Bivariate: Association and Regress Line

A research is carried out to determine the link between the electricity bill of a home and the number of pets it has. The response variable is:

• ordinal.

• quantitative.

• the number of pets in the home.

• the electricity bill.

• the home's electricity usage.

In a study to determine if the number of hours spent on homework affects final grades in high school biology, which of the following statements is incorrect?

• The response variable is the final grade.

• The explanatory variable is the number of hours spent on homework.

• The grade is ordinal (like A, B, C, D, E)

• The response variable is numerical.

• The explanatory variable is numerical.

Observing a significant correlation between a nation's Gross Domestic Product (GDP) per capita and its energy consumption per capita, one might infer that:

• raising a nation's energy consumption will directly boost its GDP per capita.

• lowering a nation's energy consumption is a sure way to increase its GDP per capita.

• the observed correlation is random and should not be considered in policy making.

• nations with higher GDP per capita values are likely to exhibit higher energy consumption per capita.

• nations with higher GDP per capita values are likely to exhibit lower energy consumption per capita.

Is it logical to conduct a research where the secondary variable is considered as the explanatory variable? Provide a justification for your response.

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If a group of high school students were observed, what other factor could explain the relationship between their heights and weights?

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Draw the line of good fit based on the scatterplot.

Describe the scatterplot's characteristics in terms of its direction, shape, and the strength of the relationship.

Groups:

(a) direction

,

(b) shape

,

(c) strength

• linear

• negative

• weak

Describe the scatterplot's characteristics in terms of its direction, shape, and the strength of the relationship.

• The scatterplot shows a negative direction, linear shape, and a strong relationship.
• The scatterplot shows a positive direction, curvilinear shape, and a weak relationship.
• The scatterplot shows a positive direction, linear shape, and a strong relationship.
• The scatterplot shows a negative direction, curvilinear shape, and a weak relationship.

Besides yearly precipitation levels (rain), what additional factor might influence the bushfire frequency?

State the explanatory variable