[SOLVED] State the four conditions required for making

> Presuming that the assumptions for regression inferences are met, decide at the specified significance level whether the data provide sufficient evidence to conclude that the predictor variable is useful for predicting the response variable. Following ar

> Earlier in this section, we considered the political party affiliations of the students in Professor Weiss’s introductory statistics course. The class levels of those students are as follows, where Fr, So, Jr, and Sr denote freshman, sophomore, junior, a

> a. Decide, at the 10% significance level, whether the data provide sufficient evidence to conclude that x is useful for predicting y. b. Find a 90% confidence interval for the slope of the population regression line. yˆ = 2.875 − 0.625x

> a. Decide, at the 10% significance level, whether the data provide sufficient evidence to conclude that x is useful for predicting y. b. Find a 90% confidence interval for the slope of the population regression line. yˆ = 1.75 + 0.25x

> a. Decide, at the 10% significance level, whether the data provide sufficient evidence to conclude that x is useful for predicting y. b. Find a 90% confidence interval for the slope of the population regression line. yˆ = 1 + 2x

> a. Decide, at the 10% significance level, whether the data provide sufficient evidence to conclude that x is useful for predicting y. b. Find a 90% confidence interval for the slope of the population regression line. yˆ = 9 − 2x

> a. Decide, at the 10% significance level, whether the data provide sufficient evidence to conclude that x is useful for predicting y. b. Find a 90% confidence interval for the slope of the population regression line. yˆ = 5 − x

> a. Decide, at the 10% significance level, whether the data provide sufficient evidence to conclude that x is useful for predicting y. b. Find a 90% confidence interval for the slope of the population regression line. yˆ = 14 − 3x

> a. Decide, at the 10% significance level, whether the data provide sufficient evidence to conclude that x is useful for predicting y. b. Find a 90% confidence interval for the slope of the population regression line. yˆ = −3 + 2x

> a. Decide, at the 10% significance level, whether the data provide sufficient evidence to conclude that x is useful for predicting y. b. Find a 90% confidence interval for the slope of the population regression line. yˆ = 1 + 2x

> Assume that the variables under consideration satisfy the assumptions for regression inferences. Based on a sample of data points, what is the best estimate of the population regression line?

> a. Decide, at the 10% significance level, whether the data provide sufficient evidence to conclude that x is useful for predicting y. b. Find a 90% confidence interval for the slope of the population regression line. yˆ = 1 − 2x

> The following table provides data on college for the students in one section of the course Introduction to Computer Science during one semester at Arizona State University. In the table, we use the abbreviations BUS for Business, ENG for Engineering and

> In the paper “Cardiac-Resynchronization Therapy with or without an Implantable Defibrillator in Advanced Chronic Heart Failure” (New England Journal of Medicine, Vol. 350, pp. 2140–2150), M. Bristow et al. reported the results of a study of methods for t

> a. Decide, at the 10% significance level, whether the data provide sufficient evidence to conclude that x is useful for predicting y. b. Find a 90% confidence interval for the slope of the population regression line. yˆ = 2 + x

> In this section, we used the statistic b1 as a basis for conducting a hypothesis test to decide whether a regression equation is useful for prediction. Identify two other statistics that can be used as a basis for such a test.

> Consider the standardized variable a. Identify its distribution. b. Why can’t it be used as the test statistic for a hypothesis test concerning β1? c. What statistic is used? What is the distribution of that statistic?

> For two variables satisfying Assumptions 1–3 for regression inferences, the population regression equation is y = 20 − 3.5x. For samples of size 10 and given values of the predictor variable, the distribution of slopes of all possible sample regression l

> Explain why the predictor variable is useless as a predictor of the response variable if the slope of the population regression line is 0.

> The ability to estimate the volume of a tree based on a simple measurement, such as the diameter of the tree, is important to the lumber industry, ecologists, and conservationists. Data on volume, in cubic feet, and diameter at breast height, in inches,

> J. Greene and J. Touchstone conducted a study on the relationship between the estriol levels of pregnant women and the birth weights of their children. Their findings, “Urinary Tract Estriol: An Index of Placental Function,” were published in the America

> The magazine Consumer Reports publishes information on automobile gas mileage and variables that affect gas mileage. In one issue, data on gas mileage (in mpg) and engine displacement (in liters, L) were published for 121 vehicles. Those data are stored

> Polychlorinated biphenyls (PCBs), industrial pollutants, are known to be carcinogens and a great danger to natural ecosystems. As a result of several studies, PCB production was banned in the United States in 1979 and by the Stockholm Convention on Persi

> Assume that the variables under consideration satisfy the assumptions for regression inferences. What statistic is used to estimate a. the y-intercept of the population regression line? b. the slope of the population regression line? c. the common condit

> From NCAA.com–the official Web site for NCAA sports—we obtained the National Collegiate Athletic Association wrestling champions for the years 1989–2013 in the document “Championship History.” They are displayed in the following table.

> The National Oceanic and Atmospheric Administration publishes temperature information of cities around the world in Climates of the World. A random sample of 50 cities gave the data on average high and low temperatures in January shown on the WeissStats

> On the WeissStats site are data on home size (in square feet) and assessed value (in thousands of dollars) for the same homes as in Exercise 14.37. a. obtain and interpret the standard error of the estimate. b. obtain a residual plot and a normal probabi

> The document Arizona Residential Property Valuation System, published by the Arizona Department of Revenue, describes how county assessors use computerized systems to value single-family residential properties for property tax purposes. On the WeissStats

> Box Office Mojo collects and posts data on movie grosses. For a random sample of 50 movies, we obtained both the domestic (U.S.) and overseas grosses, in millions of dollars. The data are presented on the WeissStats site. a. obtain and interpret the stan

> The Information Please Almanac provides data on the ages at inauguration and of death for the presidents of the United States. We give those data on the WeissStats site for those presidents who are not still living at the time of this writing. a. obtain

> How important are birdies (a score of one under par on a given hole) in determining the final total score of a woman golfer? From the U.S. Women’s Open website, we obtained data on number of birdies during a tournament and final score for 63 women golfer

> Use the data on total hours studied over 2 weeks and test score at the end of the 2 weeks from Exercise 14.27. a. compute the standard error of the estimate and interpret your answer. b. interpret your result from part (a) if the assumptions for regressi

> Use the data on age of fetuses and length of crown-rump from Exercise 14.26. a. compute the standard error of the estimate and interpret your answer. b. interpret your result from part (a) if the assumptions for regression inferences hold. a. compute the

> Use the data on plant weight and quantity of volatile emissions from Exercise 14.25. a. compute the standard error of the estimate and interpret your answer. b. interpret your result from part (a) if the assumptions for regression inferences hold. a. com

> Use the size and price data for custom homes from Exercise 14.24. a. compute the standard error of the estimate and interpret your answer. b. interpret your result from part (a) if the assumptions for regression inferences hold. a. compute the standard e

> From the TvbytheNumbers website, we obtained the networks for the top 20 primetime broadcast TV shows by total viewership for the week ending August 18, 2013.

> Assume that the variables under consideration satisfy the assumptions for regression inferences. Fill in the blanks. a. The line y = β0 + β1x is called the . b. The common conditional standard deviation of the response variable is denoted . c. For x = 6,

> Use the age and price data for Corvettes from Exercise 14.23. a. compute the standard error of the estimate and interpret your answer. b. interpret your result from part (a) if the assumptions for regression inferences hold. a. compute the standard error

> Use the data on percentage of investments in energy securities and tax efficiency from Exercise 14.22. a. compute the standard error of the estimate and interpret your answer. b. interpret your result from part (a) if the assumptions for regression infer

> An instructor at Arizona State University asked a random sample of eight students to record their study times in a beginning calculus course. She then made a table for total hours studied (x) over 2 weeks and test score (y) at the end of the 2 weeks. Her

> In the article “The Human Vomeronasal Organ. Part II: Prenatal Development” (Journal of Anatomy, Vol. 197, Issue 3, pp. 421–436), T. Smith and K. Bhatnagar examined the controversial issue of the human vomeronasal organ, regarding its structure, function

> Plants emit gases that trigger the ripening of fruit, attract pollinators, and cue other physiological responses. N. Agelopolous et al. examined factors that affect the emission of volatile compounds by the potato plant Solanum tuberosum and published th

> Hanna Properties specializes in custom home resales in the Equestrian Estates, an exclusive subdivision in Phoenix, Arizona. A random sample of nine custom homes currently listed for sale provided the following information on size and price. Here, x deno

> The Kelley Blue Book provides information on wholesale and retail prices of cars. Following are age and price data for 10 randomly selected Corvettes between 1 and 6 years old. Here, x denotes age, in years, and y denotes price, in hundreds of dollars.

