A paper gives data on change in Body Mass Index (BM. in kilegrams/meter and y- the paper change in a measure of depression for patients suffering from depression who participated in a pulmonary rehabilitation program. The table below contains a subset of the data given in the paper and are approximate values read from a scatterp 0.5 -0.5 0.1 0.7 0.0 1. 1.a: 0.4 0.4 14 17 1 12 14 BHI Change (kg/m²) Depression Score Change -: The accompanying computer eutput is from Minitab . Fitted Line Plot Depression score change 6312 + 3472 BMI change 5.2620 27.1% R-Sa (adi) 19.88% 20- 15 10 .. -0.5 0.0 0.5 1.0 15 BMI change Coettieients Term Ceet E Cont T-Value p-Value VIr a. Censtant 4.a 0.044 t change .a a. 2.12 1.9 0.0sas 1.00 Regression Equation Depeien e hange e.1a s.47a I hange (a) what percentage of observed variation in depression score change can be explained by the simple linear regression model? (Round your ansver to two decimal places.) 27.10 (b) Give a point estimate of d. (Round your anser to five decimal places.) Interpret this estimate. sis the typical ameunt by which the cepresson score enange y value es rom v swhat is predicted using the least squares regression line. (e) Give an estimate of the average change in depression score change associated with a kg/m inerease in BMI change. (Round your anser to three decimal places.] ) 3472 (4) Calculate a point estimate of the mean depression score change for a patient whose BMI change was 1.2 kg/m. (Round your answer to three decimal places.)

A traffic safety company publishes reports about motorcycle fatalities and helmet use. In the first accompanying data table, the distribution shows the proportion of fatalities by locati of injury for motorcycle accidents. The second data table shows the location of injury and fatalities for 2061 riders not wearing a helmet. Complete parts (a) and (b) below. Click the icon to view the tables. Click the icon to view the chi-square table of critical values. (a) Does the distribution of fatal injuries for riders not wearing a helmet follow the distribution for all riders? Use a = 0.10 level of significance. What are the null and alternative hypotheses? Ho The distribution of fatal injuries for riders not wearing a helmet follows the same distribution for all other riders. H₁: The distribution of fatal injuries for riders not wearing a helmet does not follow the same distribution for all other riders. Compute the expected counts for each fatal injury Observed Count Location of injury…

Dr. Johnson is interested in the difference in mean systolic blood pressure between groups. He performs analysis and finds a mean difference of 0.0005 mmHg in systolic blood pressure with a p value of 0.001. Dr. Johnson's findings are: a) statistically insignificant and practically significant  b) statistically significant and practically significant  c) statistically insignificant and practically insignificant  d) statistically significant but practically ins

Complete the following table to compare men and women using data collected at the first examination for each participant (n = 4434). Summarize your results in three to four sentences.   Patient Characteristic* Men (n = 1944) Women (n = 2490) Age, years                                      49.89(8.7) 50.0(8.6) Systolic blood pressure, mmHg 132.9(0.43) 132.9(0.43) Hypertension 1404(72.2)                   1848(74.2)   Use of anti-hypertensive medication                                                                      42(2.16)                         102(4.10)   Current smoker 1175(60.44) 1006(40.40)   Total serum cholesterol, mg/dL 233.5(4235.60) 239.6(4621.97)   Serum Glucose     Stoke 193(0.09) 222(0) * Mean (Standard deviation) or n (%)

The histogram below displays the distribution of 50 ages at death due to trauma (accidents and homicides) that were observed in a certain hospital during a week. Frequency 18 16 14 2086 ON 10 20 30 40 50 60 70 80 90 Age What percentage of deaths were individuals younger than 35? (a) 34% (b) 60% (c) 68% (d) 70% (e) 80%

Retinitis pigmentosa (RP) is a hereditary ocular diseasein which patches of pigment appear on the retina, potentially resulting in substantial vision loss and in somecases complete blindness. An important issue is how fastthe subjects decline. Visual field is an important measureof area of vision, which is measured in degree2. A visualfield area for a normal person is around 11,000 degree2.The longitudinal data in Table 11.29 were provided by anindividual patient.Table 11.29         Longitudinal visual field data forone RP patientTime Visual field area lnVisit (yr) (degree2) (visual field area)1 0 3059 8.032 1 3053 8.023 2 1418 7.264 3 1692 7.435 4 1978 7.596 5 1567 7.367 6 1919 7.568 7 1998 7.609 11 1648 7.4110 13 1721 7.4511 15 1264 7.14mean 6.09 1938 7.532sd 4.97 597 0.280Suppose the rate of change of ln (visual field) is a linearfunction of follow-up time.11.103 Write down a linear regression model that summarizes this relationship.

For healthy adults, the mean pH of arterial plasma (i.e., acidity of the blood) is 7.4. A new drug for arthritis has been developed. Researchers want to conduct a test to see if the new drug has increased the mean pH level of the blood. A random sample of 91 patients with arthritis took the new drug for 3 months. An analysis of the sample data revealed a p-value of 0.019.    Step 3 of 3:  Use a 1% level of significance to test the claim that the drug has increased the mean pH level of the blood.

In the General Social Survey, respondents were asked whether they favor cuts in governmental spending. Here is the output summarizing this variable: Statistics CUTS IN GOVT SPENDING. Valid 1375 Missing 1492 Mean 2.24 Median 2.00 Mode Percentiles 25 1.00 50 2.00 75 3.00 CUTS IN GOVT SPENDING. Cumulative Frequency Percent Valid Percent Percent Valid STRONGLY IN FAVOR 413 14.4 30.0 30.0 IN FAVOR 471 16.4 34.3 64.3 NEITHER 294 10.3 21.4 85.7 AGAINST 143 5.0 10.4 96.1 STRONGLY AGAINST 54 1.9 3.9 100.0 Total 1375 48.0 100.0 Missing JAP 1477 51.5 DK 7 .2 NA 8 3 Total 1492 52.0 Total 2867 100.0 Which of the following is TRUE for this variable? The median is 2 The mean is not appropriate for this variable The mean is 2.24 V The median is IN FAVOR The mode is IN FAVOR The mode is 2 O The median is not appropriate for this variable

Suppose u, and u, are true mean stopping distances at 50 mph for cars of a certain type equipped with two different types of braking systems. The data follows: m = 5, x = 115.1, s, = 5.05, n = 5, y = 129.2, and s, = 5.36. Calculate a 95% CI for the difference between true average stopping distances for cars equipped with system 1 and cars equipped with system 2. (Round your answers to two decimal places.) n USE SALT Does the interval suggest that precise information about the value of this difference is available? O Because the interval is so narrow, it appears that precise information is available. o Because the interval is so wide, it appears that precise information is not available. o Because the interval is so narrow, it appears that precise information is not available. Because the interval is so wide, it appears that precise information is available. You may need to use the appropriate table in the Appendix of Tables to answer this question.

Trace metals in drinking water affect the flavor and an unusually high concentration can pose a health hazard. Ten pairs of data were taken measuring zinc concentration in bottom water and surface water. The raw data provided in table below. Does the data suggest that the true average concentration in the bottom water exceeds that of surface water? Use ?=0.01.