The table below show data that has been collected from different fields from various farms in a certainvalley. The table contains the grams of Raspberries tested and the amount of their Vitamin C content inmg. Find a linear model that express Vitamin C content as a function of the weight of the Raspberries.Vitamin Cgramscontent in mng55126515.97520.38525.39530.310533.611538.8Round your answers to 3A) Find the regression equation:decimal places%3DB) Answer the following questions using your Tun-rounded regression equation.mg (round toIf we test 145 grams of raspberries what is the expected Vitamin C content?the nearest tenth)Submit Question

Name: The table below show data that has been collected from different fiel
Uploaded: 2024-03-20T06:38:44.000Z
Channel: Bartleby
Description: The table below show data that has been collected from different fields from various farms in a certainvalley. The table contains the grams of Raspberries tested and the amount of their Vitamin C content inmg. Find a linear model that express Vitami

Given: Grams (X) Vitamin C (Y) 55 12 65 15.9 75 20.3 85 25.3 95 30.3 105 33.6 115 38.8A) Mean of X and Y can be obtained as: X=∑Xn=55+65+......+1157=85Y=∑Yn=12+15.9+......+38.87=25.1714 The required calculation for linear regression shown in the table: X-X¯ Y-Y¯ X-X¯2 X-X¯Y-Y¯ -30 -13.1714 900 395.1429 -20 -9.2714 400 185.4286 -10 -4.8714 100 48.7143 0 0.1286 0 0 10 5.1286 100 51.2857 20 8.4286 400 168.5714 30 13.6286 900 408.8571 ∑X-X¯2=2800 ∑X-X¯Y-Y¯=1258 Slope of linear regression line can be obtained as: b=∑X-X¯Y-Y¯∑X-X¯2=12582800=0.44929 Intercept of linear regression line can be obtained as: a=Y¯-b×X¯=25.1714-0.44929×85=-13.01825 Hence, the linear regression equation is: y=-13.018+0.450x B) When raspberries (x) is of 145 grams then vitamin C content is: y=-13.018+0.450×145=52.232 Therefore, the vitamin C content is 52.2mg.

Math

Statistics

The 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. Vitamin C content in mg grams 55 12 65 15.9 75 20.3 85 25.3 95 30.3 105 33.6 115 38.8 x + Round your answers to 3 A) Find the regression equation: decimal places B) Answer the following questions using your Tun-rounded regression equation. mg (round to If we test 145 grams of raspberries what is the expected Vitamin C content? the nearest tenth)

The 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. Vitamin C content in mg grams 55 12 65 15.9 75 20.3 85 25.3 95 30.3 105 33.6 115 38.8 x + Round your answers to 3 A) Find the regression equation: decimal places B) Answer the following questions using your Tun-rounded regression equation. mg (round to If we test 145 grams of raspberries what is the expected Vitamin C content? the nearest tenth)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