> Tax efficiency is a measure—ranging from 0 to 100—of how much tax due to capital gains stock or mutual funds investors pay on their investments each year; the higher the tax efficiency, the lower is the tax. The paper “At the Mercy of the Manager” (Finan

> We repeat the data and provide the sample regression equations. a. Determine the standard error of the estimate. b. Construct a residual plot. c. Construct a normal probability plot of the residuals. yˆ = 2.875 − 0.625x

> We have presented simple qualitative data set for practicing the concepts. For data set, a. determine a frequency distribution. b. obtain a relative-frequency distribution. c. draw a pie chart. d. construct a bar chart.

> We repeat the data and provide the sample regression equations. a. Determine the standard error of the estimate. b. Construct a residual plot. c. Construct a normal probability plot of the residuals. yˆ = 1.75 + 0.25x

> We repeat the data and provide the sample regression equations. a. Determine the standard error of the estimate. b. Construct a residual plot. c. Construct a normal probability plot of the residuals. yˆ = 1 + 2x

> We repeat the data and provide the sample regression equations. a. Determine the standard error of the estimate. b. Construct a residual plot. c. Construct a normal probability plot of the residuals. yˆ = 9 − 2x

> We repeat the data and provide the sample regression equations. a. Determine the standard error of the estimate. b. Construct a residual plot. c. Construct a normal probability plot of the residuals. yˆ = 5 − x

> We repeat the data and provide the sample regression equations. a. Determine the standard error of the estimate. b. Construct a residual plot. c. Construct a normal probability plot of the residuals. yˆ = 14 − 3x

> We repeat the data and provide the sample regression equations. a. Determine the standard error of the estimate. b. Construct a residual plot. c. Construct a normal probability plot of the residuals. yˆ = −3 + 2x

> The data from Exercise 14.80 for age and body fat of 18 randomly selected adults are on the WeissStats site. a. Do the data provide sufficient evidence to conclude that, for adults, age and percentage of body fat are positively linearly correlated? b. Re

> The data from Exercise 14.43 for volume, in cubic feet, and diameter at breast height, in inches, of 70 shortleaf pines are on the WeissStats site. Do the data provide sufficient evidence to conclude that diameter at breast height and volume are positive

> The data from Exercise 14.42 for estriol levels of pregnant women and birth weights of their children are on the WeissStats site. Do the data provide sufficient evidence to conclude that estriol level and birth weight are positively linearly correlated?

> We have presented simple qualitative data set for practicing the concepts. For data set, a. determine a frequency distribution. b. obtain a relative-frequency distribution. c. draw a pie chart. d. construct a bar chart.

> The data from Exercise 14.41 for gas mileage and engine displacement of 121 vehicles are on the WeissStats site. Do the data provide sufficient evidence to conclude that engine displacement and gas mileage are negatively linearly correlated?

> The data from Exercise 14.40 for shell thickness and concentration of PCBs of 60 Anacapa pelican eggs are on the WeissStats site. Do the data provide sufficient evidence to conclude that concentration of PCBs and shell thickness are linearly correlated f

> We repeat the data and provide the sample regression equations. a. Determine the standard error of the estimate. b. Construct a residual plot. c. Construct a normal probability plot of the residuals. yˆ = 1 + 2x

> The data for average high and low temperatures in January of a random sample of 50 cities are on the WeissStats site. Do the data provide sufficient evidence to conclude that, for cities, average high and low temperatures in January are linearly correlat

> The data for home size (in square feet) and assessed value (in thousands of dollars) for the same homes as in Exercise 14.137 are on the WeissStats site. Do the data provide sufficient evidence to conclude that, for homes in this particular area, home si

> The data for lot size (in acres) and assessed value (in thousands of dollars) of a sample of homes in a particular area are on the WeissStats site. Do the data provide sufficient evidence to conclude that, for homes in this particular area, lot size and

> The data on domestic and overseas grosses for a random sample of 50 movies are on the WeissStats site. Do the data provide sufficient evidence to conclude that domestic and overseas grosses are positively linearly correlated?

> The data from Exercise 14.35 for the ages at inauguration and of death of the presidents of the United States are on the WeissStats site. Do the data provide sufficient evidence to conclude that, for U.S. presidents, age at inauguration and age at death

> The data for number of birdies during a tournament and final score of 63 women golfers are on the WeissStats site. Do the data provide sufficient evidence to conclude that, for women golfers, number of birdies and score are negatively linearly correlated

> Following are the data on total hours studied over 2 weeks and test score at the end of the 2 weeks. a. At the 1% significance level, do the data provide sufficient evidence to conclude that a negative linear correlation exists between study time and tes

> We have presented simple qualitative data set for practicing the concepts. For data set, a. determine a frequency distribution. b. obtain a relative-frequency distribution. c. draw a pie chart. d. construct a bar chart.

> Following are the data on age of fetuses and length of crown-rump. At the 10% significance level, do the data provide sufficient evidence to conclude that age and crown-rump length are linearly correlated?

> Following are the data on plant weight and quantity of volatile emissions. Do the data suggest that, for the potato plant Solanum tuberosum, weight and quantity of volatile emissions are linearly correlated? Use α = 0.05.

> Following are the size and price data for custom homes. At the 0.5% significance level, do the data provide sufficient evidence to conclude that, for custom homes in the Equestrian Estates, size and price are positively linearly correlated?

> We repeat the data and provide the sample regression equations. a. Determine the standard error of the estimate. b. Construct a residual plot. c. Construct a normal probability plot of the residuals. yˆ = 1 – 2x

> Following are the age and price data for Corvettes. At the 5% level of significance, do the data provide sufficient evidence to conclude that age and price of Corvettes are negatively linearly correlated?

> Following are the data on percentage of investments in energy securities and tax efficiency. At the 2.5% significance level, do the data provide sufficient evidence to conclude that percentage of investments in energy securities and tax efficiency are ne

> We repeat the data and specify an alternative hypothesis for a correlation t-test. For each exercise, decide, at the 10% significance level, whether the data provide sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis

> We have presented simple qualitative data set for practicing the concepts. For data set, a. determine a frequency distribution. b. obtain a relative-frequency distribution. c. draw a pie chart. d. construct a bar chart.

> We repeat the data and specify an alternative hypothesis for a correlation t-test. For each exercise, decide, at the 10% significance level, whether the data provide sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis

> We repeat the data and provide the sample regression equations. a. Determine the standard error of the estimate. b. Construct a residual plot. c. Construct a normal probability plot of the residuals. yˆ = 2 + x

> We repeat the data and specify an alternative hypothesis for a correlation t-test. For each exercise, decide, at the 10% significance level, whether the data provide sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis

> If two variables are linearly correlated, one of the variables tends to decrease as the other increases.

> If two variables are positively linearly correlated, one of the variables tends to increase as the other.

> If ρ = 0, then the two variables under consideration are linearly.

> We have presented simple qualitative data set for practicing the concepts. For data set, a. determine a frequency distribution. b. obtain a relative-frequency distribution. c. draw a pie chart. d. construct a bar chart.

> Is ρ a parameter or a statistic? What about r? Explain your answers.

> Suppose that, for a sample of pairs of observations from two variables, the linear correlation coefficient, r, is negative. Does this result necessarily imply that the variables are negatively linearly correlated? Explain.

> Suppose that, for a sample of pairs of observations from two variables, the linear correlation coefficient, r, is positive. Does this result necessarily imply that the variables are positively linearly correlated? Explain.

> Identify the statistic used to estimate the population linear correlation coefficient.

> Refer to the confidence interval and prediction interval formulas. a. Explain why, for a fixed confidence level, the margin of error for the estimate of the conditional mean of the response variable increases as the value of the predictor variable moves

> Figure shows three residual plots and a normal probability plot of residuals. For each part, decide whether the graph suggests violation of one or more of the assumptions for regression inferences. Explain your answers.

> Refer to the data on age and price of a sample of 11 Orions. a. For each age between 2 and 7 years, obtain a 95% confidence interval for the mean price of all Orions of that age. Plot the confidence intervals against age and discuss your results. b. Dete

> The data for age and body fat of 18 randomly selected adults are on the WeissStats site. Specified value of the predictor variable: 30 years. Use the technology of your choice to do the following tasks. a. Decide whether you can reasonably apply the cond

> The data for volume, in cubic feet, and diameter at breast height, in inches, of 70 shortleaf pines are on the WeissStats site. Specified value of the predictor variable: 11 inches. Use the technology of your choice to do the following tasks. a. Decide w

Question: State the four conditions required for making