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statistics the art and science

Questions and Answers of Statistics The Art and Science

Use the information in the table to give the sample size and to calculate R2.The ANOVA table in Exercise 9.29 Analysis of Variance Source Regression Residual Error 174 Total DF 3396.8 3396.8 21.85
Use the information in the table to give the sample size and to calculate R2.The ANOVA table in Exercise 9.30 Response: Y Df Sum Sq Mean Sq Fvalue Pr(>F) 11.01 0.001 ** 352.97 352.97 32.06 1 ModelA
Use the information in the table to give the sample size and to calculate R2.The ANOVA table in Exercise 9.31 Response: Y Sum Sq Mean Sq Fvalue Pr(>F) Df ModelB Residuals 342 10.380 1630.570 1640.951
SSModel = 250 with SSTotal = 3000 and a sample size of n = 100We give some information about sums of squares and sample size for a linear model. Use this information to fill in all values in an
SSModel = 800 with SSTotal = 5820 and a sample size of n = 40We give some information about sums of squares and sample size for a linear model. Use this information to fill in all values in an
SSModel = 8.5 with SSError = 247.2 and a sample size of n = 25We give some information about sums of squares and sample size for a linear model. Use this information to fill in all values in an
SSError = 15,571 with SSTotal = 23,693 and a sample size of n = 500We give some information about sums of squares and sample size for a linear model. Use this information to fill in all values in an
Exercise 9.19 on page 536 introduces a study examining the relationship between the number of friends an individual has on Facebook and grey matter density in the areas of the brain associated with
In Data 9.2 on page 540, we introduce the dataset Cereal, which has nutrition information on 30 breakfast cereals. Computer output is shown for a linear model to predict Calories in one cup of cereal
Data 9.1 on page 525 introduces the dataset InkjetPrinters, which includes information on all-in-one printers. Two of the variables are Price (the price of the printer in dollars) and CostColor
How well does a student€™s Verbal SAT score (on an 800-point scale) predict future college grade point average (on a four-point scale)? Computer output for this regression analysis is
In Exercise A.46 on page 153, we introduce a study about mating activity of water striders. The dataset is available as WaterStriders and includes the variables FemalesHiding, which gives the
The dataset OttawaSenators contains information on the number of points and the number of penalty minutes for 24 Ottawa Senators NHL hockey players. Computer output is shown for predicting the number
Exercise 9.41 gives output for a regression model to predict calories in a serving of breakfast cereal based on the number of grams of fiber in the serving. Use this output, together with any helpful
Exercise 9.45 gives output for a regression model to predict number of points for a hockey player based on the number of penalty minutes for the hockey player. Use this output, together with any
In Exercise 9.21, we see that the conditions are met for using the pH of a lake in Florida to predict the mercury level of fish in the lake. The data are given in FloridaLakes. Computer output is
Exercise 9.43 gives output for a regression model to predict grade point average in college based on score on the Verbal SAT exam. Use this output, together with any helpful summary statistics from
Consider a simple linear model for the number of hours of exercise students get (per week) based on the number of hours spent watching TV. Use the data in ExerciseHours to fit this model. Test the
In Exercise 9.25 we see that the conditions are met for fitting a linear model to predict life expectancy (LifeExpectancy) from the percentage of government expenditure spent on health care (Health)
The dataset HomesForSaleCA contains a random sample of 30 houses for sale in California. We are interested in whether we can use number of bathrooms Baths to predict number of bedrooms Beds in houses
Consider the data described in Exercise 9.52 on homes for sale in California and suppose that we are interested in predicting the Size (in thousands of square feet) for such homes.(a) What is the
Two intervals are given, A and B, for the same value of the explanatory variable. In each case:(a) Which interval is the confidence interval for the mean response? Which interval is the prediction
