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- Twenty different statistics students are randomly selected. For each of them, their body temperature (°C) is measured and their head circumference (cm) is measured. a. For this sample of paired data, what does r represent, and what does ρ represent? b. Without doing any research or calculations, estimate the value of r. c. Does r change if body temperatures are converted to Fahrenheit degrees? Question content area bottom Part 1 a. Choose the correct answer below. A. r is a parameter that represents the value of the linear correlation coefficient that would be computed by using all of the paired data in the population of all statistics students, and ρ is a statistic that represents the value of the linear correlation coefficient computed from the paired sample data. B. r is a statistic that represents the proportion of the variation in head circumference that can be explained by variation in body temperature, and ρ is a parameter that represents…This is how I interpret the question units of slope: distance/time?asapWhat is the lowest level of measurement for the data where the mode could bedetermined?A. NominalB. OrdinalC. IntervalD. Ratio Consider a data set of 11 distinct measurements with mean equal to A and median equalto B. If the highest value was decreased to a value smaller than the median B, how wouldthe mean and median be affected?A. The mean and median will both decrease.B. The mean and median will not change.C. The mean will not change and the median will decrease.D. The mean will decrease and the median will not change. What is one distinction between a parameter and a statistic?A. A parameter is only based on conceptual measurements, but a statistic is basedon a combination of real and conceptual measurements.B. A statistic changes every time you try to measure it (using different samples), but aparameter remains fixed.C. A parameter changes each time you try to measure it, but a statistic remains fixedacross samples.D. The true value of a statistic can never be known but the true…
- This is how I interpret the question units of slope: distance/timeA regression of average weekly earnings (AWE, measured in dollars) on age(measured in years) using a random sample of college-educated full-timeworkers aged 25–65 yields the following: AWE = 696.7 + 9.6 X Age, R2 = 0.023, SER = 624.1.a. Explain what the coefficient values 696.7 and 9.6 mean.b. The standard error of the regression (SER) is 624.1. What are the unitsof measurement for the SER? (Dollars? Years? Or is SER unit-free?)c. The regression R2 is 0.023. What are the units of measurement for theR2? (Dollars? Years? Or is R2 unit-free?)d. What does the regression predict will be the earnings for a 25-year-oldworker? For a 45-year-old worker?e. Will the regression give reliable predictions for a 99-year-old worker?Why or why not?f. Given what you know about the distribution of earnings, do youthink it is plausible that the distribution of errors in the regressionis normal? (Hint: Do you think that the distribution is symmetric orskewed? What is the smallest value of earnings,…A wedding photographer made $500 on average in the 5 years it has been operational. Asample of 12 months were analyzed and it was found that he made an average of $620.i. Does the value $500 refer to the parameter or to the statistic? ii. Is the value $620 a parameter or a statistic? iii. State two advantages of using a sample statistic rather than a parameter.
- Now suppose that you instead observe the value of exports for all the different products (e.g., corn, soybeans, pork, dairy products, etc.) that Colombia purchases from the US from 2000 to 2019. What type of data is this? Group of answer choices Panel Random sample Time-series Cross-sectionalHow would you describe this data?A company has determined that there are seven possible defects for one of its product lines. Construct a Pareto diagram for the following defect frequencies:Defect Code FrequencyA 10B 70C 15D 90E 8F 4G 3
- What do you mean by Scatterplots, the Sample Covariance, and the Sample Correlation?Provide a trend analysis for income taxes ratios. What does it mean when a company's income taxes ratios increase over the years?Test Design: Suppose I want to test the impact of soccer coaches on soccer teams. How would you test this? Include a few (3 or 4) independent variables to explain the dependent variable. Describe the data and write the regression equation.