[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-314882-105":59,"doc-detail-314882-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","sample-examination-one-answers","Sample Examination One - Answers","","Sample Examination One answers provide step-by-step solutions for a set of statistics and probability questions. The explanations cover interpreting regression slope, residual properties, skewness and relationships among mean/median/mode, linearization of exponential models via logarithms, and evaluating R². Additional items address confidence intervals, standard deviation behavior, hypothesis testing and p-values, binomial acceptance probabilities, contingency table calculations, sampling definitions, interquartile range interpretation, significance levels, chi-square association testing, and normal-distribution bounds with two-tailed reasoning.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/sample-examination-one-answers/314882/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/sample-examination-one-answers/314882.png","ImageObject",300,407,{"name":92,"@type":93},"Nguyễn Văn Học","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-05","2026-09-20",true,{"@type":102,"interactionType":103,"userInteractionCount":46},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How is the slope interpreted in the regression context described in the first answer?","Question",{"text":112,"@type":113},"Slope is defined as the change in the dependent variable over change in the independent variable. A slope of -3.63 is interpreted as an estimated drop of 3.63 deaths per one year.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What does R² represent in the provided regression answer?",{"text":117,"@type":113},"R² is the percent variation in y explained by the least-squares regression of y on x. The answer states R² = 68.9% (about 69%).",{"name":119,"@type":110,"acceptedAnswer":120},"How is the residual computed in the answer for the final exam result question?",{"text":121,"@type":113},"The residual equals observed minus expected. The solution computes expected from the least-squares equation, then subtracts expected from the observed value.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},314882,1789902061,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":46,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":34,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":129,"read_time":143,"preview_page_count":4},1374402739827,"https://ap-avatar.wpscdn.com/avatar/14000c97e7351f1a627?x-image-process=image/resize,m_fixed,w_180,h_180&k=1787885694763230660","# Sample Examination One-Answers\n\nSection I  \n   \n1.(3)Slope is defined to be change in the dependent variable over change in theindependent variable.In this case the dependent variabie is the number of heart diseasedeaths per 100,000 people and the independent variable is years.A slope of-3.63mustbe interpreted as an estimated drop of 3.63 deaths per one year.  \n2.(A)The sum of the residuals is always 0.Ifr²=0,thenr=0.Using the formula for the  \n3.(C)This is a right skewed distribution,which means the mean is pulled to the right.Themean must be greater than the median.The mode is not located in the center of thedistribution and therefore must be less than the median  \n4.(D)To linearize an exponential function,you take the log of the y values.Ify=ab⁸then taking the log of the y values will yield:logy=log(ab)logy=loga+logblogy=loga+xlogb.  \nThis creates a linear model where loga is the y intercept and logb is the slope of theline.The transformed y variable(logy)is the new dependent variable while x remainsthe independent variable  \nSy=2.302 and sx=3.61.The dependent variable y is height because height depends on  \n6.(C)Ther²is the percent variation inyexplained by the least-squares regression ofyonx.Looking at the computer printout we find that R²=68.9%.This is approximately69%,  \n7.(B)The residual=observed---expected.The observed final exam result is 85.Theexpected is found by substituting 80,the observed final exam score,for x in the leastsquare equation.This would give us:25+0.7(80)=81.The residual is found bysubtracting the expected from the observed.This gives us:85-81=4  \n8.(E)Find b by substituting 2 for x and 5 for y into equation ý=3x+b and solving for b.This will give youb=-1.You also know that y=mx+b.That gives us y=3x-1.  \n9.(C)By definition of confidence interval,a level C confidence interval for a parameterθ is an interval computed from sample data by a method that has probability C ofproducing an interval containing the true value ofθ.  \n10.(B)The standard deviation is smaller as you get more values centered about the mean.  \n11.(E)They are all symmetric and therefore all will have the mean equal to the median.  \n12.(D)The trade off for more confidence is a wider interval.The formula for a confidence  \nFor greater values of C(your confidence)you get larger values of t.This creates wider intervals.  \n13.(B)The area under the curve greater than z=1.37 is 0.0853.We can get this answer bylooking up z=1.37,getting 0.9147 and subtracting from I to get 0.0853.Using theTI-83 calculator,we can get the answer by using 2nd DISTR normalcdf(1.37,1E16)which again gives us 0.0853.We must double this result because this is a two tailedtest.We get the answer to be0.1706,or calculator rounding yields 0.1707.  \n14.(C)The formula for the mean is:  \n.If we multiply each of the x values by n we get:  \nThe formula for the variance:If we multiply each term by n we get:The variance is multiplied by n²  \n15.(E)I and Ill are true.The null and altemative hypothesis for this test would be asfollows:  \nH₀:p=0.5  \nHa:p>0.5  \nFor small p-values,we reject the null hypothesis.From our printout we get pis 0.0044.At the 0.01 level of significance we reject the null hypothesis and conclude that thereis evidence to belive the population proportion is larger than 50%.This would indicatestatement I is true.Statement IIl is the definition of a p-value  \nfor larger values of n.will get smale.Statement II comes from the Central LimitTheorem.  \n17.(D)The lot willbe accepted if at least 2 out of 3 items are perfect.We will use thebinomial formula which is:nCk(p)'(1-p)”一*,where p=0.8,n=3 and k=2,3.P(2 perfect)=3C2(0.8)²(0.2)=0.384 and P(3perfect)=;C₃(0.8)³(0.2)°=0.512Therefore the probability that at least 2 are perfect is 0.384+0.512=0.896OR  \nUsing the TI-83 graphing calculator:  \nUse:2distribution;A:binomcdf (3,0.8,1).Then do 1-2 ans.This is the same assubtracting the sum of P(0 perfect)and P(1 perfect)from 1.  \n18.(B)Row total×Column total÷Grandtotal→73×","cbCaitcdbcPXpgwu","https://ap.wps.com/l/cbCaitcdbcPXpgwu","pdf",384377,"English","# Section I\n## Question Answers","[{\"question\":\"How is the slope interpreted in the regression context described in the first answer?\",\"answer\":\"Slope is defined as the change in the dependent variable over change in the independent variable. A slope of -3.63 is interpreted as an estimated drop of 3.63 deaths per one year.\"},{\"question\":\"What does R² represent in the provided regression answer?\",\"answer\":\"R² is the percent variation in y explained by the least-squares regression of y on x. The answer states R² = 68.9% (about 69%).\"},{\"question\":\"How is the residual computed in the answer for the final exam result question?\",\"answer\":\"The residual equals observed minus expected. The solution computes expected from the least-squares equation, then subtracts expected from the observed value.\"}]","Sample Examination One - Answers | PDF",18]