Peter Pan is conducting a simple linear regression analysis. Which predictors are providing significant information regarding the response according to the null hypothesis of the ANOVA F-test?
Most of them
None of them
all of them
Some of them
PocketMon is conducting a simple linear regression analysis, suppose a 99% confidence interval for 1 β1 is calculated as (−2.51, −1.12) . What should be his conclusion when the hypotheses of interest are Ho: 1 0 β1 = vs. Ha : 1 0 β1 ≠ ?
Reject Ho when α = 0.10 but not with α = 0.05 and α = 0.01.
Reject Ho at the 0.10, 0.05, 0.01 confidence levels
Fail to reject Ho when α = 0.10 but not with α = 0.05 and α = 0.01.
Fail to reject Ho at the 0.10, 0.05, 0.01 confidence levels
Zebret adopts a regression model, Z =γ +ωX +ε . If X increases by 0.5 unit, the change in Z
Professor Yeh explores the relation between productivity of auto plant workers and three independent variables including number of years of experience, salaries and gender. Data from a random sample of 7,893 workers was used to fit the multiple regression model. According to the assumptions, what has to have a Normal distribution and constant variance?
The auto plant workers
Productivity
Years
All variables
Skyboy conducted a χ 2 test of independence the p-value is 0.001. What should be hisconclusion about the association between the two variables?
The observed data indicate that the response and the predictor are positively associated.
The observed data indicate that the response and the predictor are associated.
The observed data indicate that there is no association between the response and the predictor.
The observed data indicate none of the above.
In a multiple regression model, Z =γ +ω1X1 +ω2X2 +...+ωnXn +ε , Noisemaker has H0 : ω1=ω2= ... =ωp = against Ha : at least one of ω's ≠ 0 , and the p-value is less than any reasonable α .Then he should conclude that.
Use the following for questions 7-12; Silverpot’s regression study of the effect of the total cost of Producing Noisypet (COST) on the number of output units (OUTPUT) resulted in the following output:
COST =15,670 + 2,418(OUTPUT)
P-value = 0.001 R2 = 0.797
All the explanatory variables have significant effect on Z.
None of the explanatory variables has significant effect on Z.
At least one explanatory variable has significant effect on Z.
None of the above
The predictor variable in this case is equal to:
OUTPUT
R2
COST
COST =15,670 + 2,418(OUTPUT) .
The proportion of variability in COST explained by the OUPTUT is equal to:
55.64%
79.7%
89.27%
None of these
The proportion of variability in output explained by the total costs is equal to:
55.64%
79.7%
89.27%
None of these
How do we interpret the slope of the prediction equation in this case?
As the output increases by 1unit, the total costs decreases on average by 2,418 units
As the total costs increases by 1unit, the output decreases by 2,418 units
As the output increase by 1 unit, the total costs increase on average by 2,418 units
As the output increase by 1 unit, the total costs increase on average by 15,670 units
How do we interpret the intercept in the prediction equation in this case?
When the output is zero, total costs is 15,670 units
When total costs is zero, output is 2,418 units
We do not interpret the intercept since zero output is not meaningful.
None of the above.
The correlation coefficient between total costs and output is equal to:
0.797
-0.893
-8.93
0.893
安步哩計算教授想要瞭解本系學生報考公務人員意願與其是否愛看少年Yi 電影間的關係。他得到以下初步結果,
下列是安步哩計算本研究虛無假說(null hypothesls)下的期望頻率表(expected frequencies table)格式,試求算空格中的期望頻率(expected frequencies)值各是多少?
陶德教授研究學生「解剖學」成績(變數Y)與「易老莊學說」成績(變數X)間關係,他得到:
他利用上列結果,估計迴歸式關係為yˆ = 370 + 0.2x。您同意嗎?如果不同意,試求正確的估計迴歸式
豐楷先生認為變數Z 與變數X 間關係為微笑曲線(smile curve)關係,除了Z=γ +ω1Χ +ω2Χ2 +ε 迴歸模型,試為他列出另兩種迴歸模型。
Consider the given discrete probability distribution.
(1) Find the mean for the discrete probability distribution, μ.
(2) Find the standard deviation for the discrete probability distribution, σ .
(3) Find the probability that the value of x falls within one standard deviation of the mean.Compare this result to the Empirical Rule and explain the reason for the difference.
A small brewery has two bottling machines. Machine A produces 75% of the bottles, and machine B produces 25%. 1 out of every 20 bottles filled by A is rejected for some reason,while 1 out of every 30 bottles from B is rejected. What is the probability that a randomly selected bottle comes from machine A, given that it is accepted?
A recent survey found that 72% of all adults over 50 wear glasses for driving. In a random sample of 100 adults over 50,
(1) What is the mean and standard deviation of the number who wear glasses?
(2) find the probability that more than two of the 100 sampled wear glasses for driving.
How many tissues should a package of tissues contain? Researchers have determined that a person uses an average of 100 tissues during a cold. Suppose a random sample of 100 people yielded the following data on the number of tissues used during a cold: mean=109, standard deviation=5.
(1) Identify the null and alternative hypothesis for a test to determine if the mean number of tissues used during a cold is greater than 100.
(2) Using the z-statistic to test the hypothesis at the α = 0.05 level of significance.
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