The following table contains data on the relationship between saving and income. Rearrange these...
Question:
The following table contains data on the relationship between saving and income. Rearrange these data into a meaningful order and graph them.
Income per Year | Savings per Year |
---|---|
$15,000 | $1,000 |
0 | -500 |
10,000 | 500 |
5,000 | 0 |
20,000 | 1,500 |
What is the slope of the line? The vertical intercept? Write the equation that represents this line.
What would you predict savings to be at the $12,500 level of income?
Savings and Earnings:
A rational human being when earns, do not only use that to fulfill his wants and desires but also keeps some part as savings for unforeseen circumstances. Savings are not a major part of the earnings but when no earnings are with the consumers, these savings are used then.
Answer and Explanation: 1
Become a Study.com member to unlock this answer! Create your account
View this answerRearranging the given table gives us the following table:
Part a)
Income per Year |
Savings per Year |
0 |
-$500 |
See full answer below.
Ask a question
Our experts can answer your tough homework and study questions.
Ask a question Ask a questionSearch Answers
Learn more about this topic:

from
Chapter 7 / Lesson 12Discover what MPC and MPS in finance are. Learn about their importance and uses. Discover their formula and how to compute them through the given examples.
Related to this Question
- The following table gives data relating a variable X (measured on the horizontal axis) to a variable Y (vertical axis). What is the slope of the line described by this relationship?
- Where does the graph of the following line cross the vertical intercept: y = 1x + -4?
- Graph the equation Y=9+5X. Assume that Y is on the vertical axis, and X is on the horizontal axis. What is the slope of this function?
- Graph the equation Y = 8 + 8X. Assume that Y is on the vertical axis and X is on the horizontal axis. What is the vertical intercept of this function?
- Using the table below: a. Calculate the slope of the line. b. Calculate the y-intercept. c. Write the equation that best describes the graph in point-slope form (y=mx+b). d. If Quantity (x) = 53, what
- Draw and explain the shift of budget line from the following data: X-axis intercept = 160 Y-axis = 32
- Find the slope, y-intercept, and x-intercept of the line given by x - 9 = 5y + 3 and sketch its graph.
- The table gives information about the relationship between two variables, X and Y. What is the slope of the relationship?
- What is slope on a line graph?
- Graph the equation Y=8+2X. Assume that Y is on the vertical axis, and X is on the horizontal axis. What is the vertical intercept of this function?
- How would the equation x=0 and y=5 be represented in an XY graph, and what does it say about the relationship between X and Y? a. The beginning point y=5 on the Y-axis has a horizontal line to the right, X-axis has a vertical line straight up from x=0. T
- Using the table above, determine the slope between the relationship of 'X' and 'Y.' Is the slope a negative number?
- The graph of a straight line contains two points, A and B. At point A on the line, x equals 3 and y equals 8. At point B on the line, x equals 9 and y equals 4. What is the slope of this line?
- Candice spends her entire income on burgers (B) and carrots (C). Draw the budget line for each of the following situations (Burgers on the x axis), identifying the intercepts and the slope in each cas
- A firm's isocost line has the equation 100 = 10L + 5K. Which of the following is correct? A. The horizontal intercept is 20. B. The vertical intercept is 10. C. The slope equals - 1/2. D. This firm has to give up two units of capital to gain an addition
- Find the slope-intercept form of the equation for a straight line with these two points on the line: (x, y) = (10, 20) and (12, 18).
- A firm's isocost line has the equation: 100 = 10L + 5K. Which of the following is correct? a) The horizontal intercept is 20. b) The vertical intercept is 10. c) The slope equals -1/2. d) This firm has to give up two units of capital to gain an additiona
- The concept of slope is very useful in economics because it A.) tells us the value of y for a given x value. B.) constant along the graph of a quadratic equation. C.) tells us where the graph of an equation crosses the vertical intercept. D.) measu
- What is the slope of the following linear equation: y = 6x + 9?
- There are two sets of (x, y) points on a straight line in a two-variable graph, with y on the vertical axis and x on the horizontal axis. If one set of points was (0, 5) and the other set was (5, 20), the linear equation for the line would be: (blank).