Two intervals are given, A and B, for the same value of the explanatory variable. In each case:(a) Which interval is the confidence interval for the mean response? Which interval is the prediction
Two intervals are given, A and B, for the same value of the explanatory variable. In each case:(a) Which interval is the confidence interval for the mean response? Which interval is the prediction
Two intervals are given, A and B, for the same value of the explanatory variable. In each case:(a) Which interval is the confidence interval for the mean response? Which interval is the prediction
The intervals given are for mice that eat 50% of their calories during the day:In Exercise 9.18 on page 535, we look at a model to predict weight gain (in grams) in mice based on the percent of
The intervals given are for mice that eat 10% of their calories during the day:In Exercise 9.18 on page 535, we look at a model to predict weight gain (in grams) in mice based on the percent of
The intervals given are for cereals with 10 grams of sugars:In Example 9.10 on page 540, we look at a model to predict the number of calories in a cup of breakfast cereal using the number of grams of
The intervals given are for cereals with 16 grams of sugars:In Example 9.10 on page 540, we look at a model to predict the number of calories in a cup of breakfast cereal using the number of grams of
People in real estate are interested in predicting the price of a house by the square footage, and predictions will vary based on geographic area. We look at predicting prices (in $1000s) of houses
In Exercise 9.25 on page 555, we consider a regression equation to predict life expectancy from percent of government expenditure on health care, using data for a sample of 50 countries in
Exercise 9.17 on page 535, we use the information in StudentSurvey to fit a linear model to use Verbal SAT score to predict a student€™s grade point average in college. The regression
Data 2.9 on page 103 introduces data on the approval rating of an incumbent US president and the margin of victory or defeat in the subsequent election (where negative numbers indicate the margin by
Hantavirus is carried by wild rodents and causes severe lung disease in humans. A recent study on the California Channel Islands found that increased prevalence of the virus was linked with greater
The FloridaLakes dataset, introduced in Data 2.4, includes data on 53 lakes in Florida. Figure 9.10 shows a scatterplot of Alkalinity (concentration of calcium carbonate in mg/L) and AvgMercury
The FloridaLakes dataset, introduced in Data 2.4, includes data on 53 lakes in Florida. Two of the variables recorded are pH (acidity of the lake water) and AvgMercury (average mercury level for a
In Exercise 9.19, we give computer output for a regression line to predict the number of Facebook friends a student will have, based on a normalized score of the grey matter density in the areas of
A recent study in Great Britain examines the relationship between the number of friends an individual has on Facebook and grey matter density in the areas of the brain associated with social
Data A.1 on page 136 introduces a study that examines the effect of light at night on weight gain in a sample of 27 mice observed over a fourweek period. The mice who had a light on at night gained
A scatterplot with regression line is shown in Figure 9.7 for a regression model using Verbal SAT score, VerbalSAT, to predict grade point average in college, GPA, using the data in StudentSurvey. We
The dataset NBAPlayers2011 is introduced on page 88 and contains information on many variables for players in the NBA (National Basketball Association) during the 2010€“11 season. The
A correlation matrix allows us to see lots of correlations at once, between many pairs of variables.Acorrelation matrix for several variables (Exercise, TV, Height, Weight, and GPA) in the
Test for a negative correlation; r = −0.41; n = 18Test the correlation, as indicated. Show all details of the test.
Test for evidence of a linear association; r = 0.28; n = 100Test the correlation, as indicated. Show all details of the test.
Test for evidence of a linear association; r = 0.28; n = 10Test the correlation, as indicated. Show all details of the test.
Test for a positive correlation; r = 0.35; n = 30Test the correlation, as indicated. Show all details of the test.
