Question

Equations: An equation with two variables, X and Y, is a simple way to show a relationship given information about X, we can calculate the value (numerical amount) of Y. And every time calculate how much Y changes. For example, the equation Y 3(x) tells us that value of X. It means that every time X increases by 1, Y increases by 3. (substitute) the different values of X in the left-hand column of the table into the equation. of cause a X changes, we can Ph Y is always three times the To calculate the value of Y we fill in (9) Calculate Y for the four different possible values of X in the table below 2 Linear Equations and Graphs: A simple equation with two variables of the type below shows a linear relationship between X and Y. It has this name because the graph is a straight line. All linear equations have the same basic format, which economists indicate with the symbols below (different than mathematicians) Y = a + b(X) constant slope term Y53(x) a the constant term in the equation. It is the value of the Y-intercept (it indicates where the line on the graph will cross the Y-axis, when X 0). On a graph of this line, when the value of a changes the whole line shifts up or down. b the slope of the line. It tells us that whenever X changes, Y changes by b times the amount of the change in X. So if we have a linear equation, we can look at it and find out the slope of the line.
0 0
Add a comment Improve this question Transcribed image text
Answer #1
X Y = 3X
0 0
1 3
2 6
3 9

To find the value of Y we will multiply the corresponding value by 3.

Add a comment
Know the answer?
Add Answer to:
Equations: An equation with two variables, X and Y, is a simple way to show a...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • A) Assume a linear relationship between the variables Y and X , and that Y is...

    A) Assume a linear relationship between the variables Y and X , and that Y is the variable measured on the vertical axis while X is the variable measured on the horizontal axis. A straight line describing this relationship has a y-axis intercept of 10 and a slope of -1.25. What is the equation for this line? B) Is the relationship between Y and X positive or negative? How can you tell just by looking at this equation? C) Use...

  • (8 points) Consider the linear equation y = bo +bix. a. In the equation, bo is...

    (8 points) Consider the linear equation y = bo +bix. a. In the equation, bo is A. the dependent variable B. the slope C. the y-intercept D. the independent variable b. In the equation, b, is A. the independent variable B. the slope C. the y-intercept D. the dependent variable C. Give the geometric interpretation of bo. It indicates A. how much the x-value on the straight line changes when the y-value increases by unit B. the x-value where the...

  • A) Assume a linear relationship between the variables Y and X , and that Y is...

    A) Assume a linear relationship between the variables Y and X , and that Y is the variable measured on the vertical axis while X is the variable measured on the horizontal axis. A straight line describing this relationship has a y-axis intercept of 45 and a slope of 2. What is the equation for this line? B) Is the relationship between Y and X positive or negative? How can you tell just by looking at this equation? C) Based...

  • In the simple linear regression equation, (y a+ bx+ e), the a is the... O A....

    In the simple linear regression equation, (y a+ bx+ e), the a is the... O A. independent variable O B. slope of the fitted line C. dependent variable O D.y-intercept Reset Selection Question 2 of 5 1.0 Points In the simple linear regression equation, (y a+bx+ e) the y is the O A. independent variable O B. dependent variable O C. slope of the fitted line D. y-intercept Question 3 of 5 1.0 Points The R2 for a regression model...

  • Below is a small data set showing observations on two variables X and Y. X Y...

    Below is a small data set showing observations on two variables X and Y. X Y 0.408 0.173 0.275 0.084 0.375 0.115 0.349 0.156 0.312 0.070 0.382 0.210 We are especially interested in determining if there is a linear relationship between Y and X (Y is the dependent variable and X is the explanatory variable). a) Begin by making a scatterplot of Y vs X. b) Estimate a linear equation for predicting Y given X. c) How good is your...

  • Question 14 The regression line equation between two variables is given as: y -2.03 x 19.8...

    Question 14 The regression line equation between two variables is given as: y -2.03 x 19.8 The slope of the regression line is The y-intercept of the regression line is The value of y whenx = 3 is | Question 14 The regression line equation between two variables is given as: y -2.03 x 19.8 The slope of the regression line is The y-intercept of the regression line is The value of y whenx = 3 is |

  • Enter True or False, depending on whether the corresponding statement is true or false. 1. If...

    Enter True or False, depending on whether the corresponding statement is true or false. 1. If the coefficient of correlation r = 0, then there is no linear relationship between the variable y and the variable x. 2. A straight line that slopes upward and exactly fits all data points would produce a correlation coefficient value of one. Consider the linear equation y = Bo + B1x. Enter your answers as a single letter indicating the correct answer, i.e. A...

  • The variables x and y are implicitly related to the equation x^4+ { ^Y down 1...

    The variables x and y are implicitly related to the equation x^4+ { ^Y down 1 e^-t^2 dt =1 ( Y is at the top of the { and 1 is at the bottom of the { ) The point p=(1,1) lies on the graph of the equation. Find the slope of the line tangent to the graph at the point p=(1,1) A.) 2e^-2 B.) 2e C.) -4e D.) -4e^-1 E.) 4e^-2

  • Given are five observations for two variables, x and y. xi 1 2 3 4 5...

    Given are five observations for two variables, x and y. xi 1 2 3 4 5 yi 3 7 8 11 14 Which of the following scatter diagrams accurately represents the data? 1. 2. 3. SelectScatter diagram #1Scatter diagram #2Scatter diagram #3Item 1 What does the scatter diagram indicate about the relationship between the two variables? SelectThere appears to be a linear relationship between x and yThere appears to be a nonlinear relationship between x and yItem 2 Try to...

  • eBook Given are five observations for two variables, and y. 2 1 13 7 18 Yi...

    eBook Given are five observations for two variables, and y. 2 1 13 7 18 Yi 57 46 58 13 16 26 b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? There appears to be a negative linear relationship between 2 and y. C. Try to approximate the relationship between 2 and y by drawing a straight line through the data. Only one straight line can be drawn to provide a...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT