Answer:
a)
b) r =-0.932
The % of variation is given by the determination coefficient given by
and on this case
, so then the % of variation explained by the linear model is 86.87%.
Step-by-step explanation:
Assuming the following dataset:
Monthly Sales (Y) Interest Rate (X)
22 9.2
20 7.6
10 10.4
45 5.3
Part a
And we want a linear model on this way y=mx+b, where m represent the slope and b the intercept. In order to find the slope we have this formula:
Where:
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:
So the line would be given by:
Part b
For this case we need to calculate the correlation coefficient given by:
So then the correlation coefficient would be r =-0.932
The % of variation is given by the determination coefficient given by
and on this case
, so then the % of variation explained by the linear model is 86.87%.
Answer:
9. 6k + 5 and 2k - 1.
10. 5√2 .
Step-by-step explanation:
9. Area = 12k^2 + 4k - 5
Factoring:
12k^2 - 6k + 10k - 5
= 6k(2k - 1) + 5(2k - 1)
= (6k + 5)(2k - 1)
So the required lengths are 6k + 5 and 2k - 1.
10. The ratio of a leg to the hypotenuse is 1: √2 so if the hypotenus = 10 the length of a leg is 10 / √2
= 10 √2 / 2
= 5√2 .
Hey there! :)
Since 2 4/5 is greater than 1/4, the answer is negative.
You can just subtract 2 4/5 and 1/4 and add the (-) sign
2 4/5 - 1/4
Change the fractions so they can have a common denominator: 20
2 4/5 = 2 16/20
1/4 = 5/20
2 16/20 - 5/20 = 2 11/20
Add the (-) sign → -2 11/20
Answer ⇒ -2 11/20
:)
Answer:
£b = £1.68
A = £44.68
Step-by-step explanation:
Given:
A = 5 + 1.9m + b
Where,
A = total cost
m = number of miles travelled
£b = charge for booking online
£5 = fixed charge
A. Harry
A = £29.48
m = 12 miles
£b = ?
A = 5 + 1.9m + b
29.48 = 5 + 1.9(12) + b
29.48 = 5 + 22.8 + b
29.48 = 27.8 + b
29.48 - 27.8 = b
b = 1.68
£b = £1.68
b) If Sue books online and travels 20 miles, what will be
A = 5 + 1.9m + b
= 5 + 1.9(20) + 1.68
= 5 + 38 + 1.68
= 44.68
A = £44.68
Answer:

Explanation:

the graph is translated 3 units to the left and 2 units down.
vertex: (-3,-2) point: (-1,-6)








