Question

The following data set shows the entrance exam score (Verbal GMAT) for each of eight MBA students along with his or her grade point average (GPA) upon graduation. Calculate the slope and y-intercept for the linear regression equation for these data. GMAT 310 290 270 270 350 280 290 290 GPA 3.7 2.9 3.1 3.2 3.9 3.1 3.6 2.9

Answer #1

Solution:

We prepare a table.

X | Y | XY |
X^{2} |
Y^{2} |

310 | 3.7 | 1147 | 96100 | 13.69 |

290 | 2.9 | 841 | 84100 | 8.41 |

270 | 3.1 | 837 | 72900 | 9.61 |

270 | 3.2 | 864 | 72900 | 10.24 |

350 | 3.9 | 1365 | 122500 | 15.21 |

280 | 3.1 | 868 | 78400 | 9.61 |

290 | 3.6 | 1044 | 84100 | 12.96 |

290 | 2.9 | 841 | 84100 | 8.41 |

From this ,

n | 8 |

sum(XY) | 7807.00 |

sum(X) | 2350.00 |

sum(Y) | 26.40 |

sum(X^{2}) |
695100.00 |

sum(Y^{2}) |
88.14 |

Now , let b be the slope and a be the y intercept of the regression line.

Putting all values in this formula , we get

b = 0.0109

Now ,

Putting all values in this formula , we get

a = 0.1094

Answer :

**Slope b = 0.0109**

**y intercept a = 0.1094**

The following data set shows the entrance exam score (Verbal
GMAT) for each of eight MBA students along with his or her grade
point average (GPA) upon graduation. Calculate the slope and
y-intercept for the linear regression equation for these data.
GMAT 320 290 270 270 340 260 290 310
GPA 3.7 2.9 3.1 3.2 3.9 2.9 3.7 3.1
Calculate the slope and y-intercept for the linear regression
equation for these data.
y= [] + ([]) x (Round to...

The following data set shows the entrance exam score (Verbal
GMAT) for each of eight MBA students along with his or her grade
point average (GPA) upon graduation.
GMAT
300
300
250
290
350
280
300
300
GPA
3.6
2.9
3.1
3.3
3.9
3.1
3.7
2.9
A linear regression on the data gives the equation below.
Complete parts a through d below.
Predicted GPA equals 0.872390 plus 0.008237 left parenthesis
GMAT right parenthesis
partition the total sum of squares...

The following data set shows the entrance exam score (Verbal
GMAT) for each of eight MBA students along with his or her grade
point average (GPA) upon graduation.
GMAT: 300 280 270 270 360 280 290 310
GPA: 3.7 2.9
3.2 3.2 3.9
2.9 3.8 2.9
a. Calculate the SST./ SST=
___________(Round to three decimal places as needed.)
b. Partition the total sum of squares into the SSR and
SSE. SSR=_____________
SSE= ____________. (Round to three decimal places as
needed.)...

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