- If a variable on the vertical axis increases from 2 to 4 as the variable on the horizontal axis increases from 6 to 10 what is the numerical value of the slope of a line between these two points?
- An equation where x=5 could be represented on a graph where y is on the vertical axis and x is on the horizontal axis as: a. A straight line along the horizontal axis beginning at the point x=5, b. A horizontal line from the origin with slope equal to 5,
- Consider the schedule below. Determine the slope of this AE line, and then complete the schedule. (b.) Draw this graph complete with an APE curve. Hint words: linear relationship. Income Aggregate Exp
- Consider the following set of ordered pairs. |x|4|5|5|5|1 |y|3|5|5|5|0 Calculate the slope and y-intercept for these data. (Round to four decimal places as needed.)
- Given the following table: [TABLE] a. What is the marginal propensity to consume? b. What is the marginal propensity to save? c. Write an equation that describes consumption. d. Write an equation that describes saving.
- If the algebraic expression relating income to expenditure is shown as I = PxX + PyY, show using simple algebra or graphical representation that the slope of the budget line is -Px/Py if good X is on the horizontal axis.
- If the proportion of disposable income that is saved equals 0.80, what is the slope of the consumption function?
- Draw graphs for the following linear functions: a). y = 2x - 3 b). y = 2x + 3 c). y = -2x + 3 d). y = -2x - 3
- What is the slope of the line that goes through (2, 5), (8, 2)?
- The diagram shows the relationship between consumption and income for the years 1960 through 2016. Which of the following statements is true? The line that represents the relationship between consumption and disposable income is called the [{Blank}]. The
- Susan has an income of $10. She buys cherries for $2 a pound and grapes for $4 a pound. Write the equation for her budget line and sketch the graph. What is the slope?
- Both income and essential spending are measured in thousands of dollars; amazingly, these data when plotted on a graph with income on the horizontal x axis, line up perfectly on a straight line. What
- When graphing the consumption function, there will be a line called the 89-degree reference line that will help us easily determine where real disposable income equals planned real consumption (that is, where the consumption function intersects that line)
- If the consumption function is plotted on the vertical axis of a graph with disposable income on the horizontal axis A. the slope of the line will be negative and determined by the marginal propensity to save. B. the vertical axis intercept will be determ
- When an inverse relationship is graphed, the resulting line or curve is: a. horizontal b. vertical c. downward-sloping d. upward-sloping
- Consider the equation y = 14 - 2x. With y on the vertical axis and x on the horizontal axis, the slope of this line is: (a) -(1/2) (b) -(1/7) (c) -2 (d) -7 (e) 14
- When an inverse relationship is graphed, the resulting line or curve is a. horizontal. b. vertical. c. upward-sloping. d. downward-sloping.
- Consider the equation Y=14-2X. With Y on the vertical axis and X on the horizontal axis, the slope of this line is a. -2 b. -7 c. -\frac{1}{7} d. 14 e. -\frac{1}{2}
- Consider the equation Y=14-0.5X. With Y on the vertical axis and X on the horizontal axis, the slope of this line is a. -7 b. -2 c. -\frac{1}{2} d. -\frac{1}{7} e. 14
- If a data line on a graph slopes down as it goes to the right, it is depicting that a. as the value of one variable falls, the value of the other also falls (all else constant). b. the relationship between the variables on the axes is direct. c. the relat
- Solve the following system of simultaneous equation and graph the results. Y = 50 +2x (1) Y = 100 -0.5x (2) Assume that the intercept of equation 1 from problem 4 has increase by 5 units. Graph the ne
- Provide a simple utility representation u(x_1, x_2) for the following: (a) A linear preference relation, where each indifference line has a slope -s. (b) A Leontief preference relation, where the locu
- The total utility curve shows the relationship between what on the horizontal axis and what on the vertical axis?
- What is used to illustrate an independent relationship between two variables? a. An upward-sloping curve b. A downward-sloping curve c. A hill-shaped curve d. A horizontal or vertical line
- Compute the slope b and y-intercept, a, of the least square line; write out the equation for the least square line. A marketing analyst is studying the relationship between x = amount spent on television advertising and y = increase in sales. The followin
- Suppose you run a regression model and find a slope of 2 and an intercept of 0. Which of the following is the most appropriate interpretation? a. Increasing X causes Y to increase by twice as much. b. If we observe X, our best guess of Y is twice as high
- A shift in a curve represents a change in which of the following? a. the variable on the horizontal axis b. the variable on the vertical axis c. a third variable that is not on either axis d. any variable that is relevant to the relationship being graphed
- Suppose that the linear equation for consumption in a hypothetical economy is: C = 50 + 0.7 Y Also suppose that income (Y) is $500. Determine the following values: a. MPC. b. MPS. c. Consumption. d. APC. e. Saving. f. APS.
- Sketch the graph for the following two functions, placing x on the horizontal and y on the vertical. Solve the system of simultaneous equations and show them graphically. 10x - 2y = 40 5x + 4y = 60
- In the equation y=b_0+b_1(x), b_1 is the . a. Coefficient of determination, b. y-intercept of the regression line, c. Slope of the regression line, d. Correleation coefficient.
- Find a general linear equation (Ax + By + C = 0, with A, B, C integers) of the straight line which passes through (5, 2) and (6, -8), and sketch the line.
- If two variables are inversely related, the line that illustrates the relationship will be A) upward sloping. B) downward sloping. C) horizontal. D) vertical.
- What is used to illustrate an independent relationship between two variables? a. an upward-sloping curve b. a downward-sloping curve c. a horizontal or vertical line d. a hill-shaped curve
- Graph Hillary's budget line when income = $20, Pcookies = $1 & Pmilk = $2. Pick some point in the middle as her optimal choice and draw in the appropriate indifference curve. Find the slope. Put cooki
- What is slope? Explain the following concepts in detail. Use formulas or diagrams that could complete your description.
- Suppose Jane has an income of $800. The price of good X is $10 and the price of good Y is $20. a. Sketch the budget line, showing the horizontal and vertical intercepts. b. What is the slope of her
- What is the slope of a 45-degree line?
- Use the graph above to fill out the following table. ||Price||Quantity||Produce or Shutdown||Profit or Loss |15| | | |20| | | |25| | | |55| | | |70| | |
- (i) Find equation representing the budget line. Find the slope of this line. (ii) Take the derivative of your utility function and set it equal to the slope of the budget line. Solve for either x1 or
- Consumption) Use the following data to answer the questions below: Graph the consumption function, with consumption spending on the vertical axis and disposable income on the horizontal axis. If the consumption function is a straight line, what is its s
- What is the slope of the line for which an equation is given as 6x + 3y - 12 = 0?
- A prediction equation for sales and payroll was performed using simple linear regression. In the regression printout shown below, what is the coefficient of determination?
- In the case of a negative relationship between two variables, all else remaining constant: a. the curve will be horizontal. b. graphically, the data line representing the relationship between the variables has a positive slope. c. the values of the two va
- Construct a table from the data shown on the graph below. Which is the dependent variable and which the independent variable? Summarize the data in equation form.
- On a graph, a positive linear relationship.. A) moves down to the right b) moves up to the left c) moves up to the right d) moves down to the left
- Graph y versus x_1\ for\ x_2 = 1, 2, and 3 for the equation y = 1 + 2x_1 + 4x_2.
- A graph has current income on the horizontal axis and future income on the vertical axis. Which statement is true from the graphical perspective? a) If the budget line is relatively steep and the indifference curve of the consumer is relatively flat, then
- What is the graph of a direct relationship?
- In the equation y=b_0+b_1(x), b_0 is the [{Blank}]. a. Coefficient of determination, b. y-intercept of the regression line, c. Slope of the regression line, d. Correleation coefficient.
- The X-intercept of Y = 4X + 12 is: A. -3 B. 3 C. -1/3 D. 12
- According to the following equation, there is a _____ relationship between X and Y. Y = 45 + (1.3) X ; A. linear and positive B. non-linear C. non-linear and negative (inverse) D. negative (inverse)
- In the equation y=b_0+b_1(x), b_0 is the [{Blank}]. a. Coefficient of determination, b. __y__ intercept of the regression line, c. Slope of the regression line, d. Correlation coefficient.
