An engineer wants to determine how the weight of a gas-powered car, x, affects gas mileage, y. The accompanying data represent the weights of various domestic cars and their miles per gallon in the city for the most recent model year.Complete parts (a) through (d) below.Click here to view the weight and gas mileage data......(a) Find the least-squares regression line treating weight as the explanatory variable and miles per gallon as the response variable.y =+(Round the x coefficient to five decimal places as needed. Round the constant to one decimal place as needed.)(b) Interpret the slope and y-intercept, if appropriate. Choose the correct answer below and fill in any answer boxes in your choice.(Use the answer from part a to find this answer.)O A. For every pound added to the weight of the car, gas mileage in the city will decrease bymile(s) per gallon, on average. It is not appropriate to interpret the y-intercept.B. A weightless car will getmiles per gallon, on average. It is not appropriate to interpret the slope.O C. For every pound added to the weight of the car, gas mileage in the city will decrease bymile(s) per gallon, on average. A weightless car will getmiles per gallon, on average.O D. It is not appropriate to interpret the slope or the y-intercept.(c) A certain gas-powered car weighs 3683 pounds and gets 16 miles per gallon. Is the miles per gallon of this car above average or below average for cars of this weight?The estimated average miles per gallon for cars of this weight ismiles per gallon. The miles per gallon of this car isaverage for cars of this weight.(Round to three decimal places as needed.)(d) Would it be reasonable to use the least-squares regression line to predict the miles per gallon of a hybrid gas and electric car? Why or why not?Car Weight and MPGO A. No, because the absolute value of the correlation coefficient is less than the critical value for a sample size of n = 10.B. Yes, because the hybrid is partially powered by gas.Weight(pounds), xMiles perGallon, yO c. No, because the hybrid is a different type of car.364916O D. Yes, because the absolute value of the correlation coefficient is greater than the critical value for a sample size of n = 10.378116270426349619338021290122379418250725354919388416

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Answered: An engineer wants to determine how the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. x 11.8 8.2 6.8 3.5 2.8 2.8 2.3 0.5 y 13.9 10.8 10.1 7.2 6.5 6.5 6.3 4.8 x = thousands of automatic weapons y = murders per 100,000 residents This data can be modeled by the equation y = 0.81x + 4.35. 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 7 thousand automatic weapons? Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 7.8 thousand automatic weapons? Answer = Answer = Round to 3 decimal places.
Below is a scatterplot of a student’s SAT score and their college GPA. Suppose we want to decide if a student’s SAT score and their GPA are linearly related. What does this scatterplot tell us of the relationship? Support your answer. SAT score_GPA scatterplot.pdf
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The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. x 11.4 8 6.8 3.4 2.4 2.2 2.4 0.4 y 13.5 10.7 10.1 6.9 5.9 5.6 6.3 4.2 x = thousands of automatic weapons y = murders per 100,000 residents This data can be modeled by the equation y = 0.85x + 3.97. 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 10.3 thousand automatic weapons? Round to 3 decimal places. B) How many murders per 100,000 residents can be expected in a state with 4.3 thousand automatic weapons? Answer= Answer = Round to 3 decimal places.
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(SUB-PART C ONLY PLEASE) Each row represents an experimental “run” (in this case, averaged sample of mango wine). Column A shows the run number; Column B shows the percentage of ethanol; Column C shows the amount of glycerol (in g/L); Column D shows the amount of acid (in g/L); Column E shows the temperature of the run (in °C); and Column F shows the pH of the run. Y represents Ethanol of mango wine. 1. Create a scatterplot of the ethanol data for all 20 runs (CREATED) a. Draw a graphical representation of the model that you chose to use. (CREATED WITHIN SCATTERPLOT) b. Comparing the model to your data, evaluate its fit in one or two sentences. (LINEAR MODEL; The conditions to say that the model is a good fit are as given below: To say that the model is the good fit, the coefficient of determination should be high. Atleast one the predictor variables should be statistically significant in predicting the response variable. ) c. Replace the generic Yi = β0 + ε with the information you…
Each row represents an experimental “run” (in this case, averaged sample of mango wine). Column A shows the run number; Column B shows the percentage of ethanol; Column C shows the amount of glycerol (in g/L); Column D shows the amount of acid (in g/L); Column E shows the temperature of the run (in °C); and Column F shows the pH of the run. Y represents Ethanol of mango wine. 1. Create a scatterplot of the ethanol data for all 20 runs a. Draw a graphical representation of the model that you chose to use. b. Comparing the model to your data, evaluate its fit in one or two sentences. (Not sure what this question is getting at. I've provided all the information given) c. Replace the generic Yi = β0 + ε with the information you have here. Please help. I have no idea what this even means or where to start. HERE is the attached dataset to start with; a b c d e f Run Ethanol Glycerol Acidity Temp pH 1 4.8 3.5 0.84 24 3.8 2 9.6…
The table below shows the number of state-registered automatic weapons and the murder rate for several Northwestern states. 11.8 8.2 6.9 3.6 2.5 2.8 2.6 0.4 14 11.3 10.2 7.4 6.5 6.3 5.9 4.5 x thousands of automatic weapons y = murders per 100,000 residents This data can be modeled by the equationý = 0.85x + 4.12. Use this equation to answer the following; %D A) How many murders per 100,000 residents can be expected in a state with 7.3 thousand automatic weapons? Answer = Nearest whole value. B) How many murders per 100,000 residents can be expected in a state with 1 thousand automatic weapons? Nearest whole value Answer =
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