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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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It is recommended that a certain medicine be stored in temperatures above 38°F and below 68°F. Enter a compound inequality to sh
Svetllana [295]

Answer: 38 degrees equal 68 degrees which is equal 38 percent is 56% is half of 68% so the answer is 24

Step-by-step explanation:

7 0
3 years ago
4+3(3x + 1) = 29 - 2x
Mademuasel [1]

Answer:

Step-by-step explanation:

4 + 9x + 3 = 29 - 2x

9x + 7 = 29 - 2x

11x = 22

x = 2

6 0
3 years ago
Read 2 more answers
Check whether the function yequalsStartFraction cosine 2 x Over x EndFraction is a solution of x y prime plus yequalsnegative 2
Jobisdone [24]

The question is:

Check whether the function:

y = [cos(2x)]/x

is a solution of

xy' + y = -2sin(2x)

with the initial condition y(π/4) = 0

Answer:

To check if the function y = [cos(2x)]/x is a solution of the differential equation xy' + y = -2sin(2x), we need to substitute the value of y and the value of the derivative of y on the left hand side of the differential equation and see if we obtain the right hand side of the equation.

Let us do that.

y = [cos(2x)]/x

y' = (-1/x²) [cos(2x)] - (2/x) [sin(2x)]

Now,

xy' + y = x{(-1/x²) [cos(2x)] - (2/x) [sin(2x)]} + ([cos(2x)]/x

= (-1/x)cos(2x) - 2sin(2x) + (1/x)cos(2x)

= -2sin(2x)

Which is the right hand side of the differential equation.

Hence, y is a solution to the differential equation.

6 0
3 years ago
What is the lower quartile of the given data set
rodikova [14]

The median of the data would be (20+25)/2, which is 45/2 = 22.5.

The first quartile (Q1), the middle number between the smallest number and the median of the data set, is 9.

The second quartile (Q2) is the median of the data. (22.5)

The third quartile (Q3) the middle value between the median and the highest value of the data, is 35.

Hope this helped!

4 0
3 years ago
a rectangular garden measures 22.7 m by 16.6 m how many meters of fencing materials are needed to enclose it the fencing materia
pantera1 [17]

Answer:

78.6m of fencing

That would cost $982.50

Step-by-step explanation:

Perimeter: 2(22.7)+2(16.6)=P

P = 78.6

Cost: 78.6*12.50

C = 982.50

8 0
3 years ago
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