The line is translated under the translation T = (4, -2). Determine the gradient of line after being translated.
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A: We will use formula for Slope of line passing through two points to find Gradient(Slope) of line
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A: Given line passes through the point -1,-3 and has gradient of -2
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Q: Define gradient.
A: To defineGradient
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A: Given roller coaster track follows, y =(x3 + 20x2 - 1500x) / 720 The figure depicts this is given…
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A: We have to find the gradient of the line.
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A: Since the line has y-intercept and x- intercept at (0,4) and (6,0) respectively so it passes through…
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Q: Explain how to use the general form of a line’s equation to find the line’s slope and y-intercept.
A: General form is Ax +By+C=0
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A: A line intersects the point (2,5) and has a slope of 3 which means that the line passes through the…
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A: Clear solution is given.
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A: find the explanation below
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Q: Find the equation of the line which has a gradient of -2 and passes through the line (-1,8)
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Q: find the gradient of another line perpendicular to it.
A: mutiplication of slope of two perpendicular line is -1.
Q: Obtain an equation for a straight line that passes through the point (3,5) and has a gradient of -4.
A: As we know that; The equation of the line (point-slope form): y-y1=mx-x1 Where; m is the slope or…
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Q: find the gradient of the line
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Q: 3. Show that y = x and y = have tangent lines that are perpendicular. (Remember that perpendicular…
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Q: Parallel to y=2x-9, passing through (1,-5) Point-slope Form: Slope-intercet Form:
A: To find the equation of the required line under the given conditions
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A: Given, A (-2, 0) and B (2, 0) (Slope of AM)*(Slope of BM) = -1/2 Let's assume, The coordinate of…
Q: what is the equation of the line passing throught the point ( 2,4 ) with a gradient of -3?
A: As given points are (2,4) and gradient (m)= -3 ...
Q: Find the gradient of the line joining the points A(3,4) and B(2,3)
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Q: What is the meaning of Gradient of a line ?
A: Consider a line as shown in the below figure.
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A: To find the slope at a particular point x=a, the first derivative of the function is taken. Once the…
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A: The given line
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A: A line passes through the point (0,1) and has a positive slope. So, let
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- What is the gradient of the line segment passing through points A=(8,1)A=(8,1) and B=(−1,12)B=(−1,12)? Give the answer correct to 2 decimal places. Select one: -1.22 -0.82 -8 1.22 not in the listIn economics we are often faced with causal problems where the endogeneity arises because of simultaneity. A classic example is that if you are interested in estimating a demand curve, the issue is what you observe in the data are equli- birum and prices and quantity which is not only a function of demand but also a function of supply. In this excercise we will generalize the problem of simultaneity bias. Consider a situation where we are interested in the effect of Ti on Yi, i.e. obtaining a consistent estimate of α. But Yi also effects Ti. Let Xi be some exogenous covariates affecting both Yi and Ti. Let us imagine you have an exogenous variable Z which only effects Ti but does not directly effect Yi. In particular, consider the following structural equations: Yi = αTi+Xi′β+ui (1) Ti = ρYi+Xi′γ+Ziδ+νi (2) where E(ui | Xi,Zi) = 0 and E(vi | Xi,Zi) = 0 (a) Show why you cannot you use OLS to estimate α consistently in model 1? (b) Solve for the reduced form equation for Ti…A skier travels downhill along two slopes one with gradient -5 and the other with gradient -1/5. state which slope is steeper.
- Define linearization?Throughout the world, natural ocean beaches are beautiful sights to see. If you have visited natural beaches, you may have noticed that when the gradient or dropoff is steep, the grains of sand tend to be larger. In fact, a man-made beach with the “wrong” size granules of sand tends to be washed away and eventually replaced when the proper size grain is selected by the action of the ocean and the gradient of the bottom. Since man-made beaches are expensive, grain size is an important consideration. In the data that follow, of granules of sand, and on natural ocean beaches. x y 0.17 0.63 0.19 0.70 0.22 0.82 0.235 0.88 0.235 1.15 0.30 1.50 0.35 4.40 0.42 7.30 0.85 11.30 Find the sample mean and standard deviation for x and y.find slope of the regression line for x,y (4,5) and (6,8) Do not use two point slope formula
- Autocorrelation is a problem because it causes the Select one: a. estimated standard errors to be incorrect. b. data to be spuriously correlated. c. estimated standard errors to always be too small. d. estimated slope coefficients to be biased. Clear my choiceThe length and steepness of a line that shows the rate of change between two values is called the _____. Function Linear model Independent variable Dependent variable SlopeThe correlation between two variables is given by r =0.0.What does this mean? A)There is a perfect poitive relationship between the two variables B)The best straight line through the date is horizontal C)All of the points must fall exactly on a horizontal straight line D)There is a perfect negative relationship between the two variables.
- Two variables have a positive linear correlation. Is the slope of the regression line for the variables positive or negative?A researcher tells you that there are non-linearities in the relationship between wages and years of schooling. What does this mean? How would you test for non-linearities in the relationship between wages and schooling? How would you estimate the rate of change in wages with respect to years of schooling?In a study of the lung function of children, the volume of air exhaled under force in one second is called FEV1. (FEV1 stands for forced expiratory volume in one second.) Measurements were made on a group of children each year for two years. A linear model was fit to predict this year’s FEV1 as a function of last year’s FEV1 (in liters), the child’s gender (0 = Male, 1 = Female), the child’s height (in m), and the ambient atmospheric pressure (in mm). To try to improve the prediction of FEV1, additional independent variables are included in the model. These new variables are Weight (in kg), the product (interaction) of Height and Weight, and the ambient temperature (in °C). The following MINITAB output presents results of fitting the model FEV1 = β0 + β1 Last FEV1 + β2 Gender + β3 Height + β4 Weight + β5 Height · Weight + β6 Temperature + β7 Pressure + ε a) The F statistic is? b) How many degrees of freedom does the F statistic have? c) Find the P-value for the F statistic. Is the…