Question

Determine the equation of the regression line for the following data, and compute the residuals.

x 16 8 19 13 6

y 46 37 56 43 21

Do not round the intermediate values. *(Round your
answers to 3 decimal places.)*

**y^= ??? + ( ???)x**

Do not round the intermediate values. **(Round your
answers to 3 decimal places.)**

x |
y |
Residuals |

16 | 46 | |

8 | 37 | |

19 | 56 | |

13 | 43 | |

6 | 21 |

Answer #1

**solution**,

X | Y | XY | X^2 | Y^2 |

16 | 46 | 736 | 256 | 2116 |

8 | 37 | 296 | 64 | 1369 |

19 | 56 | 1064 | 361 | 3136 |

13 | 43 | 559 | 169 | 1849 |

6 | 21 | 126 | 36 | 441 |

n | 5 |

sum(XY) | 2781.00 |

sum(X) | 62.00 |

sum(Y) | 203.00 |

sum(X^2) | 886.00 |

sum(Y^2) | 8911.00 |

Numerator | 1319.00 |

Denominator | 1400.27 |

r | 0.9420 |

r square | 0.8873 |

Xbar(mean) | 12.4000 |

Ybar(mean) | 40.6000 |

SD(X) | 4.8415 |

SD(Y) | 11.5689 |

b | 2.2509 |

a | 12.6894 |

= a + bx

** = 12.690 +
2.251x**

Determine the equation of the regression line for the following
data, and compute the residuals.
x
15
9
18
13
5
y
48
38
56
44
24
Do not round the intermediate values. (Round your
answers to 3 decimal places.)
y^=
+(
)x
Do not round the intermediate values. (Round your
answers to 3 decimal places.)
x
y
Residuals
15
48
9
38
18
56
13
44
5
24

Given are data for two variables, x and y.
xi
6
11
15
18
20
yi
7
7
13
21
30
(a)
Develop an estimated regression equation for these data. (Round
your numerical values to two decimal places.)
ŷ =
(b)Compute the residuals. (Round your answers to two decimal
places.)
xi
yi
Residuals
6
7
11
7
15
13
18
21
20
30
(c)Compute the standardized residuals. (Round your answers to
two decimal places.)
xi
yi
Standardized
Residuals
6
7...

Determine the value of the coefficient of correlation,
r, for the following data.
X 4 6 7 11
15 17 21
Y 18 13 13 8 7 7 6
(Round the intermediate values to 3 decimal places.
Round your answers to 3 decimal places.)
r = ___

Find the y-intercept of the regression line for the following
data set. Round your answers to 3 decimal places.
X
Y
2
2
4
7
8
25
10
26
13
38
16
50

For the data set below,
(a) Determine the least-squares regression line.
(b) Compute the sum of the squared residuals for the least-squares
regression line.
x 20 30 40 50 60
___________________
y 106 95 82 70 54
(a) Determine the least-squares regression line.
^
y =[]x +[] ( round to four decimal places as needed.)

Test the slope of the regression line for the
following data. Use α=.01.
x 142 121 103 92 66 29 25
y 26 29 46 70 87 112 125
Do not round the intermediate values. Round your
answer to 2 decimal places.)
Observed t = ___
The decision is to reject or fail to reject the null
hypothesis

Find the equation of the regression line for the given data.
Then construct a scatter plot of the data and draw the regression
line. (The pair of variables have a significant correlation.)
Then use the regression equation to predict the value of y for each
of the given x-values, if meaningful. The number of hours 6
students spent for a test and their scores on that test are shown
below.
Hours spent studying, x
1
2
2
4
5
6...

Use the given data to find the equation of the regression line.
Examine the scatterplot and identify a characteristic of the data
that is ignored by the regression line.
x
15
12
5
6
11
9
10
7
14
8
13
y
18.82
18.41
6.82
9.39
17.67
15.27
16.62
11.66
18.99
13.61
18.86
^
y = ___ +___x (Round to two decimal places as needed.

Data for two variables, x and y, follow.
xi
1 2 3 4 5
yi
5 9 7 13 16
(a)
Develop the estimated regression equation for these data. (Round
your numerical values to two decimal places.)
ŷ = 2.20+2.60x
Compute the studentized deleted residuals for these data. (Round
your answers to two decimal places.)
xi
yi
Studentized
Deleted Residual
1
5
2
9
3
7
4
13
5
16

Use the given data to find the equation of the
regression line (round your answers to 3 decimal
places).
x
y
1
0
1
2
2
2
5
3
3
5
y^=b0+b1x
b0: Answer
b1: Answer

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 16 minutes ago

asked 27 minutes ago

asked 29 minutes ago

asked 33 minutes ago

asked 55 minutes ago

asked 58 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago