Recent Statistics Questions & Answers

• In class activity For each student in the class measure shoe print length and height Test for a linear correlation and identify the equation of the regression line Measure the shoe print length

  In-class activity For each student in the class, measure shoe print length and height. Test for a linear correlation and identify the equation of the regression line. Measure the shoe print length of the professor and use it to estimate his or her height. How close is the estimat...

  30 May 2021

• Best Method Which of the preceding results is best for determining whether the drug treatment is effective in reducing pain Based on the preceding results does the drug appear to be effective

  Critical Thinking: Is the pain medicine Duragesic effective in reducing pain?Listed below are measures of pain intensity before and after using the drug Duragesic (fentanyl) (based on data from Janssen Pharmaceutical Products, L.P.). The data are listed in order by row, and corre...

  30 May 2021

• Matched Pairs The methods of Section 93 can be used to test a claim about matched data Identify the specific claim that the treatment is effective then use the methods of Section 93to test

  Critical Thinking: Is the pain medicine Duragesic effective in reducing pain?Listed below are measures of pain intensity before and after using the drug Duragesic (fentanyl) (based on data from Janssen Pharmaceutical Products, L.P.). The data are listed in order by row, and corre...

  30 May 2021

• Two Independent Samples The methods of Section 92 can be used to test the claim that two populations have the same mean Identify the specific claim that the treatment is effective then use the

  Critical Thinking: Is the pain medicine Duragesic effective in reducing pain?Listed below are measures of pain intensity before and after using the drug Duragesic (fentanyl) (based on data from Janssen Pharmaceutical Products, L.P.). The data are listed in order by row, and corre...

  30 May 2021

• Regression Use the given data to find the equation of the regression line Let the response y variable be the pain intensity after treatment What would be the equation of the regression line for

  Critical Thinking: Is the pain medicine Duragesic effective in reducing pain?Listed below are measures of pain intensity before and after using the drug Duragesic (fentanyl) (based on data from Janssen Pharmaceutical Products, L.P.). The data are listed in order by row, and corre...

  30 May 2021

• Correlation Use the given data to construct a scatterplot then use the methods of Section 101 to test for a linear correlation between the pain intensity before and after treatment If there

  Critical Thinking: Is the pain medicine Duragesic effective in reducing pain?Listed below are measures of pain intensity before and after using the drug Duragesic (fentanyl) (based on data from Janssen Pharmaceutical Products, L.P.). The data are listed in order by row, and corre...

  30 May 2021

• If Section 105 Multiple Regression was covered investigate correlation and regression using the like measures as the y variable and use the attractiveness measures and attribute measures as

  If Section 10-5 (Multiple Regression) was covered, investigate correlation and regression using the “like” measures as the y variable and use the attractiveness measures and attribute measures as the other two x variables.

  30 May 2021

• Is there a correlation between attractiveness measures and attribute measures

  Is there a correlation between attractiveness measures and attribute measures?

  30 May 2021

• Is there a correlation between like measures and attribute measures

  Is there a correlation between “like” measures and attribute measures?

  30 May 2021

• Speed Dating Data Set 18 Speed Dating in Appendix B includes data from 199 dates Due to the large size of this data set the data are available at wwwTriolaStatscom Download the data set and

  Speed Dating Data Set 18 “Speed Dating” in Appendix B includes data from 199 dates. Due to the large size of this data set, the data are available at www.TriolaStats.com. Download the data set and proceed to investigate correlations between pairs of variables using the data in th...

  30 May 2021

• Ages of Moviegoers Based on the data from Cumulative Review Exercise 7 assume that ages of moviegoers are normally distributed with a mean of 35 years and a standard deviation of 20 years a What

  Ages of Moviegoers Based on the data from Cumulative Review Exercise 7, assume that ages of moviegoers are normally distributed with a mean of 35 years and a standard deviation of 20 years. a. What is the percentage of moviegoers who are younger than 30 years of age? b. Find P2...

  30 May 2021

• Ages of Moviegoers The table below shows the distribution of the ages of moviegoers based on data from the Motion Picture Association of America Use the data to estimate the mean standard

  Ages of Moviegoers The table below shows the distribution of the ages of moviegoers (based on data from the Motion Picture Association of America). Use the data to estimate the mean, standard deviation, and variance of ages of moviegoers. Hint: For the open-ended category of “60 ...

  30 May 2021

• Cell Phones and Driving In the authors home town of Madison CT there were 2733 police traµc stops in a recent year and 7 of them were attributable to improper use of cell phones Use a 005

  Cell Phones and Driving In the author’s home town of Madison, CT, there were 2733 police traµc stops in a recent year, and 7% of them were attributable to improper use of cell phones. Use a 0.05 significance level to test the claim that the sample is from a population in which fe...

  30 May 2021

• Confidence Interval Construct a 95 confidence interval estimate of the mean sunspot number Write a brief statement interpreting the confidence interval

  sunspot number is a measure of sunspots or groups of sunspots on the surface of the sun. The DJIA is a commonly used index that is a weighted mean calculated from different stock values. DJIA                             14,198           13,338           10,606           11,625  ...

  30 May 2021

• Hypothesis Test The mean sunspot number for the past three centuries is 497 Use a 005 significance level to test the claim that the eight listed sunspot numbers are from a population with a mean

  sunspot number is a measure of sunspots or groups of sunspots on the surface of the sun. The DJIA is a commonly used index that is a weighted mean calculated from different stock values. DJIA                             14,198           13,338           10,606           11,625  ...

  30 May 2021

• z Scores Using only the sunspot numbers identify the highest number and convert it to a z score In the context of these sample data is that highest value significantly high Why or why not

  sunspot number is a measure of sunspots or groups of sunspots on the surface of the sun. The DJIA is a commonly used index that is a weighted mean calculated from different stock values. DJIA                             14,198           13,338           10,606           11,625  ...

  30 May 2021

• Correlation Use a 005 significance level to test for a linear correlation between the DJIA values and the sunspot numbers Is the result as you expected Should anyone consider investing in stocks

  sunspot number is a measure of sunspots or groups of sunspots on the surface of the sun. The DJIA is a commonly used index that is a weighted mean calculated from different stock values. DJIA                             14,198           13,338           10,606           11,625  ...

  30 May 2021

• Data Analysis Use only the sunspot numbers for the following a Find the mean median range standard deviation and variance b Are the sunspot numbers categorical data or quantitative data

  sunspot number is a measure of sunspots or groups of sunspots on the surface of the sun. The DJIA is a commonly used index that is a weighted mean calculated from different stock values. DJIA                             14,198           13,338           10,606           11,625  ...

  30 May 2021

• Multiple Regression with Cigarettes Use the sample data given in Review Exercise 1 Cigarette Tar and Nicotine a Find the multiple regression equation with the response y variable of amount of

  Multiple Regression with Cigarettes Use the sample data given in Review Exercise 1 “Cigarette Tar and Nicotine.” a. Find the multiple regression equation with the response (y) variable of amount of nicotine and predictor (x) variables of amounts of tar and carbon monoxide. b. I...

  30 May 2021

•       Time and Motion In a physics experiment at Doane College a soccer ball was thrown upward from the bed of a moving truck The table below lists the time sec that has lapsed from the throw and

  Time and Motion In a physics experiment at Doane College, a soccer ball was thrown upward from the bed of a moving truck. The table below lists the time (sec) that has lapsed from the throw and the height (m) of the soccer ball. What do you conclude about the relationship between...

  30 May 2021

• Cigarette Nicotine and Carbon Monoxide Refer to the table of data given in Exercise 1 and use the amounts of nicotine and carbon monoxide CO a Construct a scatterplot using nicotine for the x

  Cigarette Nicotine and Carbon Monoxide Refer to the table of data given in Exercise 1 and use the amounts of nicotine and carbon monoxide (CO). a. Construct a scatterplot using nicotine for the x scale, or horizontal axis. What does the scatterplot suggest about a linear correla...

  30 May 2021

• Cigarette Tar and Nicotine The table below lists measured amounts mg of tar carbon monoxide CO and nicotine in king size cigarettes of different brands from Data Set 13 Cigarette Contents in

  Cigarette Tar and Nicotine The table below lists measured amounts (mg) of tar, carbon monoxide (CO), and nicotine in king size cigarettes of different brands (from Data Set 13 “Cigarette Contents” in Appendix B). a. Is there is suµcient evidence to support a claim of a linear cor...

  30 May 2021

• Interpreting Scatterplot If the sample data were to result in the scatterplot shown here what is the value of the linear correlation coeffcient r

  sample data consisting of numbers of enrolled students (in thousands) and numbers of burglaries for randomly selected large colleges in a recent year (based on data from the New York Times).Enrollment (thousands)                        53             28             27            ...

  30 May 2021

• Causality True or false If the sample data lead us to the conclusion that there is suffcient evidence to support the claim of a linear correlation between enrollment and number of burglaries then

  sample data consisting of numbers of enrolled students (in thousands) and numbers of burglaries for randomly selected large colleges in a recent year (based on data from the New York Times).Enrollment (thousands)                        53             28             27            ...

  30 May 2021

• Linear Correlation and Relationships True or false: If there is no linear correlation between enrollment and number of burglaries then those two variables are not

  sample data consisting of numbers of enrolled students (in thousands) and numbers of burglaries for randomly selected large colleges in a recent year (based on data from the New York Times).Enrollment (thousands)                        53             28             27            ...

  30 May 2021

• Explained Variation Given that the linear correlation coeffcient r is found to be 0499 what is the proportion of the variation in numbers of burglaries that is explained by the linear relationship

  sample data consisting of numbers of enrolled students (in thousands) and numbers of burglaries for randomly selected large colleges in a recent year (based on data from the New York Times).Enrollment (thousands)                        53             28             27            ...

  30 May 2021

• Predictions Repeat the preceding exercise assuming that the linear correlation coeffcient is r 0997

  sample data consisting of numbers of enrolled students (in thousands) and numbers of burglaries for randomly selected large colleges in a recent year (based on data from the New York Times).Enrollment (thousands)                        53             28             27            ...

  30 May 2021

• Predictions The sample data result in a linear correlation coeffcient of r 0499 and the regression equation yn 383 239x What is the best predicted number of burglaries given an enrollment

  sample data consisting of numbers of enrolled students (in thousands) and numbers of burglaries for randomly selected large colleges in a recent year (based on data from the New York Times).Enrollment (thousands)                        53             28             27            ...

  30 May 2021

• Values of r If you had computed the value of the linear correlation coeffcient to be 1500 what should you conclude

  sample data consisting of numbers of enrolled students (in thousands) and numbers of burglaries for randomly selected large colleges in a recent year (based on data from the New York Times).Enrollment (thousands)                        53             28             27            ...

  30 May 2021

• Change in Scale Exercise 1 stated that r is found to be 0499 Does that value change if the actual enrollment values of 53000 28000 27000 36000 and 42000 are used instead of 53 28 2736

  sample data consisting of numbers of enrolled students (in thousands) and numbers of burglaries for randomly selected large colleges in a recent year (based on data from the New York Times).Enrollment (thousands)                        53             28             27            ...

  30 May 2021

• Switched Variables Which of the following change if the two variables of enrollment and burglaries are switched the value of r 0499 the Pvalue of 0.393 the critical values of 0878

  sample data consisting of numbers of enrolled students (in thousands) and numbers of burglaries for randomly selected large colleges in a recent year (based on data from the New York Times).Enrollment (thousands)                        53             28             27            ...

