BUNDERSTAT12 9.4.001.

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PRACTICE ANOTHER

Utilize the accompanying direct relapse condition to respond to the inquiries.

x1 = 1.7 + 3.0x2 - 7.6x3 + 1.6x4

(a) Which variable is the reaction variable?

x3

x4

x2

x1

Right: Your answer is right.

Which factors are the logical factors? (Select all that apply.)

x3

x4

x1

x2

Right: Your answer is right.

(b) Which number is the consistent term? Rundown the coefficients with their comparing informative factors.

consistent

1.7

Right: Your answer is right.

x2 coefficient

3.0

Right: Your answer is right.

x3 coefficient

- 7.6

Right: Your answer is right.

x4 coefficient

1.6

Right: Your answer is right.

(c) If x2 = 3, x3 = 9, and x4 = 2, what is the anticipated incentive for x1? (Utilize 1 decimal spot.)

- 54.5

Right: Your answer is right.

(d) Explain how every coefficient can be considered as a "slant" under specific conditions.

On the off chance that we take a gander at all coefficients together, the amount of them can be considered as the by and large "slant" of the relapse line.

In the event that we take a gander at all coefficients together, every one can be considered as a "slant."

On the off chance that we hold any remaining logical factors as fixed constants, we can view at one coefficient as a "incline."

On the off chance that we hold all illustrative factors as fixed constants, the block can be considered as a "incline."

Right: Your answer is right.

Assume x3 and x4 were held at fixed however self-assertive qualities and x2 expanded by 1 unit. What might be the comparing change in x1?

Assume x2 expanded by 2 units. What might be the normal change in x1?

Assume x2 diminished by 4 units. What might be the normal change in x1?

(e) Suppose that n = 9 information focuses were utilized to develop the given relapse condition and that the standard blunder for the coefficient of x2 is 0.370. Develop a 99% certainty stretch for the coefficient of x2. (Utilize 2 decimal spots.)

lower limit

furthest breaking point

(f) Using the data of part (e) and level of importance 10%, test the case that the coefficient of x2 is unique in relation to nothing. (Utilize 2 decimal spots.)

t

t basic

End

Reject the invalid speculation, there is adequate proof that 2 contrasts from 0.

Reject the invalid speculation, there is deficient proof that 2 varies from 0.

Neglect to dismiss the invalid speculation, there is lacking proof that 2 contrasts from 0.

Neglect to dismiss the invalid theory, there is adequate proof that 2 contrasts from 0.

Right: Your answer is right.

Clarify what the finish of this test would mean for the relapse condition.

Assuming we presume that 2 isn't not quite the same as 0, we would eliminate x1 from the model.

Assuming we presume that 2 isn't not quite the same as 0, we would eliminate x2 from the model.

Assuming we presume that 2 isn't not quite the same as 0, we would eliminate x4 from the model.

Assuming we presume that 2 isn't unique in relation to 0, we would eliminate x3 from the model.

Right: Your answer is right.

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2.

[0.17/0.45 Points]

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BBUNDERSTAT12 9.4.002.MI.

MY NOTES

ASK YOUR TEACHER

PRACTICE ANOTHER

Utilize the accompanying straight relapse condition to respond to the inquiries.

x3 = 17.7 + 3.9x1 + 8.8x4 1.0x7

(a)

Which variable is the reaction variable?

x7

x1

x4

x3

Which factors are the illustrative factors? (Select all that apply.)

x4

x3

x7

x1

(b)

Which number is the steady term? Rundown the coefficients with their comparing informative factors.

consistent

x1 coefficient

x4 coefficient

x7 coefficient

(c)

In the event that x1 = 1, x4 =

1,

furthermore, x7 = 3, what is the anticipated incentive for x3? (Round your response to one decimal spot.)

x3 =

(d)

Clarify how every coefficient can be considered as a "slant" under specific conditions.

On the off chance that we take a gander at all coefficients together, every one can be considered as a "incline."

In the event that we hold all logical factors as fixed constants, the capture can be considered as a "slant."

On the off chance that we hold any remaining informative factors as fixed constants, we can view at one coefficient as a "incline."

In the event that we take a gander at all coefficients together, the amount of them can be considered as the generally "incline" of the relapse line.

Right: Your answer is right.

Assume x1 and x7 were held at fixed however self-assertive qualities.

On the off chance that x4 expanded by 1 unit, what might we expect the comparing change in x3 to be?

On the off chance that x4 expanded by 3 units, what might be the comparing expected change in x3?

On the off chance that x4 diminished by 2 units, what might we expect for the relating change in x3?

(e)

Assume that n = 10 information focuses were utilized to build the given relapse condition and that the standard mistake for the coefficient of x4 is 0.966. Build a 90% certainty stretch for the coefficient of x4. (Round your responses to two decimal spots.)

lower limit

maximum breaking point

(f)

Utilizing the data of part (e) and level of importance 1%, test the case that the coefficient of x4 is unique in relation to nothing. (Round your responses to three decimal spots.)

t =

t basic =

End

Reject the invalid speculation, there is lacking proof that 4 varies from 0.

