Question

Given are five observations collected in a regression study on
two variables.

x_{i} |
2 | 6 | 9 | 13 | 20 |

y_{i} |
7 | 18 | 9 | 26 | 23 |

- Which of the following scatter diagrams accurately represents
the data?

**Scatter diagram #1**

**Scatter diagram #2**

**Scatter diagram #3**

SelectScatter diagram #1Scatter diagram #2Scatter diagram #3Item 1 - Compute
*b*_{0}and*b*_{1}(to 1 decimal).

*b*_{1}

*b*_{0}

Complete the estimated regression equation (to 1 decimal).

= +*x* - Use the estimated regression equation to predict the value of
*y*when*x*= 6 (to 1 decimal).

=

Answer #1

The calculations are below

x | y | s1=(x-m1)^2 | s1=(y-m2)^2 | s3=(x-m1)*(y-m2) |

2 | 7 | 64 | 92.16 | 76.8 |

6 | 18 | 16 | 1.96 | -5.6 |

9 | 9 | 1 | 57.76 | 7.6 |

13 | 26 | 9 | 88.36 | 28.2 |

20 | 23 | 100 | 40.96 | 64 |

m1=sum(x)/5 | m2=sum(y)/5 | s2x=sum(s1)/4 | s2y=sum(s2)/8 | sxy=sum(s1)/8 |

10 | 16.6 | 47.5 | 70.3 | 42.75 |

sx=sqrt(s1x) | sy=sqrt(s1y) | |||

6.892 | 8.3845 | |||

Given are five observations collected in a regression study on
two variables.
xi
2
6
9
13
20
yi
7
18
9
26
23
Which of the following scatter diagrams accurately represents
the data?
Scatter diagram #1
Scatter diagram #2
Scatter diagram #3
SelectScatter diagram #1Scatter diagram #2Scatter diagram #3Item
1
Compute b0 and b1 (to 1
decimal).
b1
b0
Complete the estimated regression equation (to 1 decimal).
= + x
Use the estimated regression equation to predict the value of
y...

Given are five observations collected in a regression study on
two variables.
xi
2
6
9
13
20
yi
7
18
9
26
23
Which of the following scatter diagrams accurately represents
the data?
Scatter diagram #1
Scatter diagram #2
Scatter diagram #3
SelectScatter diagram #1Scatter diagram #2Scatter diagram #3Item
1
Compute b0 and b1 (to 1
decimal).
b1
b0
Complete the estimated regression equation (to 1 decimal).
= + x
Use the estimated regression equation to predict the value of
y...

Given are five observations collected in a regression study on
two variables.
xi
2
6
9
13
20
yi
7
18
9
26
23
Which of the following scatter diagrams accurately represents
the data?
Scatter diagram #1
atter diagram #1
Scatter diagram #2
Scatter diagram #3
SelectScatter diagram #1Scatter diagram #2Scatter diagram #3Item
1
Compute b0 and b1 (to 1
decimal).
b1
b0
Complete the estimated regression equation (to 1 decimal).
= + x
Use the estimated regression equation to predict the...

Given are five observations collected in a regression study on
two variables.
xi
2
6
9
13
20
yi
9
18
8
25
21
A. Develop the estimated regression equation for these data.
B.Use the estimated regression equation to predict the value of
y when
x = 13.

Given are five observations for two variables, x and
y.
xi
1
2
3
4
5
yi
4
6
6
11
15
Which of the following scatter diagrams accurately represents
the data?
1.
2.
3.
What does the scatter diagram indicate about the relationship
between the two variables?
Develop the estimated regression equation by computing the the
slope and the y intercept of the estimated regression line
(to 1 decimal).
ŷ = + x
Use the estimated regression equation to...

Given are five observations for two variables, x and
y.
xi
1
2
3
4
5
yi
2
8
6
11
13
a) Develop the estimated regression equation by computing the
values of b0 and
b1 using
b1 =
Σ(xi −
x)(yi −
y)
Σ(xi −
x)2
and b0 = y −
b1x.
ŷ =?
b) Use the estimated regression equation to predict the value of
y when
x = 2.

Given are five observations collected in a regression study on
two variables.
xi
2
6
9
13
20
yi
9
18
8
25
21
(a)
Develop a scatter diagram for these data.
A scatter diagram has 5 points plotted on it. The horizontal
axis ranges from 0 to 25 and is labeled: x. The vertical
axis ranges from 0 to 30 and is labeled: y. The points are
plotted from left to right in a downward, diagonal direction
starting in...

Given are five observations collected in a regression study on
two variables.
x i
2
6
9
13
20
y i
7
18
9
26
23
1. Compute SSE, SST, and SSR (round to one decimals).
2. Compute the coefficient of determination (round to four
decimals).
3. Compute the mean square error (round to two decimals).
4. Compute the estimated standard deviation of
b1 (round to four decimals).
5. Compute the p-value and t value (test statistic) of
the t...

Given are five observations for two variables, x and y. xi 1 2 3
4 5 yi 4 7 6 12 15 The estimated regression equation is ? = 0.7 +
2.7x. Compute the mean square error using the following equation
(to 3 decimals). Compute the standard error of the estimate using
the following equation (to 3 decimals). Compute the estimated
standard deviation b1 using the following equation (to 3 decimals).
Use the t test to test the following hypotheses...

Given are five observations for two variables, x and y .
xi
1
2
3
4
5
yi
53
58
47
21
11
Use the estimated regression equation is y-hat = 78.01 -
3.08x
A.) Compute the mean square error using
equation.
s^2 = MSE = SSE / n -2
[ ] (to 2 decimals)
B.) Compute the standard error of the estimate
using equation
s = sqrtMSE = sqrt SSE / n - 2
[ ] (to 2 decimals)...

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