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# Introduction to Statistics ST 311

NCS

GPA 3.79

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This 4 page Study Guide was uploaded by Jordane Kemmer on Thursday October 15, 2015. The Study Guide belongs to ST 311 at North Carolina State University taught by Staff in Fall. Since its upload, it has received 42 views. For similar materials see /class/223979/st-311-north-carolina-state-university in Statistics at North Carolina State University.

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Date Created: 10/15/15

Webossign Homework 2 Study Guide Learning Objectives Summarizing with Graphics 1 Given a set of raw data identify the individuals and the variables 2 Given a variable determine whether it is categorical or quantitative 3 List which graphical methods pie charts histograms etc are appropriate for categorical and for quantitative variables 4 Given a set of categorical data create bar charts and pie graphs with appropriate software 5 Given a bar chart or pie chart determine the number of individuals or percentage of individuals for each category 6 Given a histogram determine the number of individuals in a particular range 7 Given a set of raw data create a histogram or stemplot by hand or with appropriate software 8 Given a histogram or stemplot describe the distribution s shape skewed left skewed right symmetric or multimodal center and spread 9 Given a histogram or stemplot identify values that would be considered outliers 10 Given a graphical summary propose an explanation of the distribution of the data 11 Given a description of a variable predict what shape the histogram of that variable would take Relevant Reading Chapter 2 pgs 1336 not including boxplots and dotplots Suggested Practice Problems 21 211 222 230 237 239 240a Webossign Homework 10 Study Guide Learning Objectives Correlation Scatterplots Introduction to Regression 1 Given a study distinguish between explanatory and response variables 2 Given a set of raw data make a scatterplot by hand or using software 3 Given a scatterplot identify patterns such as positive and negative associations nonlinear patterns and outliers 4 Given a correlation coefficient determine if it is legitimate That is determine if its value is between 1 and 1 5 Given two variables and their correlation coefficient describe how the correlation changes if the units of either variable are changed 6 Given two variables x and y describe the correlation you would expect to find between x and y 7 Match given scatterplots with possible values of the correlation coefficient 8 Explain the relationship between the slope of the regression line and the correlation coefficient 9 Given the least squares line and a value of x calculate the predicted value of y 10 Identify situations in which it is not appropriate to summarize the relationship between variables using a least squares line 11 Given standard regression output interpret the estimated regression coefficients and the r2 value 12 Given a study explain in context that the regression method is used to estimate the average value of y when you know x and that individual values will vary around the predicted value 13 Given a study interpret the value of the square of the correlation coefficient That is explain that it measures the proportion of the variance of one variable that can be explained by straightline dependence on the other variable 14 Given a least squares line and an observation xy calculate the residual for that observation Relevant Reading Chapter 2 pg 18 Chapter 4 pgs 119123 Chapter 5 pgs151171178180 Suggested practice problems 215 44 51 52 53 57 59 511 514 522 523 526 529 531 568 Webossign Homework 6 Study Guide Learning Objectives Sampling Distributions for Proportions l 2 3 4 Given a population proportionp calculate the standard deviation of the sample proportion f7 using the formula pl pn Given a study describe the sampling distribution of the sample proportion f7 as specifically as possible This involves stating whether this distribution is at least approximately normal Given a population proportion p sample size n and sample proportion f7 calculate the standardized value zscore for a sample proportion Calculate the standard error of the sample proportion f7 using the formula f7l j7n Con dence Intervals for Proportions l 2 4 gt1 Given a study describe what role statistical inference plays in terms of the population and sample Given a study determine whether the study meets the conditions under which inferences on a population proportion may be performed For example requiring a simple random sample Given a confidence level C determine the critical value z from the standard normal table needed to construct the confidence interval Explain that confidence intervals are random quantities which vary from sample to sample and that they may miss the true population parameter and explain that the confidence level is that proportion of possible samples for which the confidence interval will capture the true parameter Construct a confidence interval for a population proportion using the formula izgtXlt n Given a study interpret the result of a confidence interval in the context of the problem Given a study and confidence interval for the population proportion describe how the following will affect the width of the confidence interval a Increasing the sample size b Increasing the confidence level C Relevant Readings Chapter 3 pgs 7579 Chapter 9 pgs 332333 SD Module 1 369370 Chapter 10 pgs 401423 Suggested Practice Problems 99 911 924ab 933 935 942 985 9132 104 107 109 1011 10161019 1020 10241029 1032 10351038

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