QUESTION 1 The three primary measures of center (measures of central tendency) are the
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we have to give name 3 primary measure of center(central tendency)
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- A student has taken 4 area exams designed to measure particular intellectual abilities. The following table identifies each test, summarizes its characteristics, and provides the student’s score on it. Assume that the possible scores on each test are normally distributed. Area Test ? ? Student’s Score Verbal Ability 58.50 6.50 63.00 Visualization 110.00 15.00 102.50 Memory 85.00 11.50 98.00 Spatial Relations 320.00 33.50 343.00 a. Change each student’s score to its z-score equivalent b. On which test did the student score in the highest position? c. On which test did the student score in the lowest position? d. What is the percentile rank of the student’s Verbal Ability? e. What percentage of the students who took the Spatial Relations test scored higher than the student? f. Between what two scores on Memory did the middle 95% of students lie? g. What percent of students had scores between X = 95 and X = 110 on Visualization?Activity 3.2. INFORMATION FROM CONTIGENCY TABLES • A group of patients were classified in terms of their smoking habits and the incidence of hypertension. Table 3 shows the distribution of the patients along the two variables. Hypertension Smoking Habits With Without Non-smokers 6 Moderate smokers 15 10 Heavy smokers 9 6 • Copy and complete the crosstabulation.An economist was interested in the relation between the disposable income of a family and the amount of money used for food per month. He did a preliminary study on eight randomly selected lower income families. (Each family was of the same size; father, mother and two children). The economist’s data are given in the table below. Food cost (Y) (in hundreds of rand) 55 60 42 40 37 26 39 43 Family disposable income(X) (in hundreds of rand) 30 36 27 20 16 24 19 25 Find the regression linear equation. What is the predicted food cost if the family disposable income is R1800? Find the correlation coefficient & Interpret r. Find the Coefficient of Determination & Interpret the R2.
- Can you please check my workThe process of moving from theory to data, where the data would test the theory, is known as.......?The basic hypothesis is that people who play sports are more likely than others to watch sport on TV. Your first task is to crosstabulate the data involving the playing and watching of sports and to determine the direction and strength of that relationship. Write out your findings about this basic relationship. Your next task is to determine the direction and strength of the partial relationships when you control for the gender of individuals.
- IQuestion 1] a. The following table shows demand (x) and supply (v) for a sample of a certain commodity. 12 7 11 19 5 21 3 4 17 14 3 21 28 6 43 1 12 30 y i. Plot the points on a scatter graph and state the relationship between the two variables. ii. Calculate the value of the product moment correlation coefficient for the data and comment briefly. b. Company Y wants to determine the cost-volume relation between its factory overhead cost and number of units produced. The volume and the corresponding total cost information of the factory for past eight months are given below: Month 2 3 4 5 6 7 8. Units 1,520 1,250 1,750 1,600 2,350 2,100 3,000 2,750 FOH S36,375 $38,000 $41,750 S42,360 $55,080 SS48,100 $59,000 $56,800 Factory Overhead costs of Company Y i. Use the high-low method to split its factory overhead (FOH) costs into fixed and variable components and create a cost volume formula. ii. Briefly explain why this method is unreliable as a means of cost estimation and suggest one other…An institutional research administrator believes that there is a direct relationship between a student’s GPA and their score on a senior Aptitude Test. The following data show the results of 10 student’s grade point averages (X) and their aptitude test score (Y). GPA (X) Aptitude Test Score (Y) 2.4 25 2.5 32 2.6 28 2.4 37 3.1 33 3.0 38 3.7 44 3.4 42 3.8 49 Develop an estimated regression equation relating GPA and Aptitude Test score. Use the formulas from our notes to compute this equation. SHOW ALL WORK!! DO NOT USE EXCEL!! If a student’s GPA is 3.35, predict their Aptitude Test scoreMs. Long studied her students' physics test scores and sleeping habits. She found that students who slept less tended to earn lower scores on the test. What conclusion should she make? There is no correlation between test score and amount of sleep. There is a correlation between test score and amount of sleep. There is probably also causation. This is because there is a decrease in a student's test score with a decrease in the amount of sleep. There is a correlation between test score and amount of sleep. There may or may not be causation. Further studies would have to be done to determine this.
- Section 10.1 Question #9 Police sometimes measure shoe prints at crime scenes so that they can learn something about criminals. Listed below are shoe print lengths, foot lengths, and heights of males. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Based on these results, does it appear that police can use a shoe print length to estimate the height of a male? Use a significance level of α=0.05. Shoe Print (cm) 30.2 30.2 31.1 31.4 27.3 Foot Length (cm) 25.2 25.2 27.7 26.6 25.6 Height (cm) 181.7 181.3 191.7 172.2 172.1 The linear correlation coefficient is r= __________. (Round to three decimal places as needed.) The test statistic is t= _________. (Round to two decimal places as needed.) The P-value is _________. (Round…Dr. Erie, a researcher at the Moore County Botany Institute, reported the following correlations. The correlation between pH level of soil and tomato weight is r₁ = -0.4. The correlation between hours of sunlight and tomato weight is r2 = 0.1. According to this information, which of the following statements are true? Select all that apply. Larger tomatoes result from more daily hours of sunlight. Larger tomatoes result from higher soil pH level. Tomato size is related more strongly to hours of sunlight than to soil pH level. None of these are true.An experiment is conducted to see the effect of light intensity on plant growth, what is the dependent variable in this scenario?
