What proportion of the variation in y can be explained by the variation in the values of x?

Q: In the inverse variation equation y = k/x what is the effect on x when y is doubled?

A: In the inverse variation equation  y=kx  what is the effect on x when y is doubled

Q: A correlation coefficient of 0.961 would mean that the values of x increase as the values of y…

A: A positive means as that as x increases, y increases. Also a positive correlation means that as x…

Q: The electrical resistanceof a wire varies directly with the length of the wire andinversely with the…

A: Given that a resistance of a wire is directly proportional to the length of the wire and inversely…

Q: Suppose that the amount of time it takes to bulld a highway varies directly with the length of the…

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Q: What is needed to investigate the strength of a relationship?

A: We have to write What is needed to investigate the strength of a relationship.

Q: 3. Let b vary directly as a. If b = 80 when a = 20, what is the equation of variation?

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Q: If 10 is subtracted from every item in a data than the coefficient of variation of the resulting set…

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Q: What is the importance of direct and inverse variation in predicting real life scenarios?

A: We discuss the importance of direct and inverse variation in predicting real life scenarios.

Q: The larger ________ is, the larger the proportion of variation explained is. SSY SSY' SSE Y

A: The larger SSY'  is, the larger the proportion of variation explained is

Q: Write a general formula to describe the variation y varies directly with x; y=3 when x=12

A: y varies directly with xSo, we can say y=kx , where k=constant

Q: can you solve this? y varies directly as x. if y =10 when x = 4. What is the constant of…

A: Solution of the problem as follows

Q: Suppose that y varies directly as the square of x. Does doubling the value of x also double the…

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Q: In a construction company, there are three groups of engineers: civil, electrical and mechanical…

A: We know that the coefficient of variation is given by;  CV = SD*100/Mean

Q: Explain the Procedure of Variation of Parameters? Explain the steps ?

A: Given: Explain Procedure of Variation of Parameters.

Q: If the coefficient of determination is 0.90, the percentage of variation in the dependent variable…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Suppose the relationship between Y and X is given by: Y = 50 + 3X By how much does Y change if X…

A: Given,   The relationship between Y and X is given by,   Y = 50 + 3X   The objective is to find how…

Q: The coefficient of determination represents the percent of variation in y related to variation in x.…

A: True Explanation The coefficient of determination is a statistical measurement that examines how…

Q: If s varies directly as the square of t, and s = 10, what is the constant of variation?

A: To determine the constant of variation from the given data

Q: An insurance company wants to know if the average speed at which men drive cars is higher than that…

A: Confounding variable has a strong influence in causal relationship.

Q: Which is the direct linear variation equation for the relationship y varies directly with x and y=10…

A: Given query is to find the direct linear relationship between x and y.

Q: Find a direct variation model that relates y and x. x = 2, y = 24

A: If x and y are related by an equation of the form y=kxn  the relationship is direct variation and y…

Q: The average annual cost (in dollars) of tuition and fees at a 2-year college for selected years is…

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Q: What percentage of the variation in y can be explained by the variation in the values of x? %…

A: Given  r = -0.86 we need to find the percentage of variation in Y that is explained by the…

Q: During a mock examination at a Senior High School in Ghana, there was a core mathematics question…

A: Write A as a function of r A∝r2, that is, A=kr2

Q: Find a direct variation model that relates y and x. х%3 -32, у %3 4

A: Given that X=-32 and Y= 4. Find a direct variation modal that relates Y and X. Two quantity x and y…

Q: If y is directly proportional to x, and y = 56 ​when x = 6, what is the value of x when y =   84?​

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Q: Suppose that y varies inversely as the square of x, and that y = 8 when x = 6. Find y when x = 2.

A: Suppose y varies inversely as the square of x, where k is constant of proportionality.

Q: There's a roughly linear relationship between the length of someone's femur (the long leg-bone in…

A: We have to emphasise the significance of 2.5 in the above equation.

Q: Consider the table of values. If y varies directly with x, the constant of variation is The equation…

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Q: Suppose that y varies directly as the square root of x, and that y equals 12 when x= 36. Find x when…

A: y varies directly as the square root of x. y∝xy=kx where k=proportionality constant Substitute x=36…

Q: (d) Can you think of other variables that might explain the variation in monthly rent?

A: Given: Size (square feet) Rent ($) 850 1950 1450 2600 1085 2200 1232…

Q: The price of a bag of coffee beans, P, varies directly with the size, S, of the bag. If a 20 oz bag…

A: Given that, the price of a bag of coffee beans, P, varies directly with size, S. P∝SP=kS Therefore,…

Q: 4. Let c vary directly as d. If c = 210 when d = 35, what is the equation of variation?

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Q: What type of variation illustrate the increase or decrease of both variables together

A: To describe the type of variation

Q: he value of A is inversely proportional to the sum of B and C, and A is 4, B is 8 and c is 2, what…

A: Simply fallow the algebraic rule of numbers

Q: Define explained variation?

A: Variability (also called spread or dispersion) refers to how spread out a set of data is.…

Q: In regression analysis, the coefficient of determination R2 measures the amount of variation in y…

A: Solution R2  is the coefficient of determination.

Q: Use your intuition to determine whether the variation between the indicated quantities is direct or…

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Q: suppose y varies directly with x, and y = 14 when x = -4. what is the value of y when x = -6

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Q: Write a general formula to describe each variation. z varies directly with the sum of the cube of x…

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: The value of y varies directly with x, and the constant of variation is 6. What is the value of x…

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Q: In a construction company, there are three groups of engineers: civil, electrical and mechanical…

A: Given the data of three groups of engineers: civil, electrical and mechanical engineers. The table…

Q: Considering the blade length and the height of each wind turbine, the two turbines that are…

A: Find the ratio of blade length and height of wind turbine: Consider the given figure:

Q: Use the four-step procedure for solving variation problem: y varies directly as x. y = 65 when x =…

A: y =K×x ; where  K is the proportionality constant  as y=65 and x =5 we got: 65=k×5 k=13

Q: Data was collected on the number of pairs of shoes people own and the number of miles they walk per…

A: From the provided information, Coefficient of determination (r2) = 0.38

Q: What is the value of d if "d varies inversely with the square of= when k-2, and z-10"?

A: Given that: d varies inversely with the square of z.When k=2, z=10

Q: Jane collects data from 40 elementary school students and finds that the relationship between age…

A: Given data: The expression for the score of the student in terms of age is y=3.2x+45. The given age…

Q: The proportion of variation explained is 0.3. If SSY is 20, what is SSY'?

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Q: The coefficient of variation for the male pulse rates is __ % The coefficient of variation for the…

A: Given, Male Female 86 64 68 84 63 81 68 68 70 75 54 85 66 86 54 85 81 89 69…

Q: LI 5. What is the constant of variation for the table of values? x y -4-7 0 1 2 5 4 9

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