MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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- The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. xx11.68.46.73.52.72.62.30.7yy1410.99.976.26.35.74.3 xx = thousands of automatic weaponsyy = murders per 100,000 residents This data can be modeled by the equation y=0.87x+3.83.y=0.87x+3.83. Use this equation to answer the following;A) How many murders per 100,000 residents can be expected in a state with 8.6 thousand automatic weapons?Answer = Round to 3 decimal places.B) How many murders per 100,000 residents can be expected in a state with 6.6 thousand automatic weapons?Answer = Round to 3 decimal places.arrow_forwardBelow, we see a snippet of a dataset that consists of 128 observations and 15 variables. We present two models describing the linear relationship between the BodyFat and other variables. Density BodyFat Age Weight Height Neck Chest Abdomen Hip Thigh Knee Ankle 1 1.0708 12.3 23 154.25 85.2 94.5 59.0 37.3 21.9 2 1.0853 6.1 22 173.25 83.0 98.7 58.7 37.3 3 1.0414 87.9 99.2 59.6 38.9 4 1.0751 86.4 101.2 5 1.0340 100.0 101.9 63.2 42.2 6 1.0502 94.4 107.8 66.0 42.0 23.4 24.0 67.75 36.2 93.1 72.25 38.5 93.6 25.3 22 154.00 66.25 34.0 95.8 10.4 26 184.75 72.25 37.4 101.8 28.7 24 184.25 71.25 34.4 97.3 20.9 24 210.25 74.75 39.0 104.5 60.1 37.3 22.8 24.0 25.6 Biceps Forearm Wrist 1 32.0 27.4 17.1 2 30.5 28.9 18.2 3 28.8 25.2 16.6 32.4 29.4 18.2 5 32.2 27.7 17.7 6 35.7 30.6 18.8 Analysis of Variance Table Model 1: x$BodyFat ~ x$Neck Model 2: x$BodyFat x$Neck + xSWeight + x$Height F Pr (>F) Res. Df RSS Df Sum of Sq 1 250 13348.1 2 248 9461.4 2 3886.7 50.939 < 2.2e-16 *** --- Signif. codes: 0***…arrow_forwardThe table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. 11.8 8.6 6.8 3.7 2.8 2.6 2.6 0.9 14.1 11.5 9.8 6.9 6.6 6.5 6.2 4.6 thousands of automatic weapons y = murders per 100,000 residents %3D This data can be modeled by the equation y = 0.86x + 3.99. Use this equation to answer the following; A) How many murders per 100,000 residents can be expected in a state with 7.7 thousand automatic weapons? Answer = Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 1.9 thousand automatic weapons? Answer = Round to 3 decimal places.arrow_forward
- Answer this question in R. Show as much of your work as possible.arrow_forwardThe table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. 11.4 8.5 6.6 3.6 2.3 2.5 2.1 0.6 y 13.4 11.4 9.3 7.2 5.9 5.9 5.6 4.3 x = thousands of automatic weapons y = murders per 100,000 residents This data can be modeled by the equation y = 0.85x + 3.88. Use this equation to answer the following: Special Note: I suggest you verify this equation by performing linear regression on your calculator. A) How many murders per 100,000 residents can be expected in a state with 10 thousand automatic weapons? Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 9 thousand automatic weapons? Answer = Answer= Round to 3 decimal places.arrow_forwardThe table below shows the number of state-registered automatic weapons and the murder rate for several Northwesterm states. 11.9 8.6 7.1 3.9 2.3 2.3 2.4 0.9 14.2 11.4 10.3 7.4 5.8 5.9 6. 4.6 I = thousands of automatic weapons y = murders per 100,000 residents %3D This data can be modeled by the linear equation ŷ = 0.88x + 3.88 a. How many murders per 100,000 residents can be expected in a state with 3 thousand automatic weapons? Round to 3 decimal places. murders per 100,000 residents b. How many murders per 100,000 residents can be expected in a state with 8.7 thousand automatic weapons? Round to 3 decimal places. murders per 100,000 residents Question Help: D Video Submit Questionarrow_forward
