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- What does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s pole vault height has fallen below the value predicted by the regression line in Example 2. This might have occurred because when the pole vault was a new event there was much room for improvement in vaulters’ performances, whereas now even the best training can produce only incremental advances. Let’s see whether concentrating on more recent results gives a better predictor of future records. (a) Use the data in Table 2 (page 176) to complete the table of winning pole vault heights shown in the margin. (Note that we are using x=0 to correspond to the year 1972, where this restricted data set begins.) (b) Find the regression line for the data in part ‚(a). (c) Plot the data and the regression line on the same axes. Does the regression line seem to provide a good model for the data? (d) What does the regression line predict as the winning pole vault height for the 2012 Olympics? Compare this predicted value to the actual 2012 winning height of 5.97 m, as described on page 177. Has this new regression line provided a better prediction than the line in Example 2?QUESTION 11 Historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the previous 6 months, in a sample of 115 new-car buyers, 46 have traded in their old car. To determine (at the 10% level of significance) whether the proportion of new-car buyers that trade in their old car has statistically significantly decreased; what is the critical value? (please round your answer to 2 decimal places)
- QUESTION 3 Which of the following can cause OLS estimators to be biased? Explain each of the following points: Heteroscedasticity Omitting an important variable A sample correlation coefficient of 0.95 between two independent variables both included in the model.Research Question 2: Does suffering from anxiety alter people’s self-reported ability to focus? The mean attention rating on the Conner’s Adult ADHD Rating Scale (CAARS) is 50 and the standard deviation is 10. If we recruit a sample of 100 adults diagnosed with Generalized Anxiety Disorder and find that their mean CAARS score is 49, using an alpha-level of .05, can we conclude that anxiety appears to impact attention ratings? What if we recruited a sample of 500 adults? Answer to part a State research question and research hypothesis: Research Question: Independent Variable: Dependent Variable: Research Hypothesis: State null and alternative hypotheses: H0: H1: Define level of significance (alpha level) α = Collect data and compute descriptive statistics Compute test statistic: Determine probability of test statistic: Reject or do not reject H0: Interpret results of hypothesis test to answer research question!!! Answer to part b State research question…QUESTION 12 Historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the previous 6 months, in a sample of 115 new-car buyers, 46 have traded in their old car. To determine (at the 10% level of significance) whether the proportion of new-car buyers that trade in their old car has statistically significantly decreased, what can you conclude concerning the null hypothesis? Reject the null hypothesis Fail to reject the null hypothesis
- Question 5 b) Twenty percent of individuals who seek psychotherapy will recover from their symptoms irrespective of whether they receive treatment. A research finds that a particular type of psychotherapy is successful with 30 out of 100 clients. Using an alpha level of 0.05 as a criterion, what should she conclude about the effectiveness of this psychotherapeutic approach?QUESTION 5 The table below contains data about the returns to capital (in percentage points, %) of a random sample of 9 South African companies. Suppose that the returns to capital of South African companies is normally distributed. Using the data provided in the table, the value of the test statistic that must be used to test the hypothesis that the mean returns to capital is at least 10, rounded off to 3 decimal places is . Testing at the 5% level of significance, the critical value of this hypothesis, rounded off to 3 decimal places is . Use a YES for reject H0 and NO for do not reject H0. In the space provided and writing your answer in capital letters, do you reject or do not reject the null hypothesis H0? . (Note: write your final answers to 3 decimal places and when writing your answer use "." (3.250) instead of "," (3,250) with no spaces between digits).QUESTION 10 Historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the previous 6 months, in a sample of 115 new-car buyers, 46 have traded in their old car. To determine (at the 10% level of significance) whether the proportion of new-car buyers that trade in their old car has statistically significantly decreased, what is the test statistic? (please round your answer to 2 decimal places)