Question

A study of bone density on 5 random women at a hospital produced the following results.

X: Age 33 37 45 49 61

Y: Bone Density 355 350 335 330 315

Step 3 of 3: Calculate the correlation coefficient, r. Round your answer to three decimal places.

Answer #1

Solution:

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

33 | 355 | 11715 | 1089 | 126025 |

37 | 350 | 12950 | 1369 | 122500 |

45 | 335 | 15075 | 2025 | 112225 |

49 | 330 | 16170 | 2401 | 108900 |

61 | 315 | 19215 | 3721 | 99225 |

n | 5 |

sum(XY) | 75125.00 |

sum(X) | 225.00 |

sum(Y) | 1685.00 |

sum(X^2) | 10605.00 |

sum(Y^2) | 568875.00 |

Numerator | -3500.00 |

Denominator | 3515.68 |

r | -0.9955 |

r square | 0.9911 |

Xbar(mean) | 45.0000 |

Ybar(mean) | 337.0000 |

SD(X) | 9.7980 |

SD(Y) | 14.3527 |

b | -1.4583 |

a | 402.6250 |

r = **-0.996**

A study of bone density on 5 5 random women at a hospital
produced the following results.
Age
37 37
41 41
49 49
61 61
65 65
Bone Density
350 350
335 335
325 325
320 320
315 315
Copy DataAge Bone Density 37 350 41 335 49 325 61 320 65 315
Step 3 of 3 :
Calculate the correlation coefficient, r. Round your answer to
three decimal places.

A study of bone density on 5 random women at a hospital produced
the following results.
Age
37
41
45
53
73
Bone Density
360
355
335
315
310
Step 1 of 3 :
Calculate the correlation coefficient, r. Round your answer to
six decimal places.

A study of bone density on 5 random women at a hospital produced
the following results. Age 37 45 57 61 65 Bone Density 350 345 340
320 315 Step 3 of 3 : Calculate the correlation coefficient, r.
Round your answer to three decimal places.

A study of bone density on 5 random women at a hospital produced
the following results. Age 33 45 53 61 65 Bone Density 360 350 345
330 310
Step 3 of 3: Calculate the correlation coefficient, r. Round
your answer to three decimal places.

A study of bone density on 55 random women at a hospital
produced the following results.
Age
33
45
53
61
65
Bone Density
360
350
345
330
310
Step 1 of 3 :
Calculate the correlation coefficient, r. Round your answer to
six decimal places.

A study of bone density on 5 random women at a hospital produced
the following results.
Age
53
57
61
69
73
Bone Density
355
350
345
325
315
Step 1 of 3 : Calculate the correlation coefficient,
r. Round your answer to six decimal places.
Step 2 of 3: Determine if r is statistically significant at the
0.01 level.
Step 3 of 3: Calculate the coefficient of determination, r^2.
Round your answer to three decimal places.

A study of bone density on 55 random women at a hospital
produced the following results.
Age
37
41
49
61
69
Bone Density
360
345
320
315
310
Copy Data
Step 1 of 3:
Calculate the correlation coefficient, r. Round your answer to
six decimal places.
Step 2 of 3:
Determine if r is statistically significant at the 0.01
level.
Step 3 of 3:
Calculate the coefficient of determination, r2. Round your
answer to three decimal places

A study of bone density on 5 random women at a hospital produced
the following results.
Age Bone Density
48 359
62 350
63 336
63 327
65 319
Step 3 of 5:
Calculate the estimated variance of slope, s2b1sb12. Round your
answer to three decimal places.

Step 2 of 5: A study of bone density on 5 random women at a
hospital produced the following results. Age Bone Density 48 359 62
350 63 336 63 327 65 319
Calculate the estimated variance of errors, s2ese2. Round your
answer to three decimal places.

A study of bone density on 5 random women at a hospital produced
the following results.
Age Bone Density
48 359
62 350
63 336
63 327
65 319
Step 1 of 5:
Calculate the sum of squared errors (SSE). Use the values
b0=452.4777 and b1=−1.8983 for the calculations. Round your answer
to three decimal places.
Step 2 of 5:
Calculate the estimated variance of errors, s2ese2. Round your
answer to three decimal places.
Step 3 of 5:
Calculate the...

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