## Write an abstract up to 200 words detailing a summary of the study, the bivariate correlation, hypothesis resolution, and implications of your findings.

A sociologist has learned from a prior study that there is a strong positive correlation between time spent playing a video game and the score the player earns on that game (practice makes perfect). Since achieving such proficiency is time-consuming, this sociologist expects that there may be a (negative) correlation between game score and overall academic performance (grade: 0 to 100). To determine if there is such an inverse correlation, the sociologist recruits a group of participants to play a popular video game for 15 minutes, at which time the researcher records the score. Participants will also be asked to provide a copy of their most recent transcript.

Data set: Ch 08 – Exercise 08A.sav Codebook Variable: score Definition: Score on video game Type: Continuous Variable: grade Definition: Overall academic grade Type: Continuous (0 to 100)

1. Write the hypotheses.

2. Run the criteria of the pretest checklist (normality [for both variables], linearity, homoscedasticity) and discuss your findings.

3. Run the bivariate correlation, scatterplot with regression line, and descriptive statistics for both variables and document your findings (r and Sig. [p value], ns, means, standard deviations) and hypothesis resolution.

4. Write an abstract up to 200 words detailing a summary of the study, the bivariate correlation, hypothesis resolution, and implications of your findings.

### Write the integral expression for the two-parameter output correlation function  over the time intervals .

Consider the following mean-square differential equation, driven by a WSS random process  with psd The differential equation is subject to the initial condition , where the random variable  has zero-mean, variance 5, and….

### Repeat the corresponding segment of the correlation function periodically.

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### Show that an m.s. derivative process  exists here.

Certain continuous time communications channel can be modeled as signal plus an independent additive noise (a) The receiver must process  for the purpose of determining the value of the message random….