The model given by the output in Exercise 9.7, with n = 30.Exercise 9.7Find and interpret a 95% confidence interval for the slope of the model indicated. Coefficients: Estimate Std.Error t value Pr(>
The model given by the output in Exercise 9.5, with n = 24.Exercise 9.5Find and interpret a 95% confidence interval for the slope of the model indicated. The regression equation is Y = 89.4 - 8.20 X
Show some computer output for fitting simple linear models. State the value of the sample slope for each model and give the null and alternative hypotheses for testing if the slope in the population
Show some computer output for fitting simple linear models. State the value of the sample slope for each model and give the null and alternative hypotheses for testing if the slope in the population
Show some computer output for fitting simple linear models. State the value of the sample slope for each model and give the null and alternative hypotheses for testing if the slope in the population
Show some computer output for fitting simple linear models. State the value of the sample slope for each model and give the null and alternative hypotheses for testing if the slope in the population
Use the computer output (from different computer packages) to estimate the intercept Î²0, the slope Î²1, and to give the equation for the least squares line for the sample.
Use the computer output (from different computer packages) to estimate the intercept Î²0, the slope Î²1, and to give the equation for the least squares line for the sample.
Use the computer output (from different computer packages) to estimate the intercept Î²0, the slope Î²1, and to give the equation for the least squares line for the sample.
Use the computer output (from different computer packages) to estimate the intercept Î²0, the slope Î²1, and to give the equation for the least squares line for the sample.
Exercise 6.257 on page 424 introduces a study showing that exercise appears to offer some resiliency against stress, and Exercise 8.18 on page 507 follows up on this introduction. In the study, mice
Researchers hypothesized that the increased weight gain seen in mice with light at night might be caused by when the mice are eating. Computer output for the percentage of food consumed during the
Computer output showing body mass gain (in grams) for the mice after four weeks in each of the three light conditions is shown, along with the relevant ANOVA output. Which light conditions give
In Example 8.5 on page 500 we find evidence from the ANOVA of a difference in mean pulse rate among students depending on their award preference. The ANOVA table and summary statistics for pulse
The ANOVA table in Example 8.3 on page 496 for the SandwichAnts data indicates that there is a difference in mean number of ants among the three types of sandwich fillings. In Examples 8.8 and 8.9 we
Test for a difference in population means between groups B and D. Show all details of the test.Refer to the data with analysis shown in the following computer output: Level N Mean StDev A 86.833
Test for a difference in population means between groups A and B. Show all details of the test.Refer to the data with analysis shown in the following computer output: Level N Mean StDev A 86.833
Test for a difference in population means between groups A and D. Show all details of the test.Refer to the data with analysis shown in the following computer output: Level N Mean StDev A 86.833
Find a 95% confidence interval for the difference in the means of populations C and D.Refer to the data with analysis shown in the following computer output: Level N Mean StDev A 86.833 5.231 76.167
Is there sufficient evidence of a difference in the population means of the three groups? Justify your answer using specific value(s) from the output.Refer to the data with analysis shown in the
Two sets of sample data, A and B, are given. Without doing any calculations, indicate in which set of sample data, A or B, there is likely to be stronger evidence of a difference in the two
Find a 99% confidence interval for the mean of population A. Is 90 a plausible value for the population mean of group A?Refer to the data with analysis shown in the following computer output: Level N
What is the pooled standard deviation? What degrees of freedom are used in doing inferences for these means and differences in means?Refer to the data with analysis shown in the following computer
Is there evidence for a difference in the population means of the four groups? Justify your answer using specific value(s) from the output.Refer to the data with analysis shown in the following
Test for a difference in population means between groups A and C. Show all details of the test.Refer to the data with analysis shown in the following computer output: Level N Mean StDev 10.200 2.864
Find a 90% confidence interval for the difference in the means of populations B and C.Refer to the data with analysis shown in the following computer output: Level N Mean StDev 10.200 2.864 2.168 5
Find a 95% confidence interval for the mean of population A.Refer to the data with analysis shown in the following computer output: Level N Mean StDev 10.200 2.864 2.168 5 16.800 5 10.800 2.387
