At a Recent Music Concert, a Survey Was Conducted That

question 11

Essay

At a recent music concert, a survey was conducted that asked a random sample of 20 people their age and how many concerts they have attended since the beginning of the year. The following data were collected. $$\begin{array}{l}\begin{array} { | l | c | c | c | c | c | c | c | c | c | c | } \hline \text { Age } & 62 & 57 & 40 & 49 & 67 & 54 & 43 & 65 & 54 & 41 \\\hline \text { Number of concerts } & 6 & 5 & 4 & 3 & 5 & 5 & 2 & 6 & 3 & 1 \\\hline\end{array}\\\\\begin{array} { | l | c | c | c | c | c | c | c | c | c | c | } \hline \text { Age } & 44 & 48 & 55 & 60 & 59 & 63 & 69 & 40 & 38 & 52 \\\hline \text { Number of Concerts } & 3 & 2 & 4 & 5 & 4 & 5 & 4 & 2 & 1 & 3 \\\hline\end{array}\end{array}$$ a. Use the regression equation $=$ -3.0115 + 0.1257x to determine the predicted values of y.
b. Use the predicted values and the actual values of y to calculate the residuals.
c. Plot the residuals against the predicted values 11ee4fcc_f430_90bf_ae1e_57d339dcb288_TB5762_11 .
d. Does it appear that heteroscedasticity is a problem? Explain.
e. Draw a histogram of the residuals.
f. Does it appear that the errors are normally distributed? Explain.
g. Use the residuals to compute the standardised residuals.
h. Identify possible outliers.

Calculate the standard deviation and mean from sample data.

Understand the differences between one-tailed and two-tailed tests.

Compute the standard error of the sample proportion or mean.

Evaluate the legitimacy of claims based on statistical tests.

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Definitions:

Supreme Court

The highest federal court in the United States, endowed with the judicial power to interpret and apply the Constitution, thereby shaping the nation's laws and society.

Death Penalty

The death penalty is a legal punishment where a person is put to death by the state as a penalty for a crime.

Constitutional Justification

The reasoning or basis in a constitution that supports a law, action, or policy.

Ex Post Facto Law

A law that retroactively changes the legal consequences (or status) of actions that were committed before the enactment of the law, which is generally prohibited by constitutional principles in many countries.