Question

Question 01 (Part A)

Define the regression if the raw material used in production of a certain synthetic fiber measurement of the relative humidity the storage location and the moisture content.

Relative Humidity x	0.1×H+1	0.2×H+2	0.3×H+3	0.4×H+4	0.6×H+1	0.7×H+3
Moisture Content y	0.2×H×2	0.3×H×3	0.1×H+1	0.6×H+1	0.7×H+2	0.4×H+3

1. Plot a graph Y vs. X showing these points or the graph is also called scatter diagram.
2. Calculate ∑ X, ∑ Y, ∑X2, ∑Y2, ∑XY, mean of X and mean of Y.
3. Calculate regression equation Y on X.
4. If ? = 82 find the estimated value of Y.

(PART B)

Give an example a box contain (0.75x5H) Envelops of which (0.5x5H) contain $100 in cash. (0.10x5H) contain $25 in cash rest of the envelops contain $10.

1. Construct a sample space for the different amount of money.
2. Assign the probabilities to the each sample point.
3. Find    the     probability    that     the     first    envelop     purchased     contain    less     than    $100.

Answer 1