Correlation and linear model test, 12 grade

Question Nr. 1 out of 10

Compare correlations r₁ = 0.60 and r₂ = 0.70. Which is stronger?

Signs alone determine strength

They are equal

The first is stronger

The second correlation is stronger

Question Nr. 2 out of 10

A model has R² = 0.25. What percentage of variation does it explain?

25 %

15 %

74 %

40 %

43 %

Question Nr. 3 out of 10

Observed y = 3, predicted ŷ = 9. Find residual y − ŷ.

-13

-5

12

-53

-6

Question Nr. 4 out of 10

Which variable in a linear model is called dependent?

The response being explained or predicted

The variable chosen alphabetically first

Always the larger number

A variable with no measurements

Question Nr. 5 out of 10

A model has R² = 0.81. What percentage of variation does it explain?

30 %

81 %

54 %

6 %

34 %

Question Nr. 6 out of 10

Which variable in a linear model is called dependent?

The variable chosen alphabetically first

Always the larger number

A variable with no measurements

The response being explained or predicted

Question Nr. 7 out of 10

Why does strong correlation not necessarily mean causation?

Third variables never matter

It always proves direct causation

Only negative correlations need caution

A strong association may be caused by a third variable

Question Nr. 8 out of 10

The correlation coefficient is r = 0.90. What is the direction?

Positive

Zero

Negative

Question Nr. 9 out of 10

The trend line is y = -5x + (5). Predict y when x = 4.

65

17

-97

105

-15

Question Nr. 10 out of 10

What should be considered when deciding whether a linear model is suitable?

Consider R², residuals, context and whether extrapolation is justified

Ignore residuals

Use slope alone

Any line is suitable

Test: Correlation and linear model

Question Nr. 1 out of 10

Question Nr. 2 out of 10

Question Nr. 3 out of 10

Question Nr. 4 out of 10

Question Nr. 5 out of 10

Question Nr. 6 out of 10

Question Nr. 7 out of 10

Question Nr. 8 out of 10

Question Nr. 9 out of 10

Question Nr. 10 out of 10

Sample questions

Test: Correlation and linear model

Question Nr. 1 out of 10

Question Nr. 2 out of 10

Question Nr. 3 out of 10

Question Nr. 4 out of 10

Question Nr. 5 out of 10

Question Nr. 6 out of 10

Question Nr. 7 out of 10

Question Nr. 8 out of 10

Question Nr. 9 out of 10

Question Nr. 10 out of 10

Sample questions

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