The cubic regression function of the points (1,-1), (2,-13), (3,-45), (-1,11) is y = -2x³ + 2x² - 4x + 3
The points are given as:
(x,y) = (1,-1), (2,-13), (3,-45), (-1,11)
A cubic regression function is represented as:
y = ax³ + bx² + cx + d
Next, we determine the cubic function using a graphing calculator.
From the graphing calculator, we have the following coefficients:
Recall that:
y = ax³ + bx² + cx + d
So, we have:
y = -2x³ + 2x² - 4x + 3
Hence, the cubic regression function of the points is y = -2x³ + 2x² - 4x + 3
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Answer: z= 1.51
Step-by-step explanation:
Test statistic for proportion is given by :-
Where n is sample size ,p is the sample proportion , P Is the population proportion and Q =1 - P.
Given : P=57% = 0.57
Q= 1- P = 1-0.57=0.43
n = 25
Test statistic for proportion will be :-
We should report the value of test statistic z= 1.51
Answer:
Picture 1:
Area of cemicircle 2 π = 6.28 sq.m (approximately)
Total area of figure = 24+6.28= 30.28 sq.m (approximately)
Picture 2:
area of rectangle = 256 sq.m
Area of triangle = 32 sq.m
Total area of figure = 288 sq.m
Picture 3:
Area of top rectangle = 2 sq ft
Area of bottom rectangle = 15 sq ft
Total area of figure = 17 sq ft
Picture 4:
Area of rectangle = 28 sq ft
Area of triangle = 6 sq ft
Area of shaded region = 22 sq ft
Answer:
c
Step-by-step explanation:
Answer:
w + 6 ≥ 27
Step-by-step explanation:
A number w is the variable w.
Increased by 6 means being added by 6.
Answer: That’s actually mode
Step-by-step explanation:
Mode- the value that appears most often in a set of data.
Median- the middle number in a list of numbers ordered from lowest to highest.
Mean- the total of all the values, divided by the number of values.
Range- the difference between the lowest value and the highest value.
Answer:
mode
Step-by-step explanation:
To find the value of 4x + 3y, the given equation can be solved by clearing the fractions and simplifying the expression. The value of 4x + 3y is 30.
To find the value of 4x + 3y, we need to first solve the given equation for either x or y. Let's solve the equation for x:
2/3x + 1/2y = 5
Multiplying both sides of the equation by 6 to clear the fractions gives us:
4x + 3y = 30
Therefore, the value of 4x + 3y is 30.
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