Name_________________ N6208 Assignment 9 Chapter 9 Correlation and Simple Regression 1. Given the following circumstances, determine whether the calculated values of r are statistically significant: a) r = .29, N = 35, = .01, two-tailed b) r = .50, N = 15, = .05, two-tailed c) r = .12, N = 500, = .05, two-tailed d) r = .55, N = 12, = .05, one-tailed e) r = .44, N = 26, = .01, one-tailed 2. For each correlation coefficient below, calculate what proportion of variance is shared by the two correlated variables: a) r = .76 b) r = .33 c) r = .91 d) r = .14 3. In a random sample of 100 people, the correlation between amount of daily exercise and weight was found to be -.21. What would be the likely effect on the absolute value of the correlation coefficient under the following circumstances? (Hint: would r be greater or smaller? Why?) a. The sample is restricted to people who weighed less than 180 pounds b. The sample is restricted to people who get virtually no daily exercise versus those who exercise at least 30 minutes a day. c. The mean sample weight is 150 pounds, and one person is added to the sample who weighs 275 pounds. 4. A researcher studying the relationship between maternal age and length of breastfeeding in a sample of 75 primiparas found a correlation of .19, which was not statistically significant at the .05 level. What was the estimated power of the statistical test? Conversely, what was the risk that a Type II error was committed? 5. Assuming in question 4 that .19 is a good estimation of the population correlation, what sample size would be needed in a replication study to achieve power = .80 at = .05? 6. For this exercise, you will be using the SPSS dataset Polit2SetA. Begin by computing a correlation matrix for four variables using Analyze Correlate Bivariate. Move the following four variables into the slot for Variables: the woman's age at first birth (age1bir), highest grade completed (higrade), number of hours worked per week, among women who were employed (workweek), and family income in the prior month (income). Check to make sure the following options are selected, as they usually are because they are the defaults: under Correlation Coefficients, Pearson; under Test of Significance, TwoTailed, and Flag significant correlations. Click on the Options pushbutton, and click the option to obtain means and SDs for all variables. Also, select Exclude cases pair-wise as the Missing Values option. Then click Continue and OK, and answer the following questions: a. What is the range of Ns for the four variables in this analysis? b. What is the highest correlation coefficient in the matrix? Is it statistically significantand, if so, at what level? c. What is the weakest correlation coefficient in the matrix? Is it statistically significantand, if so, at what level? d. What percent of variance does age at first birth share with highest grade completed? What percent of variance does weekly hours worked share with household in come? e. Attach the SPSS output. 7. Run a simple regression between family income (income), which we will use as the Y or dependent variable, and number of hours worked (workweek), which we will use as the X or predictor variable. You can do this through Analyze Regression Linear. Move income into the slot for Dependent Variable and workweek into the slot for Independent Variable. Click the Statistics pushbutton and make sure the following options are selected: Estimates, Confidence Intervals, and Model fit; then click Continue. (We do not have to run Descriptives because we already did this earlier in Exercises 6.) Then click OK on the main dialog box and use the output to answer the following questions: a. What is the value of r2 and adjusted r2? b. What is the regression sum of squares and the total sum of squares in this analysis? What is the value of SSRegression divided by SSTotal? c. What are the intercept constant and the slope in this regression? (a and b) d. What is the regression equation for predicting new values of family income? e. Using the regression equation, what is the predicted monthly family income for women working 35 hours per week? f. Attach SPSS output. $FL2@(#) SPSS DATA FILE MS Windows 16.0.1 ####+####################Y@17 Jun 1009:00:03 ###########################ID ####Identification Number ########################AGE %###Respondent's age at time of interview ########################AGE1BIR ####Age at first birth ########################RACETHN ####Race/ethnicity #######@###### @########################EDUCATN ####Educational attainment #######@########################HIGRADE ####Highest school grade completed #####W@#####X@########################WORKNOW ####Currently employed? #######@####################WORKWEEK$###Hours worked per week in current job##### @#####0@########################MARITAL ####Current marital status #######@###### @########################HHSIZE -###Total # people living in household past month #####@X@########################KIDSHH )#### of R's children living in HH past month ########################AGEYOUNG&###Age of youngest child (years, rounded) ########################ROOMS ###No. of rooms in HH-not incl bath#####@X@#####X@########################EVICTED ####Ever evicted in past 12 mos?