Answer: y= -4x+13
Step-by-step explanation:
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:

Step-by-step explanation:
Since the shaded area is above the line and the line is solid, you will use the greater-than-or-equal-to sign.
Not to mention inequalities still have a slope and y-intercept. (In this case, the y-intercept will be -5, since the line crosses the y-axis at that point, and the slope will be -2 because the line is going down 2 units and to the right 1 unit.)
Hope this helps :)
Answer:Number of small boxes shipped = 8
Number of large boxes shipped = 13
Step-by-step explanation:
Step-by-step explanation:
Let x be the number of small boxes and let y be the number of large boxes
According to the first statement, a total of 21 boxes were shipped
Equation 1 will be:
x+y=21
According to 2nd statement, the total weight was 1110 and we know the weight of one small box is 25 and large box is 70
Equation 2 will be:
25x+70y=1110
Use the substitution method for solving the equation
Putting the value of x in equation 2
25(21-y) +70y =1110
525-25y+70y = 1110
45y = 585
Y=13
Putting the value of y in equation 1
x+13 = 21
X = 8
Number of small boxes shipped = 8
Number of large boxes shipped = 13