  30 May 2021

• Conclusion The linear correlation coefficient r is found to be 0499 the Pvalue is 0393 and the critical values for a 005 significance level are 0878 What should you conclude

  sample data consisting of numbers of enrolled students (in thousands) and numbers of burglaries for randomly selected large colleges in a recent year (based on data from the New York Times).Enrollment (thousands)                        53             28             27            ...

  30 May 2021

• Sum of Squares Criterion In addition to the value of R 2 another measurement used to assess the quality of a model is the sum of squares of the residuals Recall from Section 102 that a residual

   Sum of Squares Criterion In addition to the value of R2, another measurement used to assess the quality of a model is the sum of squares of the residuals. Recall from Section 10-2 that a residual is the difference between an observed y value and the value of y predicted from the...

  30 May 2021

• Moores Law In 1965 Intel cofounder Gordon Moore initiated what has since become known as Moores law The number of transistors per square inch on integrated circuits will double approximately

  Moore’s Law In 1965, Intel cofounder Gordon Moore initiated what has since become known as Moore’s law: The number of transistors per square inch on integrated circuits will double approximately every 18 months. In the table below, the first row lists different years and  the se...

  30 May 2021

• Global Warming Listed below are mean annual temperatures C of the earth for each decade beginning with the 1880s Find the best model and then predict the value for 2090 2099 Comment on the

  construct a scatterplot and identify the mathematical model that best fits the given data. Assume that the model is to be used only for the scope of the given data, and consider only linear, quadratic, logarithmic, exponential, and power models.Global Warming Listed below are mea...

  30 May 2021

• Sunspot Numbers Listed below in order by row are annual sunspot numbers beginning with 1980 Is the best model a good model Carefully examine the scatterplot and identify the pattern of the points

  construct a scatterplot and identify the mathematical model that best fits the given data. Assume that the model is to be used only for the scope of the given data, and consider only linear, quadratic, logarithmic, exponential, and power models. Sunspot Numbers Listed below in or...

  30 May 2021

• Stock Market Listed on the top of the next page in order by row are the annual high values of the Dow Jones Industrial Average for each year beginning with 1990 Find the best model and then predict

  construct a scatterplot and identify the mathematical model that best fits the given data. Assume that the model is to be used only for the scope of the given data, and consider only linear, quadratic, logarithmic, exponential, and power models. Stock Market Listed on the top of ...

  30 May 2021

• Carbon Dioxide Listed below are mean amounts of carbon dioxide concentrations parts per million in our atmosphere for each decade beginning with the 1880s Find the best model and then predict

  construct a scatterplot and identify the mathematical model that best fits the given data. Assume that the model is to be used only for the scope of the given data, and consider only linear, quadratic, logarithmic, exponential, and power models. Carbon Dioxide Listed below are me...

  30 May 2021

• Benfords Law According to Benfords law a variety of different data sets include numbers with leading first digits that occur with the proportions listed in the folllowing table

  construct a scatterplot and identify the mathematical model that best fits the given data. Assume that the model is to be used only for the scope of the given data, and consider only linear, quadratic, logarithmic, exponential, and power models. Benford’s Law According to Benford...

  30 May 2021

• construct a scatterplot and identify the mathematical model that best fits the given data Assume that the model is to be used only for the scope of the given data and consider only linear quadratic

  construct a scatterplot and identify the mathematical model that best fits the given data. Assume that the model is to be used only for the scope of the given data, and consider only linear, quadratic, logarithmic, exponential, and power models. Richter Scale The table lists diff...

  30 May 2021

• Deaths from Motor Vehicle Crashes Listed below are the numbers of deaths in the United States resulting from motor vehicle crashes Use the best model to find the projected number of such deaths for

  construct a scatterplot and identify the mathematical model that best fits the given data. Assume that the model is to be used only for the scope of the given data, and consider only linear, quadratic, logarithmic, exponential, and power models. Deaths from Motor Vehicle Crashes ...

