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Mice21 [21]
3 years ago
9

You work for a parts manufacturing company and are tasked with exploring the wear lifetime of a certain bearing. You gather data

on oil viscosity used and load. You see the regression output given below.
Predictor Coef Stdev t-ratio P
Constant -147.973 41.972 -3.53 0.004181
viscosity 6.262 0.474 13.21 <0.0001
load 0.298 0.04 7.43 <0.0001

s = 13.507 R² = 95.73% R² (adj = 95.02%

Analysis of Variance

Source DF SS MS F
Regression 2 49131.93 24565.96 134.65
Error 12 2189.38 182.45
Total 14 51321.3

Required:
What is the correct conclusion about the regression slopes based solely on the F-test
Mathematics
1 answer:
denpristay [2]3 years ago
8 0

Answer:

We reject the Null and conclude that There is significant evidence that the slope values are greater than 0.

Step-by-step explanation:

Based on the ANOVA output given :

The F critical value can be obtained thus ;

F(df regression, df error)

Using an α-value of 0.01

F(2, 12) at α = 0.01 is 6.927

The F statistic as obtained from the ANOVA table = 134.65

Since, F statistic > F critical we reject the Null and conclude that slope values are significantly > 0

Similarly,

Using the Pvalue :

The Pvalue of the slope are extremely small :

Viscosity <0.0001

Load <0.0001

At α = 0.01, 0.025

The Pvalue < α ; The null will be rejected.

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Find the absolute maximum and minimum values of f(x,y)=xy−4x in the region bounded by the x-axis and the parabola y=16−x2.
skad [1K]

Answer:

The absolute maximum and minimum is 20\; \text{and} -20.

Step-by-step explanation:

We first check the critical points on the interior of the domain using the

first derivative test.

f_x=y-4=0

f_y=x=0

The only solution to this system of equations is the point (0, 4), which lies in the domain.

f_{xx}=0, \;f_{yy}=0\; \text{and}\; f_{xy}=-1

\Rightarrow f_{xx}f_{yy}-f_{xy}=o-1=-1

\therefore (0,4) is a saddle point.

Boundary points -  (4,0),  (-4,0), (0,16)

Along boundary  y=16-x^2

   f=x(16-x^2)-4x

=16x-x^3-4x

\Rightarrow f^'=16-3x^2-4=0

\Rightarrow 3x^2=12

\Rightarrow x=\pm2,\;\;y=14

Values of f(x) at these points.

\begin{array}{}(4,0)=-16\\(-4,0)=16\\(0,16)=0\\(2,14)=20\\(-2,14)=-20\end{array}

Therefore, the absolute maximum and minimum is 20\; \text{and} -20.

6 0
3 years ago
What is the greatest common factor of 90, 126, 180 and 990?
mylen [45]

9514 1404 393

Answer:

  18

Step-by-step explanation:

90 = 18·5

126 = 18·7

180 = 18·10

990 = 18·55

The greatest common factor of these numbers is 18.

__

<em>Comment on the GCF</em>

It can be useful to know Euclid's algorithm for finding the GCF:

  1. Determine the remainder from dividing the larger number by the smaller.
  2. If the remainder is zero, the smaller number is the GCF. If the remainder is non-zero, use it to replace the larger number and repeat from step 1.

For example, 126 mod 90 = 36; 90 mod 36 = 18; 36 mod 18 = 0, so 18 is the GCF of 126 and 90. (The modulo function 'mod' returns the remainder from division.)

3 0
3 years ago
Choose the function table that matches the given rule<br> Rule:output=input -2
kirill [66]

Answer:

option B

Step-by-step explanation:

Rule:output=input -2

LEts analyze the table

we use the input and apply the rule to get the output

LEts subtract 2 from input to get the output

Input             Rule (input -2 )            Output

-3                         -3-2                          -5

-7                         -7-2                          -9

6                          6-2                            4

Option B matches with our table

   

7 0
3 years ago
How to write 6.716 im fraction
Varvara68 [4.7K]

Answer:

To write 6.716 as a fraction you have to write 6.716 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

6.716 = 6.716/1 = 67.16/10 = 671.6/100 = 6716/1000

And finally we have:  

6.716 as a fraction equals 6716/1000

7 0
3 years ago
Practice isolating the variable to solve equations with
bulgar [2K]

Answer:

9 =6x

Step-by-step explanation:

We know this is the answer because the -4x was cancelled out left to the equal sign, and 2x has now become 6x after adding 4x.

5 0
3 years ago
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