Question

The difference between the actual value and the predicted
value is known as

(2)

coefficient of determination

residual

SSR

SSE

SST

non of them

4. The ................................... can be used when a
level of data measurement is either nominal or ordinal andthe
values are determined by counting the number of occurrences in each
category.

coefficient of determination

correlation coefficient

chi-square goodness-of-fit test

least square regression

contingency analysis

5. To analyzing the relationship between two variables
graphically, we canmeasure the strength of the linear relationship
between two variables using a measure called the
.............................

(2)

correlation coefficient

least square regression

chi-square goodness-of-fit test

coefficient of determination

contingency analysis

Answer #1

What is the relationship between SST, SSR, and SSE?
What is the implication if the coefficient of determination is
1?

Given are five observations for two variables, and . 1 2 3 4 5 4
6 8 12 14
The estimated regression equation for these data is .
^y=1+2.6x
a. Compute SSE, SST, and SSR using the following equations (to 1
decimal). SSE=Σ(yi-^yi)
SST=Σ(yi-^yi) SSR=Σ(yi-^yi)
b. Compute the coefficient of determination r^2 (to 3 decimals).
Does this least squares line provide a good fit?
c. Compute the sample correlation coefficient (to 4
decimals)

Consider the data.
xi
1
2
3
4
5
yi
3
7
4
10
12
The estimated regression equation for these data is
ŷ = 0.90 + 2.10x.
(a)
Compute SSE, SST, and SSR using equations
SSE = Σ(yi −
ŷi)2,
SST = Σ(yi −
y)2,
and
SSR = Σ(ŷi −
y)2.
SSE=SST=SSR=
(b)
Compute the coefficient of determination
r2.
r2
=
Comment on the goodness of fit. (For purposes of this exercise,
consider a proportion large if it is...

Consider the data.
xi
1
2
3
4
5
yi
4
7
6
10
13
The estimated regression equation for these data is
ŷ = 1.70 + 2.10x.
(a) Compute SSE, SST, and SSR using equations SSE =
Σ(yi −
ŷi)2, SST =
Σ(yi −
y)2, and SSR =
Σ(ŷi −
y)2.
SSE=
SST=
SSR=
(b) Compute the coefficient of determination
r2.
r2=
Comment on the goodness of fit. (For purposes of this exercise,
consider a proportion large if it...

Consider the data.
xi
1
2
3
4
5
yi
3
7
4
10
12
The estimated regression equation for these data is ŷ =
0.90 + 2.10x.
(a)Compute SSE, SST, and SSR using equations SSE =
Σ(yi −
ŷi)2,SST =
Σ(yi −
y)2,and SSR =
Σ(ŷi −
y)2.
SSE=
SST=
SSR=
(b)Compute the coefficient of determination
r2.
r2=
Comment on the goodness of fit. (For purposes of this exercise,
consider a proportion large if it is at least 0.55.)...

Consider the data.
xi
1
2
3
4
5
yi
3
7
5
11
14
The estimated regression equation for these data is
ŷ = 0.20 + 2.60x.
(a)
Compute SSE, SST, and SSR using equations
SSE = Σ(yi −
ŷi)2,
SST = Σ(yi −
y)2,
and
SSR = Σ(ŷi −
y)2.
SSE = SST = SSR =
(b)
Compute the coefficient of determination
r2.
r2
=
Comment on the goodness of fit. (For purposes of this exercise,
consider a...

Consider the data.
xi
3
12
6
20
14
yi
65
35
50
15
20
The estimated regression equation for these data is
ŷ = 70 − 3x.
(a)
Compute SSE, SST, and SSR using equations
SSE = Σ(yi −
ŷi)2,
SST = Σ(yi −
y)2,
and
SSR = Σ(ŷi −
y)2.
SSE = SST = SSR =
(b)
Compute the coefficient of determination
r2.
(Round your answer to three decimal places.)
r2
=
Comment on the goodness of fit....

The following data show the brand, price ($), and the overall
score for 6 stereo headphones that were tested by Consumer Reports.
The overall score is based on sound quality and effectiveness of
ambient noise reduction. Scores range from 0 (lowest) to 100
(highest). The estimated regression equation for these data is ŷ =
25.036 + 0.3x, where x = price ($) and y = overall score.
Brand Price Score Bose 180 76 Scullcandy 150 71 Koss 85 61
Phillips/O'Neill...

The correlation coefficient (r) for 19 pairs of data was
calculated to be 0.510. Using s =.05 and Table I, do we conclude
that there is a significant relationship between the variables?
A contingency table with 3 rows and columns would have how many
degrees of freedom?
( T / F ) If a correlation coefficient is negative, this
indicates there is no relationship between the variables.
( T / F ) The Chi-Square distribution can be used to test...

The following data show the brand, price ($), and the overall
score for 6 stereo headphones that were tested by Consumer Reports.
The overall score is based on sound quality and effectiveness of
ambient noise reduction. Scores range from 0 (lowest) to 100
(highest). The estimated regression equation for these data is Y=
22.153 + 0.328 x, where x = price ($) and y = overall score. Brand
Price ($) Score Bose 170 76 Skullcandy 160 71 Koss 95 62...

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