Question
if you send me your email, i can send you the data file. It does not let me to paste it here as a file.
if you send me your email, i can send you the data file. It does not let me to paste it here as a file. I just copy and pasted it. but i know it will be much easier if i send it to you as an excel file
age fev1 height sex smoke female
9 1.707999945 57 female no 1
8 1.723999977 67.5 female no 1
7 1.720000029 54.5 female no 1
9 1.557999969 53 male no 0
9 1.894999981 57 male no 0
8 2.335999966 61 female no 1
6 1.91900003 58 female no 1
6 1.414999962 56 female no 1
8 1.986999989 58.5 female no 1
9 1.942000031 60 female no 1
6 1.601999998 53 female no 1
8 1.735000014 54 male no 0
8 2.193000078 58.5 female no 1
8 2.118000031 60.5 male no 0
8 2.257999897 58 male no 0
7 1.932000041 53 male no 0
6 1.878000021 53 female no 1
9 2.351999998 59 male no 0
9 2.604000092 61.5 male no 0
7 2.578000069 62.5 male no 0
9 2.987999916 65 female no 1
9 2.34800005 60 male no 0
8 2.980000019 60 female no 1
9 2.099999905 60 female no 1
9 3 65.5 male no 0
8 2.673000097 60 female no 1
7 2.092999935 57.5 female no 1
8 2.174999952 59 female no 1
9 2.724999905 59 male no 0
8 2.071000099 55 male no 0
8 1.547000051 57 male no 0
8 2.003999949 57 male no 0
9 3.13499999 60 female no 1
8 2.420000076 59 male no 0
8 1.930999994 57 female no 1
9 2.075999975 57 female no 1
7 1.623999953 54 male no 0
8 1.343999982 52.5 female no 1
6 1.649999976 55 male no 0
8 2.732000113 60.5 male no 0
9 2.796999931 61.5 female no 1
9 3.555999994 62 male no 0
8 1.702999949 54.5 male no 0
6 1.633999944 54 male no 0
9 2.569999933 57 male no 0
9 3.016000032 62.5 female no 1
7 2.41899991 60 female no 1
8 1.697999954 57.5 female no 1
8 2.122999907 60 male no 0
8 2.480999947 60 female no 1
6 1.480999947 51 female no 1
8 1.940000057 59 male no 0
6 1.746999979 57.5 male no 0
9 2.069000006 58 male no 0
7 1.631000042 55.5 female no 1
9 2.559999943 60.5 female no 1
8 1.962000012 57 male no 0
8 2.530999899 58 female no 1
9 2.714999914 60 male no 0
9 2.457000017 59 male no 0
9 2.089999914 59.5 male no 0
7 1.789000034 56 male no 0
9 3.842000008 69 male no 0
6 1.718999982 53 female no 1
7 2.111000061 57 female no 1
6 1.695000052 53 female no 1
8 2.210999966 63 male no 0
8 1.79400003 54.5 male no 0
7 1.917000055 58 female no 1
8 2.144000053 63 female no 1
7 1.253000021 52 male no 0
9 2.65899992 61.5 male no 0
9 2.125999928 62 male no 0
9 3.029000044 61.5 female no 1
9 2.963999987 64.5 male no 0
7 1.610999942 57.5 male no 0
8 2.214999914 60 female no 1
8 2.388000011 60 female no 1
9 2.196000099 61 male no 0
9 1.751000047 58 male no 0
9 2.164999962 61.5 male no 0
7 1.682000041 55 male no 0
8 1.523000002 55 male no 0
8 1.292000055 52 female no 1
7 1.649000049 54 male no 0
9 2.588000059 63 male no 0
9 2.573999882 60.5 female no 1
6 1.978999972 56 male no 0
8 2.354000092 58.5 male no 0
6 1.718000054 55 male no 0
7 1.741999984 58.5 female no 1
7 1.603000045 51 female no 1
8 2.638999939 59.5 female no 1
7 1.828999996 54 female no 1
7 2.084000111 58 male no 0
7 2.220000029 58 male no 0
7 1.47300005 52.5 female no 1
8 2.34100008 60.5 female no 1
7 1.697999954 54.5 female no 1
8 1.871999979 56.5 female no 1
7 2.219000101 55 male no 0
9 2.420000076 57 male no 0
7 1.827000022 54.5 female no 1
7 1.460999966 54 female no 1
6 1.338000059 53 male no 0
8 2.089999914 57 male no 0
