Use cubic regression to find afunction that fits the following
points.
(1,-1), (2,-13), (3,-45),(-1,11)
y = [?]x3+[ ]x2+0 ]x+[ ]

Answers

Answer 1
Answer:

The cubic regression function of the points (1,-1), (2,-13), (3,-45), (-1,11) is y = -2x³ + 2x² - 4x + 3

How to determine the function?

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:

  • a = -2
  • b = 2
  • c = -4
  • d = 3

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

Read more about regression functions at:

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One basketball team played 30 games throughout their entire season. If this team won 80% of those games, how many games did they win? Enter a numerical answer only.
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Judging on the basis of​ experience, a politician claims that 57​% of voters in a certain area have voted for an independent candidate in past elections. Suppose you surveyed 25 randomly selected people in that​ area, and 18 of them reported having voted for an independent candidate. The null hypothesis is that the overall proportion of voters in the area that have voted for an independent candidate is 57​%. What value of the test statistic should you​ report?

Answers

Answer: z= 1.51

Step-by-step explanation:

Test statistic for proportion is given by :-

z=\frac{p-P}{\sqrt{(PQ)/(n)}}

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

p=(18)/(25)=0.72

Test statistic for proportion will be :-

z=\frac{0.72-0.57}{\sqrt{(0.57*0.43)/(25)}}\approx1.51

We should report the value of test statistic z= 1.51

Helpp please with all four questions

Answers

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

Select all the equations where b = 11 is a solution. I need the answer quickly please.​

Answers

Answer:

c

Step-by-step explanation:

The answer is : D and C

Translate the sentence into an inequality.A number w increased by 6 is greater than or equal to 27.

Answers

Answer:

w + 6 ≥ 27

Step-by-step explanation:

A number w is the variable w.

Increased by 6 means being added by 6.

The observation which occurs most frequently in a sample is the mean

Answers

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:

If 2/3x+1/2y=5 what is the value of 4x+3y

Answers

Final answer:

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.

Explanation:

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.

Learn more about Solving Equations here:

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Slope=
2.000
2.667

=1.333
x−intercept=
4
30

=
2
15

=7.50000
y−intercept=
−3
30

=
−1
10

=−10.00000