#######@########################SHELTER 0###Ever lived in emergency housing shelter-pst 12m#######@########################HOMELESS####Ever homeless past 12 mos #######@########################MOVES ###Total # of times R moved past yr#####@X@#####X@########################NABRQUAL0###Neighborhood quality as place to live/raise kids####################CASHWELF####Received cash welfare-past mo #######@###### @########################FOODSTAM####Received Food Stamps-past mo#######@###### @########################EMERGFD *###Received emergency food assistance-past mo #######@###### @########################INCOME &###Family income prior month, all sources ########################POVERTY ####Poverty status ########################FOODSCOR####Food Insecurity Scale score ########################UTILCUT *###Utilities shut off b/c could not pay bill? #######@###### @########################LEAKROOF####Home has leaky roof or ceiling? #######@###### @########################BADPLUMB$###Home has plumbing that doesn't work?#######@###### @########################BRKNWIND####Home has broken windows?#######@###### @########################ELCPROBS####Home has electrical problems? #######@###### @########################VERMIN ####Home has vermin or insects? #######@###### @########################NOHEAT '###Home has heating sys that doesn't work? #######@###### @########################BADSTOVE&###Home has stove or refrig doesn't work? #######@###### @########################HOUSPROB####Number of housing problems ######"@########################MEDCARE 7###Didn't get medical care 1+ time past yr b/c no $ or ins #######@###### @########################DENTCARE3###Didn't get dental care 1+ time past yr b/c no $/ins #######@###### @########################UNMET $###Unmet medical or dental need past yr####################RESPROB /###Had trouble finding good place to livepast yr #######@###### @####################BILLCOLL$###Hassled by bill collectors-past year#######@###### @####################ROBBED "###Robbed, mugged, attacked past year #######@###### @####################VIOLCRIM.###R or her child witnessed violent crime-past yr #######@###### @####################BADNABE -###Has neighbors who give R or children problems #######@###### @####################GANGS &###Gang violence in neighborhood-past yr #######@###### @########################SATOVRL )###Overall satisfaction, material well-being ##############?#Black, not Hispanic #######@#Hispanic #######@#White, not Hispanic #######@#Other #######@#Refused###### @#DK ##########################?#No high school diploma #######@#Diploma or GED #######@ AA degree #######@ BA degree #######@#Refused#########################W@#Refused#####X@ Don't know #############################No ######?#Yes #######@#Refused######################################### @#Varies #####(@#Refused#####0@ Don't know ##########################?#Married#######@ Separated #######@#Divorced #######@#Widowed#######@Never married #######@#Refused###### @ Don't know ######## ################@X@#Refused######## ################@X@#Refused#####X@ Don't know Don't know ########################@X@#Refused#####X@ ##########################?#Awful #######@ Not too good #######@#Fair #######@#Good #######@ Excellent #############################No ######?#Yes #######@#Refused###### @#DK ######################################## ###"#####################?Below poverty #######@Above poverty ##########################?#Food secure #######@#Insecure, no hunger #######@#Insecure, with hunger #############################No ######?#Yes #######@#N/A, included in rent #######@#Refused###### @#DK #############################No ######?#Yes #######@#Ref ###### @#DK ########$####################No ######?#Yes #######@#Refused###### @#DK ########%####################No ######?#Yes #######@#Refused###### @#DK ########&###'###(###)###*##################################################### ############ ################BARRIERS= COVARIATES= ############################### ################################################################################ ################################################################################ ################################################################################ ################################################################################ ################################################################################ ################################################################################ #################################ID=id AGE=age AGE1BIR=age1bir RACETHN=racethn EDUCATN=educatn HIGRADE=higrade WORKNOW=worknow WORKWEEK=workweek MARITAL=marital HHSIZE=hhsize KIDSHH=kidshh AGEYOUNG=ageyoung ROOMS=rooms EVICTED=evicted SHELTER=shelter HOMELESS=homeless MOVES=moves NABRQUAL=nabrqual CASHWELF=cashwelf FOODSTAM=foodstam EMERGFD=emergfd INCOME=income POVERTY=poverty FOODSCOR=foodscor UTILCUT=utilcut LEAKROOF=leakroof BADPLUMB=badplumb BRKNWIND=brknwind ELCPROBS=elcprobs VERMIN=vermin NOHEAT=noheat BADSTOVE=badstove HOUSPROB=housprob MEDCARE=medcare DENTCARE=dentcare UNMET=unmet RESPROB=resprob BILLCOLL=billcoll ROBBED=robbed VIOLCRIM=violcrim BADNABE=badnabe GANGS=gangs SATOVRL=satovrl###########################################k###$VariableView('na me' 'type' 'width' 'decimals' 'label' 'values' 'missing' 'columns' 'alignment' 'measure' )############ ###windows-1252#######efre12001 ^" %>@(\\6@igfdhddddheddff#####@dddddddddededdddddoee12002 }a)>@odifdjddddhddddeeddddddddddddddddddp12003 #sLd0>@efldgl(\\/@kdkdddefeedeedd#####@dddeddedddddddedoefre12004 :@q= 1@igffiddddgddde#####t@ejddddeddedddddddddte12006 ~C@{#Gz9@eoeigfmjddddgdddfedddd#####0@ddddddddddddddq12007 efqei. 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