8 1.697000027 59 female no 1
8 1.562000036 55 male no 0
9 2.039999962 55.5 female no 1
7 1.608999968 51.5 female no 1
8 2.457999945 61 female no 1
9 2.650000095 63.5 male no 0
8 1.42900002 57.5 male no 0
8 1.674999952 53 male no 0
9 1.947000027 56.5 female no 1
8 2.069000006 54 male no 0
6 1.572000027 52 male no 0
6 1.34800005 53 male no 0
8 2.288000107 61.5 female no 1
9 1.773000002 58.5 male no 0
7 1.904999971 58 male no 0
9 2.463000059 61 female no 1
6 1.430999994 51 male no 0
9 2.631000042 62 female no 1
9 3.114000082 64.5 male no 0
9 2.13499999 58.5 male no 0
6 1.52699995 52.5 male no 0
8 2.292999983 58 female no 1
9 3.042000055 66 female no 1
8 2.927000046 63.5 male no 0
8 2.664999962 64 female no 1
9 2.301000118 58.5 male no 0
9 2.460000038 64 male no 0
9 2.592000008 60.5 female no 1
7 1.75 55 female no 1
8 1.758999944 53 male no 0
6 1.536000013 48 male no 0
9 2.259000063 58.5 female no 1
9 2.048000097 64.5 female no 1
9 2.571000099 60.5 male no 0
7 2.046000004 56 male no 0
8 1.779999971 58.5 female no 1
8 1.952999949 58 female no 1
9 2.892999887 64.5 male no 0
6 1.713000059 50.5 male no 0
9 2.851000071 60 female no 1
6 1.623999953 51.5 male no 0
8 2.631000042 59 male no 0
7 1.657999992 53 male no 0
7 2.157999992 53.5 male no 0
9 3.003999949 64 female no 1
8 2.503000021 63 male no 0
9 1.932999969 58 female no 1
9 2.09100008 58.5 female no 1
9 2.315999985 59.5 female no 1
9 1.605999947 57.5 female no 1
7 1.164999962 47 male no 0
6 2.101999998 55.5 female no 1
9 2.319999933 57 female no 1
9 2.230000019 61 male no 0
9 1.715999961 55.5 male no 0
7 1.789999962 53.5 male no 0
8 2.187000036 61.5 female no 1
9 2.717000008 61.5 male no 0
7 1.796000004 55 male no 0
9 1.952999949 58 male yes 0
8 1.335000038 56.5 female no 1
9 2.118999958 57 male no 0
6 1.666000009 52 male no 0
6 1.825999975 52.5 male no 0
8 2.709000111 62.5 female no 1
9 2.871000051 65 male no 0
6 2.262000084 57.5 male no 0
6 2.104000092 56.5 male no 0
9 2.165999889 57.5 female no 1
7 1.690000057 54 female no 1
9 2.97300005 59.5 male no 0
8 2.144999981 59.5 female no 1
7 2.095000029 57 female no 1
6 1.697000027 55 female no 1
9 2.454999924 60 female no 1
7 1.919999957 56.5 male no 0
9 2.164000034 60 male no 0
9 2.130000114 59 female no 1
8 2.993000031 63 female no 1
9 2.529000044 59 female no 1
7 1.725999951 53 female no 1
9 2.441999912 61.5 female no 1
9 2.055999994 63 female no 1
8 2.305000067 64.5 female no 1
9 1.968999982 59 female no 1
8 1.555999994 58.5 female no 1
9 2.042000055 62 male no 0
8 1.511999965 53 female no 1
6 1.422999978 49.5 male no 0
9 3.680999994 68 male no 0
8 1.991000056 59.5 male no 0
8 1.896999955 55.5 male no 0
7 1.370000005 55 female no 1
6 1.338000059 51.5 female no 1
8 2.016000032 56 male no 0
9 2.638999939 63 female no 1
7 1.611999989 56.5 male no 0
8 2.13499999 59 female no 1
8 2.680999994 60.5 male no 0
9 3.22300005 65 female no 1
6 1.796000004 55 female no 1
8 2.00999999 55 male no 0
6 1.523000002 51 female no 1
8 1.743999958 52.5 male no 0
9 2.484999895 64 female no 1
8 2.335000038 59 female no 1
7 1.414999962 53.5 female no 1
9 2.075999975 60.5 male no 0
8 2.434999943 59.5 male no 0
7 1.728000045 56.5 female no 1
9 2.849999905 63 female no 1
8 1.843999982 56.5 female no 1
9 1.753999949 61.5 female no 1
6 1.343000054 52 female no 1
8 2.302999973 57 male no 0
9 2.246000051 63.5 male no 0
