Question

Find the slope of the equation of the least-squares regression line for the following data set.

x | y |

59 | -119 |

24 | -35 |

50 | -107 |

47 | -73 |

41 | -78 |

72 | -117 |

40 | -55 |

Round your answer to two decimal places.

Answer #1

Solution:

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

59 | -119 | -7021 | 3481 | 14161 |

24 | -35 | -840 | 576 | 1225 |

50 | -107 | -5350 | 2500 | 11449 |

47 | -73 | -3431 | 2209 | 5329 |

41 | -78 | -3198 | 1681 | 6084 |

72 | -117 | -8424 | 5184 | 13689 |

40 | -55 | -2200 | 1600 | 3025 |

n | 7 |

sum(XY) | -30464.00 |

sum(X) | 333.00 |

sum(Y) | -584.00 |

sum(X^2) | 17231.00 |

sum(Y^2) | 54962.00 |

Numerator | -18776.00 |

Denominator | 20613.09 |

r | -0.9109 |

r square | 0.8297 |

Xbar(mean) | 47.5714 |

Ybar(mean) | -83.4286 |

SD(X) | 14.8483 |

SD(Y) | 29.7120 |

b | -1.9301 |

a | 8.3890 |

Slop of regression line is,

**b = -1.93**

Calculate the y-intercept of the least-squares regression line
for the following data set.
x
y
59
-119
24
-35
50
-107
47
-73
41
-78
72
-117
40
-55
Round your answer to two decimal places.

Calculate the Pearson Product-Moment Correlation Coefficient, r,
for the following data set.
x
y
59
-119
24
-35
50
-107
47
-73
41
-78
72
-117
40
-55
Round your answer to three decimal places.

Compute the least-squares regression equation for the
given data set. Round the slope and
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-intercept to at least four decimal places.
x
6
1
4
7
3
y
2
4
1
7
6
Regression line equation: y=?

compute the least-squares regression equation for the
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7
4
5
2
1
y
2
6
5
1
7
Regression line equation: y=

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x 20 30 40 50 60
___________________
y 106 95 82 70 54
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^
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set. Use a TI-84
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decimal places.
x
10
6
8
14
−7
−1
7
−9
y
3
1
30
31
0
3
−3
−15
Send data
to Excel
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B. No
C. Yes

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