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Bas_tet [7]
2 years ago
15

In a regression analysis of a first-order model involving 3 predictor variables and 25 observations, the following estimated reg

ression equation was developed. Ŷ = 10 - 18x1 + 3x2 + 14x3 Also, the following standard errors and the sum of squares were obtained. sb1 = 3 sb2 = 6 sb3= 7 SST = 4800 SSE = 1296 At the 5% level, the coefficient of x2 a. is not found to be significant. b. is significant. c. cannot be tested, because not enough information is provided. d. should be estimated again, because it is incorrect in the above equation
Mathematics
1 answer:
Gekata [30.6K]2 years ago
3 0

Answer:

a. is not found to be significant.

Step-by-step explanation:

Regression analysis is a statistical technique which is used for forecasting. It determines the relationship between two variables. It determines the relationship of two or more dependent and independent variables. It is widely used in stats to find trend in the data. It helps to predict the values of dependent and independent variables. In the given question, there are 25 observations and the regression equation is given. X and Y are considered as dependent variables.

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The data set below represents the ages of 36 executives. find the percentile that corresponds to an age of 4141 years old. 2828
solong [7]

Answer:

37th percentile.

Step-by-step explanation:

We have been given a data set that represents the ages of 36 executives. We are asked to find the percentile that corresponds to an age of 41 years.

28, 29, 29, 32, 32, 33, 34, 34, 34, 34, 37, 37, 38, 41, 41, 42, 45, 45, 47, 47, 47, 48, 50, 51, 53, 56, 56, 56, 61, 61, 62, 63, 64, 64, 65, 66.

Let us count the number of data points below and at 41.

We can see that the number of data points at and below 41 is 13.

We will use percentile formula to solve our given problem.

\text{Percentile rank of x}=\frac{\text{Number of values below x}}{\text{Total number of data points}}\times 100

\text{Percentile rank of 41}=\frac{13}{36}\times 100

\text{Percentile rank of 41}=0.361111\times 100

\text{Percentile rank of 41}=36.11\approx 37

Therefore, the percentile rank that corresponds to age of 41 years old is 37th percentile.  

8 0
2 years ago
A zoo had 2250 visitors on Friday and 4725 on Saturday. What was the percent of increase of the number of visitors on Saturday o
Anit [1.1K]
4725 - 2250, the increase is 2475.

now if we take 2250 to be the 100%, what is 2475 off of it in percentage?

\bf \begin{array}{ccll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
2250&100\\
2475&p
\end{array}\implies \cfrac{2250}{2475}=\cfrac{100}{p}\implies p=\cfrac{2475\cdot 100}{2250}
5 0
2 years ago
WY bisects UV at Y. If UV=x-7 and YV = 3x-29, find UV
gayaneshka [121]

Answer:

3.2 units

Step-by-step explanation:

Given that:

WY bisects UV at Y.

UV=x-7 and

YV = 3x-29,

To find: UV = ?

Solution:

First of all, let us draw the diagram of the given dimensions and bisector line WY of UV.

As UV is bisected i.e. divided in two equal parts at Y by the line WY

Therefore, UY = YV

UV = UY+YV

OR

<em>UV = 2 YV</em>

Now, let us put the given values to solve for x:

x-7=2 \times (3x-29)\\\Rightarrow x-7=2 \times 3x-2 \times 29\\\Rightarrow x-7=6x-58\\\Rightarrow 6x-x=58-7\\\Rightarrow 5x=51\\\Rightarrow \bold{x =10.2 }

Now, we are given that:

UV=x-7

Putting value of x as solved in above step to get the value of UV:

UV=10.2-7\\\Rightarrow \bold{UV=3.2}

So, answer is <em>UV = 3.2 units</em>

3 0
2 years ago
Towns p,q and s are shown Q is 35km due east of P Snis 15km due west of p r is 15km due south of p work out the bearing of r fro
AnnyKZ [126]

Answer:

Step-by-step explanation:

Check attachment for diagram

From the diagram, we can apply Pythagoras theorem to right angle triangle RPS

Then,

Tan θ = opposite / adjacent

Tan θ = 15 / 15

Tan θ = 1

θ = arcTan(1)

θ = 45°

The angle is between the east and south

Then, the bearing of 45°S of east.

The direction is also β

Where

β + θ = 360°

β + 45 = 360°

β = 360 - 45

β = 315°

6 0
2 years ago
If jl= 10x-2 JK = 5x-8 and KL = 7x-12 find KL
natta225 [31]
JK+KL=JL
(5x-8)+7x-12=10x-2
(add common terms together)
12x-20=10x-2
(get the term with x alone on one side of the equation)
2x=18
(divide by 2 to get x alone)
x=9

Find KL:
KL=7(9)-12
KL=51
8 0
2 years ago
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