8 2.476000071 63 female no 1
9 3.239000082 65 male no 0
9 2.457000017 61.5 male no 0
8 2.381999969 62 female no 1
7 1.639999986 55 female no 1
7 2.055999994 54 male no 0
8 2.226000071 57 male no 0
9 1.886000037 56 female no 1
9 2.832999945 61.5 male no 0
6 1.715000033 53 male no 0
8 2.631000042 59 male no 0
7 2.549999952 56 male no 0
9 1.911999941 59 female no 1
7 1.876999974 52.5 female no 1
7 1.934999943 52.5 female no 1
9 2.802999973 59.5 male no 0
9 2.923000097 64 male no 0
8 2.35800004 61 female no 1
8 2.094000101 57.5 male no 0
9 1.855000019 60 male no 0
6 1.534999967 55 female no 1
7 2.13499999 56 male no 0
9 2.181999922 59.5 female no 1
7 2.002000093 57.5 female no 1
6 1.699000001 54 male no 0
8 2.5 57 male no 0
7 2.365999937 58 female no 1
8 2.069000006 60 female no 1
8 2.332999945 57 female no 1
8 1.758000016 52 female no 1
7 2.535000086 59.5 male no 0
7 2.563999891 58 female no 1
9 2.486999989 64 female no 1
9 1.590999961 57 female no 1
8 1.623999953 53 male no 0
9 2.798000097 62 male no 0
6 1.690999985 53 male no 0
8 1.998999953 56.5 female no 1
9 1.868999958 57 male no 0
6 1.427000046 49.5 male no 0
7 1.825999975 51 male no 0
9 2.687999964 59.5 female no 1
8 1.656999946 56 male no 0
6 1.672000051 54 female no 1
8 2.015000105 57.5 female no 1
7 2.371000051 55.5 female no 1
8 2.328000069 60 female no 1
7 1.495000005 57 female no 1
10 2.328000069 64 male no 0
10 1.81099999 57 male no 0
10 2.64199996 61 female no 1
10 3.165999889 61.5 female no 1
10 2.561000109 62 male no 0
10 2.480999947 61 male no 0
10 3.203000069 66 male no 0
10 3.111000061 66 male no 0
10 2.519999981 60.5 female no 1
10 2.292000055 63 male no 0
10 2.246000051 60.5 male no 0
10 1.937000036 62 male no 0
10 2.645999908 60 male no 0
10 3.250999928 66 male no 0
10 3.006999969 62 male no 0
10 3.489000082 66.5 male no 0
10 2.864000082 60 female no 1
10 2.25 58 female no 1
10 2.351999998 61.5 male no 0
10 2.592000008 65 male no 0
10 2.720000029 65.5 male no 0
10 3.048000097 65.5 female no 1
10 2.094000101 58.5 male no 0
10 3.183000088 65.5 female no 1
10 3.354000092 63 male no 0
10 2.387000084 66 female yes 1
10 2.503999949 60 female no 1
10 2.891000032 61 female no 1
10 1.822999954 57 female no 1
10 2.174999952 58 female no 1
10 2.673000097 64.5 female no 1
10 2.60800004 66 male no 0
10 1.457999945 57 female no 1
10 3.795000076 68.5 male no 0
10 2.545000076 65 male no 0
10 3.305000067 65 female no 1
10 2.855000019 64.5 male no 0
10 2.286999941 61 female no 1
10 2.36500001 63.5 female no 1
10 2.696000099 66 male no 0
10 2.812999964 61.5 female no 1
10 3.413000107 66 female yes 1
10 1.85800004 58 male no 0
10 2.974999905 63 female yes 1
10 3.349999905 69 male no 0
10 2.901000023 59.5 male no 0
10 3.200000048 65 male no 0
10 2.35800004 59 female no 1
10 2.58100009 66 male no 0
10 2.690999985 67 female no 1
10 1.873000026 52.5 male no 0
10 2.757999897 65.5 male no 0
10 3.049999952 60 female no 1
10 2.200999975 60.5 male no 0
10 1.85800004 59 male no 0
10 1.664999962 57 male no 0
10 2.25 58 female no 1
10 2.861999989 61 female no 1
10 2.355999947 60.5 female no 1
10 4.59100008 70 male no 0
10 2.21600008 61 male no 0
10 3.497999907 68 male yes 0
10 2.364000082 61 male no 0
10 2.34100008 61 male no 0
10 3.127000093 62 male no 0
10 2.131999969 59 male no 0
10 3.45600009 63 male no 0
10 3.072999954 66 female no 1
10 2.687999964 62 female no 1
