How do i simplify -9-8+(-8×-9)-15 ?
2 answers:
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Solution :
a).
Given :
R = 0.636, ,
Here R = correlation between the two variables
= sample standard deviations of the distance and travel time between the two train stops, respectively.
= means of the distance and travel between two train stops respectively.
The slope of the regression line is given by :
Regression line,
= 0.726
Therefore, the slope of the regression line is 0.726
The equation of the regression line is given by :
The regression line also has to pass through the two means. That is, it has to pass through points (108, 129). Substituting these values in the equation of the regression line, we can get the value of the line y-intercept.
The y-intercept of the regression line is given by :
= 129 - (0.726 x 108)
= 50.592
Therefore, the equation of the line is :
Travel time = 20.592 + 0.726 x distance
b). for each additional mile travelled.
The intercept of the line, = 0.529 can be seen as the time when the distance travelled is zero. It does not make much sense in this context because it seems we have travelled zero distance in 50.529 minutes, but we could interpret it as that the wait time after which we start travelling and calculating the distance travelled and the additional time required per mile. Or we could view the intercept value as the time it takes to walk to the train station before we board the train. So this is a fixed quantity that will be added to travel time. It all depends on the interpretation.
c).
This means that the model accounts for around 40.4% variation in the travel time.
Answer:
(See step-by-step)
Step-by-step explanation:
Let’s start by making A-(X) and W-(Y). So, when substituting the variables you get x=210-35y. When x=0, the answer to the equation is 6. So, the y-intercept (when x=0) is 6 or (0,6). When y=0, the answer to the equation/x-intercept(y=0) is 210 or (210,0). The graph itself looks like the image included.
The domain, realistically, is x>=0 however on the graph itself, the domain is x= All Real Numbers. The range realistically is y>=0, but on the graph it is also All Real Numbers.
The x-intercept is the account when no weeks have passed and no money is lost (210) and the y-intercept is the maximum amount of weeks before there is no more money in the account (6).
