A nutrition label states that there are 36g of carbohydrates in each serving. This accounts for 12% of a daily value. How many g
rams of carbohydrates are recommended per day?
2 answers:
Answer: 300 gm
Step-by-step explanation:
Given : A nutrition label states that there are 36g of carbohydrates in each serving.
This accounts for 12% of a daily value.
which can be written as 0.12.
Let x be the total grams of carbohydrates are recommended per day.
Then , we have the following equation:_
Now, the total grams of carbohydrates are recommended per day. = 300 gm
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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%.