Consider the Following to Answer the Question(s) Below

question 24

Multiple Choice

Consider the following to answer the question(s) below:
To determine whether the tip left at the end of a meal is related to the size of the total bill at their restaurant, Chez Michelle, data were gathered for 10 customers. The data and summary statistics are shown below.

-A manufacturing company is interested in predicting the number of defects (y) that will be produced each hour on the assembly line (x) . Using sample data they estimate the equation as defects = 5.67 + 0.048 (hours) . Which of the following statements is true?

• A) The correlation between x and y is positive.
• B) 4.8% of the variability in y is explained by x.
• C) 23.08% of the variability in y is explained by x.
• D) An increase in x of one-unit will result in an average increase of 5.67 in y.
• E) The relationship between x and y could be either positive or negative.

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Definitions:

Chi-square Statistic

A statistical measure used in tests of independence and goodness of fit, evaluating how well observed data fit expected frequencies in categorical variables.

Strongly Opposed

A stance or position wherein someone is deeply against or in disagreement with a particular idea or proposal.

Tuition Increase

The rise in the cost of attending a college or university, typically announced on an annual basis.

Expected Count

In contingency tables, the theoretical frequency of occurrences expected under a specific hypothesis, crucial for chi-square tests of independence.