A) choose the linear model that passes through the most data points on the scatterplot.
1 answer:
Answer: b
Explanation:
The line of best fit to a scattergram is obtained in linear regression analysis by minimizing the sum of the squared errors.
For example, in the diagram shown below, there are n data points in the scattergram.
The error for the i-th data point is
.
The coefficients (a and b) for the line of best fit are determined using calculus, to minimize
.
Explanation:
The line of best fit to a scattergram is obtained in linear regression analysis by minimizing the sum of the squared errors.
For example, in the diagram shown below, there are n data points in the scattergram.
The error for the i-th data point is
The coefficients (a and b) for the line of best fit are determined using calculus, to minimize
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Answer:
84
9 choose 3
Step-by-step explanation:
Step-by-step explanation:
The time dilation formula is given by
where t is the time measured by the moving observer and F(t) is the time measured by the stationary earth-bound observer and <em>v</em><em> </em> is the velocity of the moving observer expressed as a fraction of the speed of light.
a) If the observer is moving at 80% of the speed of light and observes an event that lasts for 1 second, a stationary observer will see the same event occurring over a time period of
This means that any event observed by this moving observer will be seen by a stationary observer to occur 67% longer.
b) Given:
t = 1 second
F(t) = 2 seconds
We need to find the speed of the observer such that an event seen by this observer will occur twice as long as seen by a stationary observer. Move the term containing the radical to the left side so the equation becomes
Take the square of both sides, we get
Solving for <em>v</em>, we get
or
Putting in the values for t and F(t) we get
This means that the observer must moves at 86.6% of the speed of light.