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- 2. (4) A pediatrician wants to determine the relation that exists between a child's height and head circumference. She randomly selects 11 children from her practice, measures their heights and head circumference, and obtains the following data. 27.75 24.5 25.5 26 Height (inches) 25 Head Circumference 17.5 17.1 17.1 17.3 16.9 (inches) 27.75 26.5 27 26.75 26.75 27.5 17.6 17.3 17.5 17.3 17.5 17.5 Use 0.05 level of significance to test whether there is a linear correlation between a child's height and head circumference. Assume requirements satisfied.Differentiate the function. 2x3 y = 7 4x3 dy dx 3. ||10 Suppose that in a particular state a standardized test is given to all graduating se- niors. Let score denote a student's score on the test. Someone discovers that perfor- mance on the test is related to the size of the student's graduating high school class. The relationship is quadratic: score = 45.6+ .082 class .000147 class², where class is the number of students in the graduating class. (i) How do you literally interpret the value 45.6 in the equation? By itself, is it of much interest? Explain. (ii) From the equation, what is the optimal size of the graduating class (the size that maximizes the test score)? (Round your answer to the nearest integer.) What is the highest achievable test score? (iii) Sketch a graph that illustrates your solution in part (ii). (iv) Does it seem likely that score and class would have a deterministic relationship? That is, is it realistic to think that once you know the size of a student's graduating class you know, with certainty, his or her test…
- The effect of Covid-19 in Small Medium Enterprise (SME) in Malaysia. kindly if you just write some theoritcal data in form of a table,it would be helpful..A family has 15 members and has the following income data. $52,000, $22,000, $92,000, $8,000, $118,000, $62,000, $38,000, $14,000, $132,000, $46,000, $26,000, $96,000, $54,000, $110,000, $80,000 Answer the following questions. Show computations whenever possible. 1. Calculate the percent share of income for each quintile, from the lowest to the highest quintile. 2. 3. ( ) Calculate the cumulative share of income of this family group. What would you say about the income gap and incomes distribution of the family members? 4. Going back to the real world income distribution, other than the progressive tax system, which one of the income redistribution program do you think is the most effective method in helping the near-poor, and why?Q1. freq. density 2.0 Scores 4 10 25 In the histogram above the frequency of students who scored between O and 10 is 20. What is the frequency of students who scored between 10 and 25? A. 1.2 В. 12 C. 18 D. 25
- A car company wants to know the monthly sales made in ($000), based on the brand of vehicle. The data collected was entered on a MINITAB spreadsheet for analysis. Exhibit II below was subsequently generated. Exhibit 2 Model N Mean Median Tri.Mean Std Dev S.E. Mean Hyundai 23 109 135 107.64 * 1.34 Toyota 27 165 124 143.65 9.5 ** Determine the values of * and **. Give the unbiased point estimate for the average monthly earning from Hyundai Give the unbiased point estimate for the variance of monthly earning from Hyundai Assuming normality, construct and interpret a 90% confidence interval for the average monthly earning from Toyota You are required to test at the 5% level of significance the hypothesis that the average monthly earnings on Hyundai Vehicles is equal to $110,000 versus the alternative that it is different from $110,000.a) Figure 1 reports a scatter plot of hhinc (horizontal axis) and size (vertical axis). Do you see any correlation in the data? Can you conclude that a higher net income causes a higher home size? 300000 nhine 100000 200000 400000 Figure 1 000s COOP D001Please annswer numbers 2 and 3
- How was 1.40331 calculated?Please give ne accurate answer with calculationA cottage industry exists in the home-manufacture of ‘country crafts’. Especially treasured are handmade quilts. If the fourth completed quilt took 30 hours to make, and the eighth quilt took 28 hours. What is the percentage learning? Hint: Percentage learning = 100% - (c2/c1)•100%