- The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. x 11.9 8.6 7.1 3.8 2.3 2.3 2.2 0.3 y 14.3 11 9.9 7.3 5.7 5.7 5.6 4.1 x = thousands of automatic weaponsy = murders per 100,000 residentsThis data can be modeled by the equation y=0.87x+3.75. Use this equation to answer the following; Special Note: I suggest you verify this equation by performing linear regression on your calculator.A) How many murders per 100,000 residents can be expected in a state with 5 thousand automatic weapons?Answer = Round to 3 decimal places.B) How many murders per 100,000 residents can be expected in a state with 10.5 thousand automatic weapons?Answer = Round to 3 decimal places.arrow_forwardThe table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. I 11.9 8.3 7.1 3.5 2.4 2.8 2.2 0.4 Y 14.4 11.2 10.3 7.2 6.1 6.2 6.1 4.7 I thousands of automatic weapons y = murders per 100,000 residents This data can be modeled by the equation ŷ = 0.86x + 4.14. Use this equation to answer the following. A) How many murders per 100,000 residents can be expected in a state with 4.1 thousand automatic weapons? Answer = B) How many murders per 100,000 residents can be expected in a state with 10.7 thousand automatic weapons? Answer Round to 3 decimal places. = Round to 3 decimal places.arrow_forwardD. Construct a scatterplot for the following data and use it to comment on between the variables. the form, direction, and strength Age of a 13 14 18 19 person, 11 15 16 17 20 years Weight, kg 48 50 40 42 38 35 45 51 48 47 Age of a car, 2. 0.5 1.5 3 4.5 5 years Mieage. kmL 16 15 10 12 10 12 11 10 11 8 2.arrow_forward
- Prehistoric pottery vessels are usually found as sherds (broken pieces) and are carefully reconstructed if enough sherds can be found. Information taken from Mimbres Mogollon Archaeology by A. I. Woosley and A. J. McIntyre (University of New Mexico Press) provides data relating x = body diameter in centimeters and y = height in centimeters of prehistoric vessels reconstructed from sherds found at a prehistoric site. The following Minitab printout provides an analysis of the data. Predictor Coef SE Coef T P Constant -0.212 2.429 -0.09 0.929 Diameter 0.7527 0.1686 5.33 0.013 S = 4.16190 R-Sq = 81.2% (c) The formula for the margin of error E for a c% confidence interval for the slope ? can be written as E = tc(SE Coef). The Minitab display is based on n = 12 data pairs. Find the critical value tc for a 90% confidence interval in the relevant table. Then find a 90% confidence interval for the population slope ?. (Use 3 decimal places.) tc lower limit upper…arrow_forwardThe table below show data that has been collected from different fields from various farms in a certain valley. The table contains the grams of Raspberries tested and the amount of their Vitamin C content in mg. Find a linear model that express Vitamin C content as a function of the weight of the Raspberries. grams 60 70 80 90 100 110 120 Vitamin C content in mg 14.3 18.5 22.5 28.1 32 37.2 41.4 A) Find the regression equation: Y x + Round your answers to 3 decimal places B) Answer the following questions using your un-rounded regression equation. If we test 150 grams of raspberries what is the expected Vitamin C content? mg (round to the nearest tenth)arrow_forwardThe table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. 11.8 8.5 7 3.3 2.5 2.8 2.2 0.6 14.2 11.6 10.3 7.1 6.4 6.7 6.2 4.8 thousands of automatic weapons = murders per 100,000 residents This data can be modeled by the linear equation ŷ = 0.84x + 4.33 a. How many murders per 100,000 residents can be expected in a state with 9.1 thousand automatic weapons? Round to 3 decimal places. murders per 100,000 residents b. How many murders per 100,000 residents can be expected in a state with 4.3 thousand automatic weapons? Round to 3 decimal places. murders per 100,000 residentsarrow_forward
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