10 3.328999996 68 male no 0
10 3.109999895 64.5 male no 0
10 2.434999943 65 female no 1
10 2.838000059 63 female no 1
10 3.085999966 62 female no 1
10 2.769999981 62 male no 0
10 3.089999914 65 male no 0
10 3.038000107 65 female yes 1
10 2.568000078 63.5 female no 1
10 3.131999969 59.5 female no 1
10 2.391000032 59.5 male no 0
10 2.099999905 58 male no 01.FEV1, forced expiratory volume, the amount of air a person can blow out in 1 second after breathing in deeply, is an easy way to assess lung function. The units are liters/ 1 second.
Researchers studying asthma were interested in how children's FEV1 varied with their height. The data ?le is attached below..
For this question, the outcome variable is fev1 and the explanatory variable is height.
The fev1 values are in liters of air in the ?rst second. The heights are measured in inches.
There are 351 children in the dataset.
1.1 Based on this plot, does a line give a good summary of the relationship between FEV1 and height? Explain your reasoning.
1.2 Is the variability of the observed points around the ?tted least squares line roughly constant? Explain your reasoning. Focus on the observations with heights between 50 and 65 inches, where there are good numbers of observations
1.3 Explain why we do not have to look at the distribution of the standardized residuals to know that it is OK to use methods based on the t distribution to ?nd con?dence intervals and carry out hypothesis tests for these data
1.4 analyze the data using the least squares regression line.
what is the averages and standard deviations of fev1 and height and the Pearson correlation coef?cient. Paste your results.
1.5 Use the R lm function or equivalent software to ?t the least squares regression. If you are using R, you will need to save your results in an R object, as illustrated in our course materials. Paste your results
1.6 what is the slope estimate from the Pearson correlation coef?cient and the standard deviations of fev1 and height. [Show intermediate steps.] Include the units for the slope
1.7 what is the intercept estimate. [Show intermediate steps.] Include the units for the intercept
1.8 what is the equation for the ?tted regression line.
1.9 Explain why it is not of any concern that the least squares line has a negative value for the intercept
1.10 The investigators want to know if these data provide evidence to support the hypothesis that mean FEV1 is higher for children who are taller. State the null and alternative hypotheses for the investigator's question
1.11 what is the test statistic. [Show intermediate steps.]
1.12 What are the degrees of freedom for the test? Explain your reasoning and include your calculations
1.13 Using your answer to question 1.11 explain how you know the P value is very small
1.14 Using P
1.15 What is the standard deviation of the residuals, and what are its units? What does the standard deviation of the residuals tell us about the closeness of the observed points to the ?tted line?
1.16 what is R22 from the sums of squares and interpret it.
1.17 1.1Explain why it would not be wise to use your regression model to estimate the mean FEV1 of children 42 inches in height
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Elementary Linear Algebra Applications Version
Authors: Howard Anton, Chris Rorres
11th Edition
1118879163, 9781118879160
