I think that -25 should be +25.
so it would be (7x-5)^2
Answer: a. iv. The weight of a car can be used to explain about 79.6% of the variability in gas mileage using a linear relationship.
b. ii. There is a fairly strong, negative relationship between car weight and miles per gallon.
Step-by-step explanation:
- A coefficient of determination (denoted by R²) is a measure in a regression model that determines proportion of the variance in the dependent quantity that is predictable from the independent quantity.
- It is square of correlation coefficient (R).
Here, independent quantity = weight of a car
dependent quantity = miles per gallon (gas mileage)
The coefficient of determination (R²) was reported to be 79.6%.
That means, The weight of a car can be used to explain about 79.6% of the variability in gas mileage using a linear relationship.
- A correlation coefficient(R) tells about the strength and direction of relation .
- It lies between -1 and 1.
For the study, the correlation coefficient R is -0.8921.
There is a fairly strong, negative relationship between car weight and miles per gallon.
Answer:
No.
Step-by-step explanation:
The relationship is not proportional if it does not include (0, 0). Here, the point (1, 0) is your clue that there is no proportional relationship involved.
_____
The relationship is <em>linear</em>. A <em>linear</em> relationship is only a <em>proportional</em> relationship if the line goes through the point (0, 0).
Answer:
The solution is 
Step-by-step explanation:
To solve this exponential equation, we must write both sides as powers of 3.
The equation given is:
Since 
, we have that 
, so
Then
Since both sides are now powers of 3, we can equal them:
The solution is
