What is the equation for the line
1 answer:
The model equation for any line is
y = mx + b,
where m is slope and b is y-intercept (where the line intersects the y-axis).
The slope is change in y over change in x. You can find the slope by picking two points. The numerator will be the difference in y-coordinates, and the denominator will be the difference in x-coordinates.
As an equation, this is
slope =
,
where the two points are (x1, y1) and (x2, y2).
Let's pick two points to find the slope: (0, 5) and (3, -7).
The slope is
Now that we have the slope m = -4, we need to find the y-intercept b. The line crosses the y-axis at 5, so b = 5.
The equation is y = -4x + 5
y = mx + b,
where m is slope and b is y-intercept (where the line intersects the y-axis).
The slope is change in y over change in x. You can find the slope by picking two points. The numerator will be the difference in y-coordinates, and the denominator will be the difference in x-coordinates.
As an equation, this is
slope =
where the two points are (x1, y1) and (x2, y2).
Let's pick two points to find the slope: (0, 5) and (3, -7).
The slope is
Now that we have the slope m = -4, we need to find the y-intercept b. The line crosses the y-axis at 5, so b = 5.
The equation is y = -4x + 5
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Answer:
a) n =1623
b)
Step-by-step explanation:
1) Notation and definitions
random sample taken
estimated proportion of customers are not satisfied with the service provided by the local dealer
Confidence =0.96 or 96%
Me= 0.02 represent the margin of error
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The population proportion have the following distribution
Part a
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 96% of confidence, our significance level would be given by and
. And the critical value would be given by:
The margin of error for the proportion interval is given by this formula:
(a)
And on this case we have that and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
And replacing into equation (b) the values from part a we got:
And rounded up we have that n=1623
Part b
The margin of error is given by:
So then if w replace the value of n obtained from part a we got: