If two variables are positively related, then Select one: O a. their graph will have a negative slope. O b. they move in the same direction. O c. they are independent of each other. d. they move in onnosite directions
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- Refresh your Math & Graphing Skills SOP-A D For each of the following scenarios, indicate whether the relationship between the two variables is positive or negative, as well as which line on the previous graph has a slope that reflects this type of relationship. X-axis Hint: The X-axis and Y-axis on the graph are not labeled intentionally. You need to substitute the variables from each scenario for the horizontal and vertical axis. For example, in the first scenario, X-axis should be labeled The average grade received" and Y-axis should be labeled "The number of hours spent studying". Scenario As the number of hours spent studying rises, the average grade received rises. As the number of hours spent studying falis, the likelihood of getting an A falls. As the number of hours spent watching TV rises, the average grade received falls. True True or False: Line B has a slope of infinity. O False www Relationship Line YWhat is the dependent variable and which is the independent variable?3. Curves On the first graph, label the maximum of the curve. On the second graph, plot the corresponding slope of the curve. Using terminology presented in class, explain what is happening to the slope starting at the origin and moving right. Be specific about how the slope changes in relationship to the maximum of the curve. Y x X
- Stores commonly offer a cheaper unit price for large quantity purchases. Quantity Unit Price 100.00 80.00 70.00 50.00 40.00 Down 1 2 5 10 20 B P a. Make a graph of the data large enough to include a quantity of 30 (use graph paper, label completely, and choose the correct axis for the independent (x) and dependent (y) variables). b. Find the slope between quantities 1 and 2. Explain the meaning of the slope in context. The slope is which means Select an answer c. Find the slope between quantities 5 and 10. d. Add a trend line to the graph. e. Estimate the unit price for a quantity of 30 to the nearest dollar. S f. Estimate the quantity for a unit price of $44 to the nearest unit. unitsThe following graph contains four lines (A, B, C and D), each of which has a slope that is either positive, negative, zero, or infinite. Y-axisX-axisBDCA For each of the following scenarios, indicate whether the relationship between the two variables is positive or negative, as well as which line on the previous graph has a slope that reflects this type of relationship. Hint: The X-axis and Y-axis on the graph are not labeled intentionally. You need to substitute the variables from each scenario for the horizontal and vertical axis. For example, in the first scenario, X-axis should be labeled “ ice-cream" and Y-axis should be labeled "The temperature". Scenario Relationship Line As the temperature rises, the demand for ice-cream rises. Negative As the temperature rises, the demand for hot cocoa falls. Positive As the temperature falls, the demand for popsicles falls. Negative True or False: Line B has a slope of infinity.…Consider the relationship y = f(x). In this relationship: %3D Oa. y is called the independent variable and x is called the dependent variable. O b. y is called the range and x is called the domain. O c. yis called the dependent variable and x is called the independent variable. O d. y is called the domain and x is called the range.
- S The accompanying graph shows curve XX' and tangents at points A, B, and C. Calculate the slope of the curve at these three points. 50 40 30 U 20 10 A = B = (2, 10) II a X A (12, 50) ac (16, 50) B b' Instructions: Enter your answers as a whole number. If you are entering any negative numbers be sure to include a negative sign (-) in front of those numbers. The slope at: C (26, 10) X' Graph for Problem 7 0246 8 10 12 14 16 18 20 22 24 26 28Please show how to do b) and c). Quantity beef consumed is the dependent variable. Each of the others are the independent variablesI need help with this question please. I also showed the graph as well for context.
- Which type of correlation does the scatter diagram show? A. Weak negative correlation B. Strong positive correlation C. Strong negative correlation D. Weak positive correlation O E. No correlation O O O OWhich of the following pairs is most likely to exhibit an inverse relationship?a. The amount of time you study and your grade point averageb. People’s annual income and their expenditure on personal computersc. Baseball players’ salaries and their batting averagesd. The price of a concert and the number of tickets that people purchaseThe line in the graph shows a relationship between two variables, x and y. What is the slope of the curve? ... The slope of the curve is >>> If the slope is negative, use a minus sign. If the slope is positive, do not use a plus sign. 8 7 5- 4- 3- 2- 1- 0- y 0 1 2 3 4
