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- 15) Find the unexplained variation for the paired data. The equation of the regression line for the paired data below is y = 3x. %3D x| 2 4 5 6 y 7 11 13 20 A) 88.75 B) 78.75 C) 14.25 D) 10.00Which non-parametric test for ordinal data is the best to use in the given scenario? In a study by Zuckerman and Heneghan, hemodynamic stresses were measured on subjects undergoing laparoscopic cholecystectomy. An outcome variable of interest was the ventricular end-diastolic volume (LVEDV) measured in mm. A portion of the data appears in the following table. Baseline refers to a measurement taken 5 minutes after induction of anesthesia, and the term '5 minutes' refers to a measurement taken 5 minutes after baseline. Can we conclude that, on the basis of these data, among subjects undergoing laparoscopic cholecystectomy, the average LVEDV levels change? Let a =.01. LVEDV (ml) Subject Baseline 5 minutes 1 51.7 49.3 2 79.0 72.0 3 78.7 67.0 4 80.3 70.4 5 72.0 65.9 6 85.0 84.8 7 79.0 77.7 8 71.3 74.0 9 54.3 58.0 10 58.8 65.0 a. Mood Median Test b. Sign Test c. Wilcoxon Rank Sum Test d. Wilcoxon Matched-Pair Signed-Ranks Test e. Spearman and Kendall Correlation…What statistical test would be most appropriate if you were interested in seeing how religiosity changes in early adulthood? Religiosity was measured using an interval scale, and the same participants provided data at two time points – at age 15 and 25. Assume the data meets all assumptions for a parametric test
- Provide a detailed interpretation analysis of the regression results below. Pay attention to the main tested variables, model fit characteristics (R 2 ) and number of respondents in the sample. State what is dependent and what are independent variables. Was the hypotheses rejected or confirmed? a) H1: If a woman has a job she will have less children born b) H2: The younger a woman got married the more children she has c) H3: Education positively affects number of children to have5. Provide a detailed interpretation analysis of the regression results below. Pay attention to the main tested variables, model fit characteristics (R²) and number of respondents in the sample. State what is dependent and what are independent variables. Was the hypotheses rejected or confirmed? (5 Marks) a) Hl: If a woman has a job she will have less children born b) H2: The younger a woman got married the more children she has c) H3: Education positively affects number of children to have Coefficients" Model Unstandardized Standardized Sig. Coefficients Coefficients B Std. Error Beta (Constant) 2.542 .394 6.445 .000 Do you have a job (yes - 1; no - 0)? How old were you when you .161 .133 .098 1.214 .227 -.169 .054 -227 -3.111 .002 got married? What is the highest educational level that you have attained? What is your family income? Does your husband have a job (yes - 1; no – 0)? a. Dependent Variable: how many children do you have? R? 0.456 -.142 .073 -159 -1.947 .053 .231 .032 .564…See the attached image for the introduction. Is there evidence that Square Feet(x1), Price/Square Feet(x2), and Bathrooms(x3) together provide important information for predicting price? In terms of variables xi and parameters βi, write the null and alternative hypotheses. Find the statistics and its corresponding p-value.State your conclusion.
- According to the Center for Disease Control (CDC) during the 2018-2019 season the percent of Americans 18 and older who had a flu shot was 45.3%. We did a random sample of 500 Americans and found that 200 out of the 500 had a flu shot. Is there enough evidence at the 5% level that 45.3% or less of Americans 18 or older had a flu shot? Find the SE, z score, and p-value: a) SE = sqrt(0.40(1-.40)/500) = 0.0219, Z-score = (0.453 – 0.40)/0.0219 = 2.42, p-value = 0.87 b) SE = sqrt(0.453(1-.453)/500) = 0.223, Z-score = (0.40 – 0.453)/0.223 = -0.24, p-value = 0.4052 c) SE = sqrt(0.453(1-.453)/500) = 0.0223, Z-score = (0.453 – 0.40)/0.0223 = 2.38, p-value = 0.9913 d) SE = sqrt(0.453(1-.453)/500) = 0.0223, Z-score = (0.40 – 0.453)/0.0223 = -2.38, p-value = 0.0087Write the null and alternative hypothesis for the following research problems (2 points each). A water faucet manufacturer claims that the mean flow rate of a certain type of faucet is less than 2.5 gallons per minutes. Ho : Ha:State whether the following statements are true or false and give a brief explanation. (Note that no marks will be given without explanation.) a) A research is conducted to study the relationship between two variables. The two variables are: (i) the occupations of employees, and (ii) the happiness scores of employees. It is noted that the occupation is at nominal level and the happiness score is at interval level. To perform the analysis, the chi-square test should be used. b) You are given that the coefficient of determination of two variables is 35%. So, it can be concluded that the slope of the regression line for the two variables is positive.
- Has the principle of comparison been addressed in this experimental design? A company that manufactures golf balls produces a new type of ball that is supposed to travel significantly farther than the company's previous golf ball. To determine this, 40 new-style golf balls and 40 original- style golf balls are randomly selected from the company's production line on a specific day. The balls are then placed in bag and shaken. A golf pro then selects a ball and hits it. The distance the ball travels is then measured. The bag is shaken again, and the golf O Yes, because the balls are randomly selected, the distances of the new ball can be compared to the distances of the original ball. O Yes, because the original ball type is included in this experiment, the distances the different balls travel can be accurately compared. O No, because a placebo ball was not used, a comparison cannot be made to determine if the new ball travels significantly farther. pro selects another ball to hit. She…A paper investigated the driving behavior of teenagers by observing their vehicles as they left a high school parking lot and then again at a site approximately mile from the school. Assume that it is reasonable to regard the teen drivers in this 2 study as representative of the population of teen drivers. Amount by Which Speed Limit Was Exceeded Female Driver -0.1 0.4 1.1 0.7 1.1 1.2 0.1 0.9 0.5 0.5 (a) Use a .01 level of significance for any hypothesis tests. Data consistent with summary quantities appearing in the paper are given in the table. The measurements represent the difference between the observed vehicle speed and the posted speed limit (in miles per hour) for a sample of male teenage drivers and a sample of female teenage drivers. (Use males-females. Round your test statistic to two decimal places. Round your degrees of freedom down to the nearest whole number. Round your p-value to three decimal places.) t = df = P= Male Driver 1.4 1.2 0.9 2.1 0.7 1.3 3 1.3 0.6 2.1 (b) Do…A paper investigated the driving behavior of teenagers by observing their vehicles as they left a high school parking lot and then again at a site approximately mile from the school. Assume that it is reasonable to regard the teen drivers in this study as representative of the population of teen drivers. Amount by Which Speed Limit Was Exceeded Male Female Driver Driver 1.4 -0.3 1.2 0.6 0.9 1.1 2.1 0.7 0.7 1.1 1.3 1.2 3 0.1 1.3 0.9 0.6 0.5 2.1 0.5 (a) Use a .01 level of significance for any hypothesis tests. Data consistent with summary quantities appearing in the paper are given in the table. The measurements represent the difference between the observed vehicle speed and the posted speed limit (in miles per hour) for a sample of male teenage drivers and a sample of female teenage drivers. (Use umales - Hfemales: Round your test statistic to two decimal places. Round your degrees of freedom down to the nearest whole number. Round your p-value to three decimal places.) t = df = P = (b)…