  30 May 2021

• Bacterial Growth In a carefully controlled experiment bacteria are allowed to grow for a week The number of bacteria are recorded at the end of each day with these results 20 40 80 160 320

  construct a scatterplot and identify the mathematical model that best fits the given data. Assume that the model is to be used only for the scope of the given data, and consider only linear, quadratic, logarithmic, exponential, and power models. Bacterial Growth In a carefully co...

  30 May 2021

• Sound Intensity The table lists intensities of sounds as multiples of a basic reference sound A scale similar to the decibel scale is used to measure the sound intensity

  construct a scatterplot and identify the mathematical model that best fits the given data. Assume that the model is to be used only for the scope of the given data, and consider only linear, quadratic, logarithmic, exponential, and power models. Sound Intensity The table lists in...

  30 May 2021

• CD Yields The table lists the value y in dollars of 1000 deposited in a certificate of deposit at Bank of New York based on rates currently in effect

  construct a scatterplot and identify the mathematical model that best fits the given data. Assume that the model is to be used only for the scope of the given data, and consider only linear, quadratic, logarithmic, exponential, and power models. CD Yields The table lists the valu...

  30 May 2021

• Topsoil The Dirt Guy Topsoil company in Durham CT sells you guessed it topsoil It is sold by the yard which is actually a cubic yard and the variable x is the length yd of each side of

  construct a scatterplot and identify the mathematical model that best fits the given data. Assume that the model is to be used only for the scope of the given data, and consider only linear, quadratic, logarithmic, exponential, and power models. Topsoil The Dirt Guy Topsoil compa...

  30 May 2021

• Dropping the Ball The table lists the distance d meters above the ground for an object dropped in a low gravity vacuum from a height of 300 m The time t sec is the time after the object has

  construct a scatterplot and identify the mathematical model that best fits the given data. Assume that the model is to be used only for the scope of the given data, and consider only linear, quadratic, logarithmic, exponential, and power models. Dropping the Ball The table lists ...

  30 May 2021

• Interpreting a Graph The accompanying graph plots the numbers of points scored in each Super Bowl to the last Super Bowl at the time of this writing The graph of the quadratic equation that best

  Interpreting a Graph The accompanying graph plots the numbers of points scored in each Super Bowl to the last Super Bowl at the time of this writing. The graph of the quadratic equation that best fits the data is also shown in red. What feature of the graph justifies the value of...

  30 May 2021

• Interpreting R 2 In Exercise 2 the quadratic model results in R 2 0255 Identify the percentage of the variation in Super Bowl points that can be explained by the quadratic model relating

  Interpreting R2In Exercise 2, the quadratic model results in R2 = 0.255. Identify the percentage of the variation in Super Bowl points that can be explained by the quadratic model relating the variable of year and the variable of points scored. (Hint: See Example 2.) What does th...

  30 May 2021

• Super Bowl and R 2 Let x represent years coded as 123 for years starting in 1980 and let y represent the numbers of points scored in each Super Bowl from 1980 Using the data from 1980

  Super Bowl and R2 Let x represent years coded as 1, 2, 3, . . . for years starting in 1980, and let y represent the numbers of points scored in each Super Bowl from 1980. Using the data from 1980 to the last Super Bowl at the time of this writing, we obtain the following values o...

  30 May 2021

• Identifying a Model and R 2 Different samples are collected and each sample consists of IQ scores of 25 statistics students Let x represent the standard deviation of the 25 IQ scores in a sample

  Identifying a Model and R2 Different samples are collected, and each sample consists of IQ scores of 25 statistics students. Let x represent the standard deviation of the 25 IQ scores in a sample, and let y represent the variance of the 25 IQ scores in a sample. What formula best...

  30 May 2021