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- Consider the following data set *; | -1|2|3 Yi | 3 |2|1 and the model y = a, + a1¤ Calculate the squared error (SE) for the choice a, = 8 and a1 = -1 Answer:a) Calculate the mean and variance of the following population: 60, 72, 40, 60, 88. Mean: Variance:2. Researchers wanted to study physical activity in children, so they gave 74 randomly chosen children a "FitBit" to record how many steps they took each day. Additionally, the scientists recorded each child's Body Mass Index (BMI) and grade in school. Grade was coded as middle or high school. The results of their analysis are below: Table 1 - Factors Contributing to Daily Steps Taken Intercept BMI Grade_middle Estimate 6,350.2 -137.5 1,302.4 SE 316.1 54.9 588.3 a. Calculate the test statistics for each predictor in the model and determine which are significant (you don't have to write full conclusion for each as long as you indicate which are significant). Given: critical value = 1.99 b. Interpret the estimate of Grade_middle in context. c. Suppose a middle-school student with a BMI of 20 took 6,000 steps in a day. Calculate this student's residual.
- The discrepancy between the sample mean and population mean can be remedied by: None of these No change to sample size Decreasing sample size Increasing sample sizeThe formula in which is divided by one less than the number of observations in a sample is called a. sample variance b. mean variance c. population variance d. co-efficient of variationConstruct a stem-and-leaf display for the following data. Use a leaf unit of 10. Note: if there is nothing to fill in the box, you should leave it empty. If your answer is "zero" enter "0". 1,369 1,770 1,108 1,691 11 12 13 14 15 16 17 1,344 1,246 1,561 1,121 1000000 0000000 0000000 1,771 1,147 1,120 1,313 1,236 1,728 1,556 1,664
- 11. The variance for the weight of a breed of cattle is 256 lb2. The mean is 453 lb. How heavy would the animal have to be to be in the top 16% of the herd? Select one:a. 719 lbs.b. 479 lbs.c. 511 lbs.d. 463 lbs.The National Hurricane Center provides data that list the number of large (category 3, 4, or 5) hurricanes that have struck the United States, by decade, from 1851-2020. Is there sufficient evidence that the number of large hurricanes have remained constant (per decade)? What are the degrees of freedom? Decade Count Decade Count 1851-1860 6 1941-1950 10 1861-1870 1 1951-1960 8 1871-1880 7 1961-1970 6 1881-1890 5 1971-1980 4 1891-1900 8 1981-1990 5 1901-1910 4 1991-2000 5 1911-1920 7 2001-2010 8 1921-1930 5 2011-2020 10 1931-1940 8 Chi-squared test for given probabilitiesdata: stormsX-squared = 13.589, df = 16, p-value = 0.6293 A. 107 B. 17 C. 13.589 D. 16Estimate u from the following incomplete data : X= 1 3 4 5 기? 13 21 37
- Each box weighs the same. Which statement is TRUE when comparing the interquartile range (IQR) of the data? 38 32 32 33 29 28 27 26 25 23 Range = Max - Min IQR = Q3-Q1 Brand C Brand DThe following data represents the weight in kg of :a product 1 6 2 7 2 1 4 5 1 3 :Find :Mean 3.9 4.1 3.2 3.8 :Median 3.5 4.5 4.0 2.5 :Mode