Find the line that best fits the given points. and compute the correlation coefficient r. (Round all numerical values to three decimal places.)(-2, -1), (1, 1), (0, 1), (1, 2), (2, 4), (3, 3)y(x) =Compute the correlation coefficient r. (Round your answer to three decimal places.)r=

This question involves finding the regression equation and value of R2 for the given data set. The…

Answered: Find the line that best fits the given…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.6: Regression And Median-fit Lines

Problem 6PPS

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Market supply The following table shows the quantity S of wheat, in billions of bushels, that wheat supplies are willing to produce in a year and offer for sale at a price P, in dollars per bushel. S = quantity of wheat P = price 1.0 1.35 1.5 2.40 2.0 3.45 2.5 4.50 In economics, it is customary to plot S on the horizontal axis and P on the vertical axis, so we will think of S as a variable and of P as a function of S. a. Show that these data can be modeled by a linear function, and find its formula. b. Make a graph of the linear formula you found in part a. This is called the market supply curve. c. Explain why the market supply curve should be increasing. Hint: Think about what should happen when the price increases. d. How much wheat would suppliers be willing to produce in a year and offer for sale at a price of 3.90 per bushel?
The value of correlation coefficient between variables X and Y lies between:A. 1 and 2B. 0 and 1C. -1 and +1D. -1 and 0
The values of 2 variables x and y are given as below. х 140 120 130 125 140 110 125 125 y 98 102 100 101 90 115 100 110 The linear correlation coefficient between x and y is Select one: O a. -0.949 O b. 0.949 c. 0.958 d. -0.958 e. None of the other answers in necessary true.
Match the linear correlation coefficient to the scatter diagram. The scales on the x- and y-axes are the same for each diagram. (a) r = -1 (b) r= -0.933 (c) r=-0.523 (d) r= -0.038 Click the icon to view the scatter diagrams. r= -0.933 r= -1 r= -0.523 r=-0.038 Drag each of the r-values given above into the appropriate area below. Q Response Explanatory Response Explanatory Q *** Response Explanatory Q Response Explanatory
Match the linear correlation coefficient to the scatter diagram. The scales on the x- and y-axes are the same for each diagram. (a) r= - 0.025 (b) r= - 0.969 (c) r= - 0.787 (d) r= - Click the icon to view the scatter diagrams. r= - 0.025 r= - 0.969| r= - 1 r= - 0.787 each of the r-values given above into the appropriate area below. Explanatory Explanatory Explanatory Explanatory Response Response Response Response
Use the value of the linear correlation coefficient r to find the coefficient of determination and the percentage of the total variation that can be explained by the linear relationship between the two variables. r = 0.986, where x = distance in miles and y = fare in dollars What is the value of the coefficient of determination? The coefficient of determination is (Round to four decimal places as needed.) What is the percentage of the total variation that can be explained by the linear relationship between the two variables? Explained variation=% (Round to two decimal places as needed.) C
Please show how you came to your answer.
Help!! Step 5: Calculate the correlation coefficient ?=∑(zxi⋅zyi)n−1
Help please
If variable X remains constant as variable Y decreases, the correlation is said to be: zero negative positive strong
Find the equation of the least-squares regression line ŷ and the linear correlation coefficient r for the given data. Round the constants, a, b, and r, to the nearest hundredth. {(3, −2), (4, −4), (5, −6), (6, −12), (7, −13)} ŷ = r =
Match the linear correlation coefficient to the scatter diagram. The scales on the x- and y-axes are the same for each diagram. (a) r = -0.933 (b) r=-0.787 (c) r = -0.025 (d) r= -1 Click the icon to view the scatter diagrams. r= -1 r= -0.933 r=-0.787 r=-0.025 Drag each of the r-values given above into the appropriate area below. Q Response Explanatory Response Explanatory Response Explanatory Q Response Explanatory Q

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Find the line that best fits the given points. and compute the correlation coefficient r. (Round all numerical values to three decimal places.) (-2, -1), (1, 1), (0, 1), (1, 2), (2, 4), (3, 3) y(x) = Compute the correlation coefficient r. (Round your answer to three decimal places.) r=