- Provide a simple utility representation u(x_{1},x_{2}) for the following: (a) A linear preference relation, where each indifference line has slope -s. (b) A Leontief preference relation, where the loc
- Describe the relationship between consumption and disposable income, called the consumption schedule. Draw a graph of this schedule. Describe the relationship between saving and disposable income, cal
- a) Write the equation of the linear function that passes through the point (4,2) and (-2, 4). b) Sketch and label the function.
- Advanced Analysis Suppose that the linear equation for consumption in a hypothetical economy is C = 40 + 0.75Y Also suppose that income (Y) is $400. Determine the following values. a. MPC b. MP
- What is the name of the vertical intercept of the consumption function that represents the portion of consumption expenditure not associated with a level of disposable income? a. Consumption intercept b. Autonomous consumption c. Automatic consumption lin
- If on a straight line, line X value changes from 30 to 40 units and because of this the Y value changes from 50 to 20 units. then which of the following gives the slope of this line?
- A simple linear regression equation relates R and W as follows: R = a + bW a. The explanatory variable is______, and the dependent variable is______. b. The slope parameter is______, and the intercept
- Between points A and B, what is the slope?
- What does the vertical distance between the origin and the point at which the total expenditures (TE) curve cuts the vertical axis represent?
- If movement along a graph causes the value on the vertical axis to rise by 5 units and the value on the horizontal axis to fall by 10 units, the slope of the function is a. 2 b. .5 c. 72 d. 5
- The slope of a downward-sloping straight line is calculated as: a. The distance from the vertical intercept of the line to the origin divided by the distance from the origin to the horizontal intercept of the line, b. The distance from the horizontal inte
- Draw a graph without specific data for the expected relationship between the following variables. In each case, state whether the expected relationship is direct or inverse. Explain an additional factor that would be included in the ceteris paribus assump
- Find the x and y intercept for the following: Pf=10, Pc=25,I=1000
- Which of the following graphs shows the cumulative shares of income received by a family? a. Distribution curve b. Lorenz curve c. Ricardian curve d. Quintile curve
- A model (or theory): a. is a general statement about the causal relationship between variables based on facts. b. helps explain and predict the relationship between variables. c. when expressed as a downward (negatively) sloping graph implies an inverse r
- What type of line or curve is used to illustrate an independent relationship between two variables?
- Explain each part of a linear consumption function, including its intercept and its slope. Distinguish between autonomous consumption & induced consumption. How does the consumption function illustrat
- The slope of a downward-sloping straight line is calculated as: a) the distance from the vertical intercept of the line to the origin divided by the distance from the origin to the horizontal intercept of the line b) the distance from the horizontal inter
- Draw and explain a graph demonstrating the expected relationship between the variables number of football games won and the athletic budget. Is this a direct or inverse relationship?
- Which of the following is not an example of a graph of a single variable? A. a pie chart B. a scatter plot C. a bar graph D. a time-series graph
- A theory: a. that is properly constructed does not establish any causal relationship between variables. b. when expressed as an upward (positively) sloping graph implies an inverse relationship between the variables. c. helps explain and predict the relat
- A model (or theory) a. is a general statement about the causal relationship between variables based on facts. b. helps explain and predict the relationship between variables. c. when expressed as a downward (negatively) sloping graph implies an inverse re
- What is the formula to calculate the slope of a line?
- (a) Draw AD curve, label x-axis and y-axis (b) What is the relationship between the inflation and output gap in the AS or PC curve both in the long run and in the short run? Draw the diagram (c) Wha
- The following table is the output of simple linear regression analysis. Note that in the lower right hand corner of the output we give (in parentheses) the number of observations, n, used to perform t
- Any straight line has: A) a positive slope. B) a negative slope. C) a constant slope. D) a slope of zero.
- Draw graphs without specific data for the expected relationships between the following variables. In each case, state whether the expected relationship is direct or inverse. Explain an additional factor that would be included in the ceteris paribus assump
- Evaluate the following statements using graphical analysis. Provide a brief narrative explanation of your graph to support your evaluation. Make sure the axes and curves in your graphs are properly la