# Stats Essay example

Topics Covered –Simple Regression

Homework # 4 - 100 points (Due date 4/4/2011- Monday)

For Home Work 4, Turn in Part 1 (15 points), Question 1(20 points), Question 2 (20 points), Question 3 45 points).

Part 1

MULTIPLE CHOICE [3 point each]

1. In Least squares regression, the regression line is obtained by minimizing,

a) The total variation in the dependent variable.

b) The sum of squares for error (SSE).

c) The sum of squares for regression (SSR)

d) The sum of squares for total (SST).

e) None of the above

2. In a simple regression analysis involving 25 data points, the standard error of estimate is calculated as S( =

*…show more content…*

a) Normality of Errors

b) Constant standard deviation for Errors

c) Correlation between Response and Errors

d) Straight line type relationship between the Predictors and response

e) None of the above

Word Problems

Question 1 (20 points) – Simple Regression

1. The following pairs of values give X, Narco Medical's advertising expense during a period (in hundreds of dollars), and Y, the amount of the company's sales (in thousands of dollars) for the period:

Advertising , X ( in hundreds of $): 8 9 7 6 5 1

Sales, Y (in thousands of $): 15 11 10 11 8 5

| | | | | | |

| |Advertising |Sales | | | |

| |X |Y |X^2 |Y^2 |X*Y |

| |8 |15 |64 |225 |120 |

| |9 |11 |81 |121 |99 |

| |7 |10 |49 |100 |70 |

| |6 |11 |36 |121 |66 |

| |5 |8 |25 |64 |40 |