1. the answer is b = 30 .... you first simply both sides of the equation then flip it then multiply both sides by 10/13
2. the answer is g = 3/2 ...... multiply both sides by 5/2
First we must convert these mixed numbers to improper fractions:


So then we need the product of these two numbers. That means to multiply:

But then we need the value of half of this product. So then let's multiply by one-half:

Then we can convert this from an improper fraction to a mixed number:

And so this number is half of the product of the initial two numbers.
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:
It will still be a frame
Step-by-step explanation: