The total number of thousands of tons of coal produced per year over a 10-year period for a certain region is provided in the accompanying dataset. Use double exponential smoothing to determine which pairs of values for a and ß minimize MAD for this dataset. α=0.1, p=0.9; a=0.5, B=0.2; a=1, B=0.6 Click the icon to view the coal production data. ... First find the MAD for each pair of values, a and B. (Type integers or decimals rounded to two decimal places as needed.) α В MAD 0.9 0.2 0.6 0.1 0.5 1 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 22 Year 1 2 3 4 5 6 7 8 9 10 B Coal Production (thousands of tons) C 434333 434332.9 420420 420419.9 439047 439046.9 477192 477191.9 504182 504181.9 526959 526958.9 546824 546823.9 564878 564877.9 556704 556703.9 570973 570972.9 D

Important note: in part D, calculate the exponential method only

Critical Values of the Pearson Correlation Coefficientr a= 0.05 a= 0.01 NOTE: To test H, p-0 against H,: p#0, reject H, jr the absolute value of r is preater than the critical yalue in the table. 0.950 0.990 0.959 0.917 0.875 5 0.878 6 0.811 0.754 7 0.834 0.798 8 0.707 0.666 0.632 0.602 9 10 0.765 11 0.735 12 0.576 0.708 13 0.553 0.684 0.532 0.514 0.497 0.482 14 0.661 15 0.641 16 0.623 17 18 0.606 0.590 0.468 19 0.456 0.444 0.575 20 0.561 25 0.396 0.505 0.463 30 0.361 35 0.335 0.430 40 0.312 0.402 45 0.294 0.279 0.378 0.361 50 60 0.254 0.330 70 80 0.236 0.305 0.286 0.220 90 0.207 0.196 0.269 100 0.256 a= 0.05 a=0.01

please show calc functions ti-84

For the data set, perform exponential smoothing with alpha = 0.1 to determine the forecast for week 20.   week Sales (1000s of gallons) 1 17 2 21 3 19 4 23 5 18 6 16 7 20 8 18 9 22 10 20 11 15 12 22 13 31 14 34 15 31 16 33 17 28 18 32 19 30

The numbers of polio cases in the world are shown in the table for various years. Year Number of Polio Cases (thousands) 1988 1992 1996 2000 2005 2007 350 138 32 6 3.2 1.3 Let f(t) be the number of polio cases (in thousands) t years after 1980. Copy the data to Desmos to draw a scatterplot of the data. Make sure to adjust the years so they represent years after 1980. a) Is it better to model the data with a linear or with an exponential model? Select an answer b) Use regression in Desmos to find an appropriate model for f. Make sure to check Log mode in the parameter window in Desmos if you are fitting an exponential model. f(t) places. Round the coefficients to 4 decimal Hint: Use the variable t from the drop down menu when entering the equation. Do not just type in t. c) Predict the number of polio cases in 2019. d) Find the approximate half-life of the number of polio cases. Round the answer to one decimal place. years

Since the discovery of the tiger gar population in Lake Richmond, the population of bluegill fish has also shown significant change: 2016 2017 2018 2019 2020 2021 2,465 2,092 1,783 1,513 1,287 1,094   What is the multiplicative rate of change in the bluegill population?

It has been determined that there is a significant relationship between the temperature (x) and the number of times that a cricket chirps in a minute (y). Below is a table of values: Number of Temperature chirps 69.7 882 93.3 1188 84.3 1104 76.3 864 88.6 1200 82.6 1032 71.6 960 79.6 900

Run a regression of the logarithm of average hourly earnings, ln(wage) on educ, exper, exper2, female, married and numdep. Discuss the statistical significance of each of the slope coefficients and interpret the coefficient on female and married.

The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. xx 11.8 8.4 7.2 3.6 2.7 2.7 2.2 0.7 yy 13.8 11.5 10 7.2 6.4 6.1 6.2 4.4 xx = thousands of automatic weaponsyy = murders per 100,000 residents This data can be modeled by the equation y=0.84x+4.06.y=0.84x+4.06. Use this equation to answer the following;A) How many murders per 100,000 residents can be expected in a state with 2.7 thousand automatic weapons?Answer =  Round to 3 decimal places.B) How many murders per 100,000 residents can be expected in a state with 4.9 thousand automatic weapons?Answer =  Round to 3 decimal places.