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# ASSIGN FOR Z-VALUE ANY TWO NUMBERS, Z1 AND Z2, BETWEEN (–2.50)

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Author: Joyce Buda
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Assign for z-value any two numbers, z1 and z2, between (–2.50) and 2.50.
Use Table for Normal Distribution and find area under Standard Normal Distribution Curve
1) to the left of z1;
2) to the right of z1;
3) to the left of z2;
4) to the right of z2;
5) between z1 and z2.

Select two numbers, n and k, each not higher than 12.
Number n should be greater than k, n>k,
like n=10 and k=3, or n=8 and k=2.
Then consider three cases.
Case 1. If car dealer has n different models of car and each model goes in k different colors, in how many ways you can choose your car?Case 2. In how many ways can you fill in k vacant positions if you have n candidates (n>k). Order of selection makes a difference, use formula for permutations. Case 3. There are n books on the shelf. In how many ways can you select k books. (n>k). Order of selection doesn't matter, use formula for combinations.

Correlation and Equation of Linear Regression.Assigned any numbers for x and y in the first two columns.
x

y

x2

y2

xy

Σx

Σy

Σx2

Σy2

Σ(xy)

Complete the table and calculate sums in the last row.We will use these sums to calculate Coefficient of Correlation and Equation of Linear Regression.
Part 1. Use following formula to calculate Coefficient of Linear Correlation:

After you have your r value (called a Pearson Coefficient) compare it to
the critical value in the Table A-6 Pearson Correlation Coefficient.
Use line with and significance level α = 0.05.
If your calculated r is greater than the table value there is a linear correlation between x and y in your data.

Part 2. Find an Equation of Regression Line in a form: y = b0 + b1x
Parameters: b1 (slope) and b0 (y-intercept) can be calculated by formulas:

(more)
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