Question

Find the regression equation, letting the first variable be the predictor (x) variable. Using the listed actress/actor ages in various years, find the best predicted age of the Best Actor winner given that the age of the Best Actress winner that year is 58 years. Is the result within 5 years of the actual Best Actor winner, whose age was 44 years?

Best Actress 27 31 30 64 34 32 46 29 61 22 43 53

Best Actor 41 38 36 46 48 47 57 53 39 53 44 35

1. Find the equation of the regression line.

y = _______ + (_________)x (Round the constant to one decimal place as needed. Round the coefficient to three decimal places as needed.)

2. The best predicted age of the Best Actor winner given that the age of the Best Actress winner that year is 58 years is ________ years old. (Round to the nearest whole number as needed.)

3. Is the result within 5 years of the actual Best Actor winner, whose age was 44 years?

**_(yes or no)________** the predicted age
is__________________ the actual winner's age.

Answer #1

Find X⋅Y and X^{2} as it was done in the table
below.

X | Y | X⋅Y | X⋅X |

27 | 41 | 1107 | 729 |

31 | 38 | 1178 | 961 |

30 | 36 | 1080 | 900 |

64 | 46 | 2944 | 4096 |

34 | 48 | 1632 | 1156 |

32 | 47 | 1504 | 1024 |

46 | 57 | 2622 | 2116 |

29 | 53 | 1537 | 841 |

61 | 39 | 2379 | 3721 |

22 | 53 | 1166 | 484 |

43 | 44 | 1892 | 1849 |

53 | 35 | 1855 | 2809 |

**( 2 )**

**y = 48.9 - 0.107 x**

**Given x = 58**

**then**

**y = 48.9 - 0.107 ( 58 )**

**= 42.694**

**= 43**

**The best predicted age of the Best Actor winner given
that the age of the Best Actress winner that year is 58 years is
43 years old**

**( 3 )**

**yes the predicted age is more than five years less than
the actual winner's age.**

Find the regression equation, letting the first variable be the
predictor (x) variable. Using the listed actress/actor ages in
various years, find the best predicted age of the Best Actor
winner given that the age of the Best Actress winner that year
is
44
years. Is the result within 5 years of the actual Best Actor
winner, whose age was
45
years?
Best Actress
29
29
30
58
32
32
47
28
60
23
44
53
Best Actor
43
36...

Find the regression equation, letting the first variable be the
predictor (x) variable. Using the listed actress/actor ages in
various years, find the best predicted age of the Best Actor
winner given that the age of the Best Actress winner that year is
30 years. Is the result within 5 years of the actual Best Actor
winner, whose age was 48 years?
Best Actress
28
30
29
62
32
35
43
30
62
22
44
53
Best Actor
42
36...

Find the regression equation, letting the first variable be the
predictor (x) variable. Using the listed actress/actor ages in
various years, find the best predicted age of the Best Actor
winner given that the age of the Best Actress winner that year is
29 years. Is the result within 5 years of the actual Best Actor
winner, whose age was 43 years?
Best Actress
29
29
28
62
33
33
47
29
61
22
45
51
Best Actor
43
36...

Find the regression equation, letting the first variable be the
predictor (x) variable. Using the listed actress/actor ages in
various years, find the best predicted age of the Best Actor
winner given that the age of the Best Actress winner that year is
27 years. Is the result within 5 years of the actual Best Actor
winner, whose age was 44 years?
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27
32
28
63
34
31
47
28
59
23
42
52
Best Actor
44
35...

Find the regression equation, letting the first variable be the
predictor (x) variable. Using the listed actress/actor ages in
various years, find the best predicted age of the Best Actor
winner given that the age of the Best Actress winner that year
is
60
years. Is the result within 5 years of the actual Best Actor
winner, whose age was
38
years?
Best Actress
28
29
30
62
34
34
45
29
60
21
43
52
Best Actor
42
37...

Find the regression equation, letting the first variable be the
predictor (x) variable. Using the listed actress/actor ages in
various years, find the best predicted age of the Best Actor
winner given that the age of the Best Actress winner that year
is
6060
years. Is the result within 5 years of the actual Best Actor
winner, whose age was
3838
years?
Best Actress
2828
2929
3030
6262
3434
3434
4545
2929
6060
2121
4343
5252
Best Actor
4242
3737...

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prediction worthwhile?
Lemon Imports 231 268 350 461
550
Crash Fatality Rate 15.9 15.6
15.2 15.3 15
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yhat=...

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