# Reading equations with variables in datasets

#1 The equation,∑xi2 is best known as the

a) sum of all the squared values of the variable x in the dataset

b) product of all the values of the variable x in the dataset.

c) square of the sum of all the values of the variable x in the dataset

d) sum of all the values of the variable x in the dataset.

#2 The equation (∑xi)2 is the best known as the

a) sum of all the squared values of the variable x in the dataset

b) product of all the values of the variable x in the dataset.

c) square of the sum of all the values of the variable x in the dataset

d)sum of all the values of the variable x in the dataset.

https://brainmass.com/statistics/estimation-theory/reading-equations-variables-datasets-533635

#### Solution Preview

multiple choice concept review

#1 The equation,∑xi2 is best known as the

If you wrote out it would look like this: . By the order of operations specified by the rules of arithmetic you would square each individual value first and then add up the resulting squared values. Since the last operation that you would be performing is the addition, the whole thing is referred to as a sum ... a sum of ...

#### Solution Summary

The following posting helps with problems involving sums of squared values, products of values, and square of sums.

Correlation and Simple Linear Regression Using SPSS

1. Use SPSS to provide key descriptive statistics for each continuous and ordinal variable (mean, median, standard deviation) in a table format. Provide a frequency table for categorical variables. Briefly describe the results in your tables.

2. Use SPSS to provide bivariate analysis. Compute multiple correlation coefficients and their p-values: (a) for the relationship between social studies and Math and Reading considered simultaneously; (b) the partial correlation coefficients for variables reading and Social studies when Gender is held constant; (c) the partial correlation coefficient for variables Math and Reading when Gender is held constant. Describe and interpret the results of these correlation coefficients and p-values.

B. What test is appropriate to measure the correlation between reading in rank and visual acuity in rank? Perform this test. Describe and interpret the results.

C. Perform two simple linear regressions: 1) social studies as a predictor of reading scores, and 2) math as a predictor of reading scores. Describe and interpret the results (including the coefficients). Include the linear regression equations.