Course Title General Mathematics and Biostatistics

Course Code STA100

Activity Assignment # 2

Submission Deadline Date: Saturday, Feb 02, 2020

Time: 23:59 Hours (Midnight)

Instructions to attempt assignment:

• For writing symbols, use Math Type software. If you already did not download it.

• Use calculator for calculations.

• Write the complete formulas and all steps, wherever necessary.

• Make your own attempt, any copy/past; cheating from other student/website may result in ZERO marks and/or assignment cancelation.

Question # 1:

Consider the data obtained from a chemical process where the yield of the process is thought to be related to the reaction temperature (see the table below).

Observation Number |
Temperature (x) |
Yield (y) |

1 |
50 |
122 |

2 |
53 |
118 |

3 |
54 |
128 |

4 |
55 |
121 |

5 |
56 |
125 |

6 |
59 |
136 |

7 |
62 |
144 |

8 |
65 |
142 |

9 |
67 |
149 |

10 |
71 |
161 |

11 |
72 |
167 |

12 |
74 |
168 |

13 |
75 |
162 |

14 |
76 |
171 |

15 |
79 |
175 |

Draw a best fit line which is obtained by solving simultaneously “Normal Equations”.

Question # 2:

The local ice cream shop keeps track of how much ice cream they sell versus the temperature on that day to find out Correlation, here are their figures for the last 12 days:

Ice Cream sale vs Temperature |

Temperature |
14.2° |
16.4° |
11.9° |
15.2° |
18.5° |
22.1° |
19.4° |
25.1° |
23.4° |
18.1° |
22.6° |
17.2° |

Ice Cream Sale |
$215 |
$325 |
$185 |
$332 |
$406 |
$522 |
$412 |
$614 |
$544 |
$421 |
$445 |
$408 |