(a) How would you characterize the relationship between money spent on advertising and items sold?
1 answer:
Answer:
a) Positive Correlation
b) 69.5
c) Base advertisement fee
Step-by-step explanation:
a) Relationship between money spent on advertising and items sold
If we spent greater amount of money on advertisement, thus, we create more awareness and thus, the number of item sold increases.
Similarly, if less money is spent on advertisement, the number of items sold will be less.
Thus, the money spent on advertisement varies directly with the number of items sold.
Thus, they have a positive relationship or a positive correlation.
b) Money spent in advertising to sell 30 items
We are given the function:
We put x = 30
Thus, the score predicted by model is 69.5 units.
c) Interpretation of 21.5
Comparing the equation to a general linear equation, we get
where m is the slope and c is the y-intercept.
y-intercept tells us the value of function when x is zero.
Thus, for the given scenario it will tell about the basic advertisement fee to be paid if we want to sell 0 products.
Comparing we get,
c = 21.5
Interpretation:
Thus, 21.5 units is the basic amount of advertisement fee that needed to be paid( the number of items sold is 0)
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Answer:
Step-by-step explanation:
2. Given a point with integral coordinates (a, b):
<em>Vertical line that contains (a, b):</em>
So here it's not to hard, all you have to understand, is what a vertical line is. If you were to draw a vertical line, you would notice that the x-values remain constant, and the only thing that changes is the y-value. So you're going to have an equation as such: x=a, where a is some constant value, and y is literally anything. So in this case b doesn't matter. The only thing that matters is that x=a. Which is the equation. As long as x is equal to a, it should pass through (a, b)
<em>Horizontal line that contains (a, b):</em>
<em> </em>So this is very similar to the vertical line, as one of the values is constant, although the variable that's constant is different. If you were to draw a horizontal line, you would notice the x is changing, but the y-value isn't. This means the y is going to equal to constant value, which may look something like: y=b, which is the equation in this case, since as long as y=b, then the x should at some point equal a on the horizontal line
Why is it impossible to write the equation of a vertical line in slope-intercept form:
As mentioned before, in a vertical line, the only thing that varies is the y-value, so if you wrote a vertical line as such: y=mx+b, then the x-value would have to vary. But if we were to put restrictions on the equation so that x can only equal some constant value, that means y would only be one point, but if you draw a vertical line, you would know that the y-value is all real numbers (unless of course you put some range restriction), but even then it's going to be more than one number. The other thing is to write an equation in slope-intercept form, you need to know the slope. which is defined as . and by definition a vertical line only varies in y-values and not x. The value of x is defined in the constant equation: x=a. So the slope would be defined as:
("I typed undefined wrong intentionally since it won't let me type it for some reason"). anyways the point is you can divide by 0. So main takeaways: the x-value can't vary, the formula has to output all real numbers for the y-value (unless some range restriction), the slope will have 0 as the denominator since x doesn't vary meaning x_2 - x_1 will = 0, because x_2 = x_1 (because x doesn't vary)
Given an equation in point slope form, explain how to determine the coordinate of the y-intercept:
There are two ways to do this. The point slope form is expressed as such: y-a = m(x-b). But the m can be distributed so the equation becomes y-a = mx-mb and then add "a" to both equations to get y=mx -mb+a, in this case (0, -mb+a) will be the y-intercept, because if you plug in x as 0, mx will become 0 and it will leave these two values. You could also just of course plug in 0 as x in the point slope intercept form: y-a = m(x-b) and then solve for y. This gives the same result as it simplified to y-a = m(-b) which becomes y-a=-mb which then becomes y=-mb+a.