You want to test the hypothesis that the intercept is statistically significantly different from zero. To do so, you conduct a t-test. How many degrees of freedom do you have?anbn-2c4dBoth b. and c. are correct You want to test the hypothesis that the intercept is statistically significantly different from zero. To do so, you conduct a t-test. Your alpha (the risk you accept to make a Type I error) is alpha=0.1. What is your t-statistic to conduct the hypothesis test?At=4.11bt=3.11ct=2.11dt=1.11 The standard error of the slope isa0.89b0.99c1.09d1.19 You want to test the hypothesis that the slope coefficient is statistically significantly different from zero. To do so, you use the attached t-table. Your alpha (the risk you accept to make a Type I error) is alpha=0.1. What is your t-statistic to conduct the hypothesis test?at=-2.00bt=-2.24ct=-2.50dt=-2.75 Which statement is true? Given your alpha of alpha=0.1, youaReject the null for the intercept, and fail to reject the null for the slopebReject the null for the slope, and fail to reject the null for the interceptcReject the null for both the intercept and the slopedFail to reject the null for both the intercept and the slope The explained sum of squares of the regression is ESS =a20b30c40d50 The residual sum of squares of the regression is RSS =a4b8c16d32 The total sum of squares of the regression is TSS =a24b38c56d72 The R-squared of the regression is R2=a0.46b0.56c0.66d0.76 The F-ratio isa4b5c6d7 In a regression with one intercept and only one slope coefficient, which two values will be the same?aThe F-ratio and the t-score for the interceptbThe F-ratio and the t-score for the slopecThe p-value for the F-ratio and the p-value for the t-score of the interceptdThe p-value for the F-ratio and the p-value for the t-score of the slope coefficient The p-value for the F-ratio is betweena1% and 2%b2% and 5%c5% and 10%d10% and 20% In the regression, how many observations have a residual of zero (are "direct hits")?a0b1c2d4 Which statement is false? If the slope of a regression line is zeroaESS is zerobR Square is zerocThe F-Stat is zerodRSS is zero Which statement is false? A linear regression line always goes throughaThe originbThe mean of xcThe mean of ydBoth b. and c. are correct The method used to determine a regression line is calledaOrdinal least trianglesbOpulent least pentagonscObscure least circlesdOrdinary least squares Xi Yi XiYi X₁² (X₁ −X,‚)² | Ŷ, | (Y, –Ŷ,;)ª112 a. g.26 b. h.3 8 c. i.32d.j.46 e. k.52 f. I.m.n.O.p.q.r.S.t.u.V.W.X.y.Z.aa.ab.ac.ad.1412108Yi642O0 1 2 3 4 5 6wXi Xi Yi XiYi X₁² (X₁ −X,‚)² | Ŷ, | (Y, –Ŷ,;)ª112 a. g.26 b. h.3 8 c. i.32d.j.46 e. k.52 f. I.m.n.O.p.q.r.S.t.u.V.W.X.y.Z.aa.ab.ac.ad.1412108Yi642O0 1 2 3 4 5 6wXi

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

You want to test the hypothesis that the intercept is statistically significantly different from zero. To do so, you conduct a t-test. How many degrees of freedom do you have?

a	n
b	n-2
c	4
d	Both b. and c. are correct

You want to test the hypothesis that the intercept is statistically significantly different from zero. To do so, you conduct a t-test. Your alpha (the risk you accept to make a Type I error) is alpha=0.1. What is your t-statistic to conduct the hypothesis test?

A	t=4.11
b	t=3.11
c	t=2.11
d	t=1.11

The standard error of the slope is

a	0.89
b	0.99
c	1.09
d	1.19

You want to test the hypothesis that the slope coefficient is statistically significantly different from zero. To do so, you use the attached t-table. Your alpha (the risk you accept to make a Type I error) is alpha=0.1. What is your t-statistic to conduct the hypothesis test?

a	t=-2.00
b	t=-2.24
c	t=-2.50
d	t=-2.75

Which statement is true? Given your alpha of alpha=0.1, you

a	Reject the null for the intercept, and fail to reject the null for the slope
b	Reject the null for the slope, and fail to reject the null for the intercept
c	Reject the null for both the intercept and the slope
d	Fail to reject the null for both the intercept and the slope

The explained sum of squares of the regression is ESS =

a	20
b	30
c	40
d	50

The residual sum of squares of the regression is RSS =

a	4
b	8
c	16
d	32

The total sum of squares of the regression is TSS =

a	24
b	38
c	56
d	72

The R-squared of the regression is R2=

a	0.46
b	0.56
c	0.66
d	0.76

The F-ratio is

a	4
b	5
c	6
d	7

In a regression with one intercept and only one slope coefficient, which two values will be the same?

a	The F-ratio and the t-score for the intercept
b	The F-ratio and the t-score for the slope
c	The p-value for the F-ratio and the p-value for the t-score of the intercept
d	The p-value for the F-ratio and the p-value for the t-score of the slope coefficient

The p-value for the F-ratio is between

a	1% and 2%
b	2% and 5%
c	5% and 10%
d	10% and 20%

In the regression, how many observations have a residual of zero (are "direct hits")?

a	0
b	1
c	2
d	4

Which statement is false? If the slope of a regression line is zero

a	ESS is zero
b	R Square is zero
c	The F-Stat is zero
d	RSS is zero

Which statement is false? A linear regression line always goes through

a	The origin
b	The mean of x
c	The mean of y
d	Both b. and c. are correct

The method used to determine a regression line is called

a	Ordinal least triangles
b	Opulent least pentagons
c	Obscure least circles
d	Ordinary least squares

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You want to test the hypothesis that the intercept is statistically significantly different from zero. To do so, you conduct a t-test. How many degrees of freedom do you have? a n b n-2 c 4 d Both b. and c. are correct