The datasetBody.xlsgives the percent of weight made up of body fat for 100 men as well as other variables such as Age, Weight (lb), Height (in), and circumference (cm) measurements for the Neck, Chest, Abdomen, Ankle, Biceps, and Wrist. We are interested in predicting body fat based on abdomen circumference. Find the equation of the regression line relating to body fat and abdomen circumference. Make a scatter-plot with a regression line. What body fat percent does the line predict for a person with an abdomen circumference of 110 cm? One of the men in the study had an abdomen circumference of 92.4 cm and a body fat of 22.5 percent. Find the residual that corresponds to this observation. Bodyfat Abdomen 32.3 115.6 22.5 92.4 22 86 12.3 85.2 20.5 95.6 22.6 100 28.7 103.1 21.3 89.6 29.9 110.3 21.3 100.5 29.9 100.5 20.4 98.9 16.9 90.3 14.7 83.3 10.8 73.7 26.7 94.9 11.3 86.7 18.1 87.5 8.8 82.8 11.8 83.3 11 83.6 14.9 87 31.9 108.5 17.3…
Construct a scatter plot of the data in the table AND create a linear model. 2 10 12 10 14 14 16 18 18 24 a EGO (99- 2.
The data show the chest size and weight of several bears. Find the regression equation, letting chest size be the independent (x) variable. Then find the best predicted weight of a bear with a chest size of 40 inches. Is the result close to the actual weight of 352 pounds? Use a significance level of 0.05. Chest size (inches) *Weight (pounds) 44 54 328 528 41 55 39 51 418 580 296 503 Click the icon to view the critical values of the Pearson correlation coefficient r. - What is the regression equation? x (Round to one decimal place as needed.)
The table contains price-supply data and price-demand data for corn. Find a linear regression model for the price-supply data where x is supply (in billions of bushels) and y is price (in dollars). Do the same for the price-demand data. Find the equilibrium price for corn. Price ($/bu) Supply (billion bu) Price ($/bu) Demand (billion bu) 2.14 6.41 2.06 9.96 2.25 7.38 2.15 9.42 2.34 7.51 2.26 8.33 2.41 7.78 2.32 8.08 2.46 8.13 2.36 7.86 2.57 8.35 2.48 6.96 ... Question content area right Part 1 Find a linear regression model for the price-supply data where x is supply (in billions ofbushels) and y is price (in dollars). y=enter your response here (Type an equation using x as the variable. Round to two decimal places as needed.)
The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. 11.6 8.1 7.1 3.9 2.9 2.6 2.1 0.7 13.7 10.7 10.2 7 6.5 6.5 5.7 4.7 thousands of automatic weapons y = murders per 100,000 residents This data can be modeled by the linear equation 0.83x + 4.08 a. How many murders per 100,000 residents can be expected in a state with 10.3 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 2.5 thousand automatic weapons? Round to 3 decimal places. murders per 100,000 residents
The 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 50 60 70 80 90 100 110 Vitamin C content in mg 9.3 14.3 18.9 23.5 27.5 31.7 36.9 A) Find the regression equation: y = places x + Round your answers to 3 decimal B) Answer the following questions using your un-rounded regression equation. If we test 140 grams of raspberries what is the expected Vitamin C content? nearest tenth) mg (round to the
An analyst wanted to analyze the relationship between the speed of a car (x) measured in mph and its gas mileage (y). As an experiment a car is operated at several different speeds and for each speed the gas mileage is measured. These data are shown below. Speed 25 35 45 50 60 65 70 Gas Mileage 40 39 37 33 30 27 25 What is the dependent variable? What is the independent variable?
The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. 11.6 8.5 7.1 3.4 2.6 2.8 2.6 0.7 y 13.8 11.3 9.9 6.8 6.4 6.7 6.1 4.4 x = thousands of automatic weapons y = murders per 100,000 residents This data can be modeled by the equation y = 0.85x +4.02. Use this equation to answer the following; Special Note: I suggest you verify this equation by performing linear regression on your calculator. Use the equation with the values rounded to two decimal places to make your predictions. A) How many murders per 100,000 residents can be expected in a state with 6.7 thousand automatic weapons? Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 8 thousand automatic weapons? Answer= Answer = Round to 3 decimal places.
Life expectancy in the United States has been rising since the nineteenth century. The table shows the U.S. life expectancy in selected years. Year 1950 1960 1970 1980 1990 2000 Life expectancy at birth 68.2 69.7 70.8 73.7 75.4 77 a. Let t represent the number of years after 1950, and plot the data. Draw a line a best fit for the data points. 80+ 76- 5 10 15 20 25 30 35 40 45 50 Draw: 72+ 64- 60+ 56 52 48- 44 Clear All
The 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 Vitamin Ccontent in mg 65 16.4 75 20.8 85 24.7 95 30 105 34.9 115 39.5 125 43.7 A) Find the regression equation: y=y= x+x+ Round your answers to 3 decimal places B) Answer the following questions using your un-rounded regression equation. If we test 155 grams of raspberries what is the expected Vitamin C content? mgmg (round to the nearest tenth)