Neglect to dismiss the invalid speculation, there is adequate proof that 4 varies from 0.

Reject the invalid speculation, there is adequate proof that 4 varies from 0.

Neglect to dismiss the invalid speculation, there is inadequate proof that 4 contrasts from 0.

Right: Your answer is right.

Clarify how the determination has a direction on the relapse condition.

Assuming we reason that 4 isn't unique in relation to 0, we would eliminate x1 from the model.

Assuming we reason that 4 isn't unique in relation to 0, we would eliminate x3 from the model.

Assuming we reason that 4 isn't unique in relation to 0, we would eliminate x4 from the model.

Assuming we reason that 4 isn't unique in relation to 0, we would eliminate x7 from the model.

Right: Your answer is right.

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BBUNDERSTAT12 9.4.003.

MY NOTES

ASK YOUR TEACHER

PRACTICE ANOTHER

The systolic circulatory strain of people is believed to be identified with both age and weight. For an arbitrary example of 11 men, the accompanying information were acquired.

Systolic Blood pressue

x1 Age (a long time)

x2 Weight (pounds)

x3

132 52 173

143 59 184

153 67 194

162 73 211

154 64 196

168 74 220

137 54 188

149 61 188

159 65 207

128 46 167

166 72 217

(a) Generate synopsis measurements, including the mean and standard deviation of every factor. Figure the coefficient of variety for every factor. (Utilize 2 decimal spots.)

x s CV

x1

%

x2

%

x3

%

Comparative with its mean, which variable has the best spread of information esteems? Which variable has the littlest spread of information esteems comparative with its mean?

x2; x3

x2; x1

x3; x2

x1; x3

(b) For each pair of factors, produce the connection coefficient r. Figure the comparing coefficient of assurance r2. (Utilize 3 decimal spots.)

r r2

x1, x2

x1, x3

x2, x3

Which variable (other than x1) has the best impact (without anyone else) on x1? Would you say that the two factors x2 and x3 show a solid effect on x1? Clarify your answer.

x3; No, both have r2 values a long way from 1.

x3; Yes, both have r2 values near 1.

x2; Yes, both have r2 values near 1.

x2; No, both have r2 values a long way from 1.

Right: Your answer is right.

What percent of the variety in x1 can be clarified by the comparing variety in x2? Answer a similar inquiry for x3. (Utilize 1 decimal spot.)

x2

%

x3

%

(c) Perform a relapse examination with x1 as the reaction variable. Use x2 and x3 as logical factors. Take a gander at the coefficient of various assurance. Which level of the variety in x1 can be clarified by the comparing varieties in x2 and x3 taken together? (Utilize 1 decimal spot.)

%

(d) Look at the coefficients of the relapse condition. Work out the relapse condition. (Utilize 3 decimal spots.)

x1 =

+

x2 +

x3

Clarify how every coefficient can be considered as a slant.

Assuming we hold any remaining illustrative factors as fixed constants, we can view at one coefficient as a "slant."

On the off chance that we take a gander at all coefficients together, the amount of them can be considered as the by and large "slant" of the relapse line.

On the off chance that we take a gander at all coefficients together, every one can be considered as a "incline."

In the event that we hold all informative factors as fixed constants, the block can be considered as a "incline."

Right: Your answer is right.

In the event that age were held fixed, however an individual put on 15 pounds, what might you expect for the comparing change in systolic pulse? (Utilize 2 decimal spots.)

On the off chance that an individual kept a similar weight however got 15 years more established, what might you expect for the relating change in systolic pulse? (Utilize 2 decimal spots.)

(e) Test every coefficient to decide whether it is zero or not zero. Utilize level of importance 5%. (Utilize 2 decimal spots for t and 3 decimal spots for the P-esteem.)

t P esteem

2

3

End

We reject both invalid theories, there is lacking proof that 2 and 3 vary from 0.

We neglect to dismiss both invalid speculations, there is lacking proof that 2 and 3 contrast from 0.

We neglect to dismiss both invalid speculations, there is adequate proof that 2 and

2. (5 pts) Which statement is correct? (Circle only one.) A To test the linear relationship between two variables, we can test the slope coef- ficient in the simple linear regression model using t test with degrees of freedom n - 1, where n is the sample size. B A small R" in the simple linear regression model means the variability of the response variable cannot be well explained by the variability of the explanatory variable by the simple linear regression model. C In a simple linear regression model, the values of response variable should be on the regression line. D None of the above.All questions are weighted equally. Answer all questions. 1. What is meant by simple linear regression? How do you use the scatter diagram with simple linear regression? For the data given in Table 13.1, page 487, draw a scatter plot and the Trend Line using Excel. You should include the screen capture of the Trend Line in a scatter plot, showing as well the linear regression line and the R squared value. 1.2 Determining the Simple Linear Regression EquationSimple Linear Regression . The simple linear regression considers a single regressor, independent, or predictor and a dependent or response variable Y. . The expected value of Y, at each level of x, is a random variable: E(Yx) = Bo + Bix Where, 6.is the intercept and 6, is the slope. . We assume that each observation, Y, can be described by the model Y = Bo + Pix +(@)