Interpret the following plots for 2² experiments: what is the sign of the main effect of A, B and their interaction? Response Response Response B+ B- LKE A
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Topic: Design of experiment (DOE)
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- To illustrate the effects of driving under the influence of alcohol, a police officer brought a DUI simulator to a high school. Student reaction time in an emergency was measured with unimpaired vision and also while wearing special goggles to simulate the effect of alcohol on vision with the following results: Normal: 4.47, 4.24, 4.58, 4.65, 4.31, 4.8, 4.55, 5, 4.79 Impaired: 5.77, 5.67, 5.51, 5.32, 5.83, 5.49, 5.23, 5.61, 5.63 Is there evidence to suggest that there is a difference at alpha = 0.05level of significance.A teacher has found that his class performed particularly well on a quiz when the material was related to pop culture (M= 77) compared with normal quiz performance (u= 69, 0 =20 ). What is the effect size for this effect? Select one: • a. 0.40 e b. 1.57 • c. 0.94 • d. -0.94 e e. All of the aboveThe amygdala is a brain structure involved in the processing and memory of emotional reactions. In a research project, 10 subjects were shown emotional video clips. They then had their brain scanned with positron emission tomography (PET) and their memory of the clips was assessed quantitatively. Here are the relative amygdala activity and the memory score for each subject: The relationship is (Linear or curved) and ( Moderate, weak, or strong)? The direction of the realtionship is (Negitive or positive)? The amygdala and memory 3/4: The correlation coefficient between relative activity and memory score is: (round your answer to 3 decimal places)
- Roy ‘s Texaco wants to keep the price of its unleaded gasoline competitive with that of other stations in the area. Roy’s is currently charging $1.29 per gallon. To check that the average price for this gasoline for all stations within a 15 mile radius is higher than his price, Roy randomly samples the price of unleaded gasoline at ten stations located in this area. He obtains the following data for the price per gallon (in dollars): 1.7, 1.5, 2.6, 2.2, 2.4, 2.3, 2.6, 3.0, 1.4, 2.3 Set up the appropriate hypotheses and test them using a significance level of α= .05Roy's Texaco wants to keep the price of its unleaded gasoline competitive with that of other stations in the area. Roy's is currently charging $1.29 per gallon. To check that the average price for this gasoline for all stations within 12-mile radius is higher than his price, Roy randomly samples the price of unleaded gasoline at ten stations located in this area. He obtains the following data for the price per gallon (in dollars): 1.7, 1.5, 2.6, 2.2, 2.4, 2.3, 2.6, 3.0, 1.4, 2.3 Set up appropriate hypotheses and test them using a significant level of .01.The owener of a winery collects data on competing wineries every year. He would like to predict the gross sales (in number of cases) from the size of the wineries (in acres). What is the explanatory variable in this study?
- Find the new data point (x,y) in which x=2 from the data points (1.3) and (4.12)Consider the following scatter plots, number 1, 2, and 3 from left to right: 20 Which plot is most likely associated with a correlation coefficient of-0.92? Select one: Oa. Plot 1 Ob. Plot 2 Oc. Plot 3 Od. None of the above.Please interpret this Spearman rho correlation value: -0.21 (p=0.12)
- Which of the following tools is most suitable to analyse the relationship between two quantitative variables? a. Cramer's V coefficient b. Contingency tables c. Bar graphs d. Scatter plotOphthalmology Retinitis pigmentosa (RP) is a hereditary ocular disease in which patches of pigment appear on the retina, potentially resulting in substantial vision loss and in some cases complete blindness. An important issue is how fast the subjects decline. Visual field is an important measure of area of vision, which is measured in degree2. A visual field area for a normal person is around 11,000 degree2. The longitudinal data in Table 11.29 were provided by an individual patient. tablE 11.29 Longitudinal visual field data for one RP patient Time Visual field area ln Visit (yr) (degree2) (visual field area) 1 0 3059 8.03 2 1 3053 8.02 3 2 1418 7.26 4 3 1692 7.43 5 4 1978 7.59 6 5 1567 7.36 7 6 1919 7.56 8 7 1998 7.60 9 11 1648 7.41 10 13 1721 7.45 11 15 1264 7.14 mean 6.09 1938 7.532 sd 4.97 597 0.280 Suppose the rate of change of ln (visual field) is a linear function of follow-up time. 11.103 Write down a linear regression model that summarizes…The weights (in pounds) of 6 vehicles and the variability of their braking distances (in feet) when stopping on a dry surface are shown in the table. Can you conclude that there is a significant linear correlation between vehicle weight and variability in braking distance on a dry surface? Use α=0.01. Weight, x 5940 5390 6500 5100 5820 4800 Variability in braking distance, y 1.71 1.94 1.87 1.65 1.61 1.50 LOADING... Click here to view a table of critical values for Student's t-distribution. H0:ρ_____0 Ha:ρ____0 Identify the critical value(s). Select the correct choice below and fill in any answer boxes within your choice. (Round to three decimal places as needed.) A. The critical value is _____. B. The critical values are −t0=_____and t0=_____ Calculate the test statistic. t= (Round to three decimal places as needed.) What is your conclusion? There________enough evidence at the 5% level of…
