuals (M = 12.44, SD = 7.34), F (1, 108) = 6.03, p = .016, n2 = .05. This effect was qualified by the expected interaction with [perseverance], F (1,108) = 4.52, p = .036, n2 = .05". What size are the effects for the main effect of depletion and for the interaction between depletion and perseverance, according to Cohen's conventions? a. These are small- to -medium effects b. These are non existent effects c. These are large effects d. We are unable to tell from from the n2 / r2 statisticsarrow_forwardA researcher was interested in studying if there is a significant relationship between the severity of COVID 19 and blood types of individuals. 2400 individuals were studied and the results are shown below. blood types condition O A B AB Total critical 64 44 20 8 136 severe 175 129 50 15 369 moderate 211 528 151 125 1015 mild 200 400 140 140 880 total 650 1101 361 288 2400 a. State both the null and alternative hypotheses. b. Provide the decision rule for making this decision. Use an alpha level of 5%. c. Show all of the work necessary to calculate the appropriate statistic. d. What conclusion are you allowed to draw? e. Would your conclusion change at the 10% level of significance? [2 marks]arrow_forwardA survey was recently conducted in which males and females were asked whether they owned a laptop personal computer. The following data were observed: Males Females Have Laptop 120 70 No Laptop 50 60 Given this information, if an alpha level of .05 is used, the critical value for testing whether the two variables are independent is x2 = 3.8415. Group of answer choices True Falsearrow_forward
- Airline passengers were asked two questions: #1, In the past year, when traveling for business, what type of ticket did you purchase most often?", and #2, "Was the flight domestic or international?" THe following table presents the results: "Type of Ticket?" "Domestic" "International" "First Class" 29 22 "Business Class" 95 121 "Economy Class" 518 135 If a Test of Independence will be performed on this dataset, with alpha = 0.10, state the value of the Critical Number that you'd use to set up the Rejection Region for this test. The value of the Critical Number to be used in this Test of Independence is:arrow_forwardA study was conducted to compare two treatment methods for smokers who wish to stop smoking. Using the Chi-squared Goodness-of-fit test with 5% level of significance, determine whether the data suggests that the two treatments are equally effective in helping smokers stop smoking. The 300 smokers were divided between the two methods, with the following results: TREATMENTS STOPPED SMOKING SMOKE LESS SMOKE THE SAME ROW TOTAL Treatment A 44 38 68 150 Treatment B 33 42 75 150 COLUMN TOTAL 77 80 1 43 300arrow_forwardA professor at the University of Iowa was interested in evaluating whether domestic dispute calls were more dangerous to officers than other types of calls. Collecting information on call for service and whether the call resulted in officer injury. The data is displayed in the contingency table below Using an alpha level of 0.05, are domestic calls more dangerous for officers than other types of calls? Compute Cramer’s V and identify if it is a small, medium, or large effectarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning
Correlation Vs Regression: Difference Between them with definition & Comparison Chart; Author: Key Differences;https://www.youtube.com/watch?v=Ou2QGSJVd0U;License: Standard YouTube License, CC-BY
Correlation and Regression: Concepts with Illustrative examples; Author: LEARN & APPLY : Lean and Six Sigma;https://www.youtube.com/watch?v=xTpHD5WLuoA;License: Standard YouTube License, CC-BY