Looking at the graph, answer the questions below:
(3 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
1) The y-intercept is Response area
2) The y-intercept means Response area
3) The slope of the line of best fit has a probabilistic interpretation of Response area in context.
1) The y-intercept is -5.
2) The y-intercept means the value of the dependent variable (y) when the independent variable (x) is zero.
3) The slope of the line of best fit has a probabilistic interpretation of how much the dependent variable (y) is expected to change for each unit increase in the independent variable (x), on average.
Consider the data shown on the graph:
(5 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
a) The y-intercept represents the base price of $ Response area for airfare from NYC.
b) The slope represents a cost of Response area cents per mile traveled.
c) According to the equation given, someone who traveled 2,000 miles from NYC would pay $Response area for their airfare.
d) According to the equation given, someone who paid $500 for airfare from NYC would have traveled Response area miles.
e) If the base cost for airfare changed to $50 and the cost per mile is unchanged, the new equation would be Response area.
a) The y-intercept represents the base price of $150 for airfare from NYC.
b) The slope represents a cost of 10 cents per mile traveled.
c) According to the equation given, someone who traveled 2,000 miles from NYC would pay $2,150 for their airfare.
d) According to the equation given, someone who paid $500 for airfare from NYC would have traveled 3,500 miles.
e) If the base cost for airfare changed to $50 and the cost per mile is unchanged, the new equation would be y = 0.10x + 50.
1) The y-intercept is the point on the graph where the line intersects the y-axis. To find the y-intercept, you can look for the point where the line crosses or touches the y-axis. Once you have found that point, you can determine the y-coordinate, which represents the value of y when x is equal to 0.
2) The y-intercept means the value of y when x is equal to 0. It indicates where the line crosses or intersects the y-axis. It is useful in determining the starting point or initial value of a relationship or function represented by the graph. It helps in understanding how the dependent variable (y) changes with respect to the independent variable (x).
3) The slope of the line of best fit has a probabilistic interpretation in the context of statistical analysis. It represents the rate of change or the magnitude of the relationship between the two variables being studied. In this context, the slope can be interpreted as the expected change in the value of the dependent variable (y) for a one-unit increase in the independent variable (x). It provides insight into the direction and strength of the relationship between the variables.