Can someone please answer. There is one problem. There's a picture. Thank you!!
1 answer:
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Answer:
a)
b)
c)
Step-by-step explanation:
Data given
x: 500, 700, 750, 590 , 540, 650, 480
y: 7.00, 7.50 , 9.00, 6.5, 7.50 , 7.0, 4.50
Part a
We want to create a linear model like this :
Wehre
And:
With these we can find the sums:
And the slope would be:
Nowe we can find the means for x and y like this:
And we can find the intercept using this:
And the line would be:
Part b
The correlation coefficient is given by:
For our case we have this:
n=7
The determination coefficient is given by:
Part c
Answer:
Missing co-ordinate for the ordered pair is
Y-intercept is
X-intercept is
Step-by-step explanation:
The number of a certain company's video stores can be approximated by the linear equation
where is the number of stores and
represents the number of years after 1990.
To find the missing co-ordinate for the ordered pair solution
For the ordered pair, we are given the value which is =7 i.e 7 years after 1990. Thus we will plugin
in the linear equation to get the
value which is number of stores after 7 years from 1990.
Thus the ordered pair is
To find y-intercept which is the point where the line touches the y-axis, we would plugin in the equation as the x-coordinate is 0 at y-axis.
Thus y-intercept is at point
To find x-intercept which is the point where the line touches the x-axis, we would plugin in the equation as the y-coordinate is 0 at x-axis and thus for
Subtracting both sides by 4682.
Dividing both sides by -264
∴
Thus x-intercept is at point