What is the pooled standard deviation? What degrees of freedom are used in doing inferences for these means and differences in means?Refer to the data with analysis shown in the following computer
Most fish use gills for respiration in water and researchers can observe how fast a fish’s gill cover beats to study ventilation, much like we might observe breathing rate for a person. Professor
In Example 8.5 on page 500 we see a comparison of mean pulse rates between students who prefer each of three different awards (Academy Award, Nobel Prize, Olympic gold medal). The ANOVA test shows
We have seen that light at night increases weight gain in mice and increases the percent of calories consumed when mice are normally sleeping. What effect does light at night have on glucose
Researchers hypothesized that the increased weight gain seen in mice with light at night might be caused by when the mice are eating. (As we have seen in the previous exercises, it is not caused by
In addition to monitoring weight gain, food consumed, and activity level, the study measured stress levels in the mice by measuring corticosterone levels in the blood (higher levels indicate more
Perhaps the mice with light at night in Exercise 8.24 are gaining more weight because they are eating more. Computer output is shown for average food consumption (in grams) during week 4 of the study
Perhaps the mice with light at night in Exercise 8.24 gain more weight because they are exercising less. The conditions for an ANOVA test are met and computer output is shown for testing the average
The mice in the study had body mass measured throughout the study. Computer output showing an analysis of variance table to test for a difference in mean body mass gain (in grams) after four weeks
The mice in the study had body mass measured throughout the study. Computer output showing body mass gain (in grams) after 4 weeks for each of the three light conditions is shown, and a dotplot of
Rotten Tomatoes is a website providing movie ratings and reviews. We have data on all 2011 Hollywood movies, although for this problem we€™ve removed movies classified as
Data 8.1 on page 492 describes an experiment to study how different sandwich fillings might affect the mean number of ants attracted to pieces of a sandwich. The students running this experiment also
Research shows that people adopting a dominant pose have reduced levels of stress and feel more powerful than those adopting a submissive pose. Furthermore, it is known that if people feel more
In addition to the behavioral effects of stress, the researchers studied several immunological effects of stress. One measure studied is stress-induced decline in FosB positive cells in the
One measure of mouse anxiety is amount of time spent immobile; mice tend to freeze when they are scared. The amount of time (in seconds) spent immobile during one trial is recorded for all the mice
One measure of mouse anxiety is amount of time hiding in a dark compartment, with mice that are more anxious spending more time in darkness. The amount of time (in seconds) spent in darkness during
Studies have shown that heating the scrotum by just 1C can reduce sperm count and sperm quality, with long-term consequences. Exercise 2.101 on page 87 introduces a study indicating that males
Color affects us in many ways. For example, Exercise C.51 on page 452 describes an experiment showing that the color red appears to enhance men’s attraction to women. Previous studies have also
A recent study examined the impact of a mother’s voice on stress levels in young girls. The study included 68 girls ages 7 to 12 who reported good relationships with their mothers. Each girl gave a
Some computer output for an analysis of variance test to compare means is given.(a) How many groups are there?(b) State the null and alternative hypotheses.(c) What is the p-value?(d) Give the
Some computer output for an analysis of variance test to compare means is given.(a) How many groups are there?(b) State the null and alternative hypotheses.(c) What is the p-value?(d) Give the
Some computer output for an analysis of variance test to compare means is given.(a) How many groups are there?(b) State the null and alternative hypotheses.(c) What is the p-value?(d) Give the
Some computer output for an analysis of variance test to compare means is given.(a) How many groups are there?(b) State the null and alternative hypotheses.(c) What is the p-value?(d) Give the
We give sample sizes for the groups in a dataset and an outline of an analysis of variance table with some information on the sums of squares. Fill in the missing parts of the table. What is the
We give sample sizes for the groups in a dataset and an outline of an analysis of variance table with some information on the sums of squares. Fill in the missing parts of the table. What is the
We give sample sizes for the groups in a dataset and an outline of an analysis of variance table with some information on the sums of squares. Fill in the missing parts of the table. What is the
We give sample sizes for the groups in a dataset and an outline of an analysis of variance table with some information on the sums of squares. Fill in the missing parts of the table. What is the

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