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- Determine the heteroscedasticity in a scatter plot?You are analyzing a dataset containing 379 datapoints, and want to use 13 predictor variables to create a multiple variable linear regression model of the data. You conduct an ANOVA analysis, and yield a R² of 38%. Using this information, what would be the F statistic of your analysis?You are conducting a study to see if the proportion of voters who prefer the Democratic candidate is significantly larger than 50% at a level of significance of a = 0.10. According to your sample, 49 out of 92 potential voters prefer the Democratic candidate.
- Researchers notice that access to food may be related to later success in secondary education. Researchers formulate a hypothesis that says: teenagers are more likely to graduate high school in cities with more food banks per capita compared to cities that have fewer food banks per capita. They run a pilot study with n = 4 neighborhood blocks, sampled randomly across cities in the U.S. Here, x = number of food banks in the target city and y = number of high school graduates in a 4x4 block radius. The data are presented in the table below. What is the correlation between access to food banks (x) and high school graduation (y)? a) Calculate the sum of products b) Calculate Pearson’s rLucy recently asked the servers at her restaurant to only give straws to customers who request them. She thinks that about half of the customers will ask for straws but hopes that the rate will be less than half. She randomly selects 100 customers and finds that 43 of them ask for a straw. To determine if these data provide convincing evidence that the proportion of customers who will ask for a straw is less than 50%, 150 trials of a simulation are conducted. Lucy is testing the hypotheses: H0: p = 50% and Ha: p < 50%, where p = the true proportion of customers who will ask for a straw. Based on the results of the simulation, what is the estimate of the P-value of the test? A) 0.0333 B) 0.05 C) 0.0733 D) 0.11Does the test result Provide sufficient evidence that light alcohol consumption has a negative impact on the driving performance of a sleep deprived driver. Why or why not
- On average, a sample of n = 36 scores will provide a better estimate of the population mean than a sample of n = 49 scores from the same population.Independent studies show that 26 out of 40 r/s full-time students favor a shorter semester system, while 38 out of 50 r/s part-time students favor the same. Construct a 98% c.i. for the difference between the overall percentage of full-time students favoring a shorter semester system and that of part-time students.Here is the scenario for your Between Subjects Independent One Way ANOVA: Dr. Xena is interested in determine which type of therapy best helps persons with bipolar depression. She gathers a random and representative sample of men and women ages 18-95 years of age who have a diagnosis of Bipolar Depression who are taking Lithium for at least 6 months. She randomly assigns participants to conditions and measures well being scores after 4 months of therapy. Well being scores range from 0-100, with 100 being high well-being (feel good and experiencing no mood swings). Here is the data: Cognitive Therapy EMDR Therapy Psychoanalytical Therapy 15 72 28 78 91…
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