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CanadaON
Grade 12

Interpreting Information from Fitted Lines

Interactive practice questions

A least squares regression line is given by $y=3.59x+6.72$y=3.59x+6.72.

a

State the slope of the line.

b

Which of the following is true?

The slope of the line indicates that the bivariate data set has a positive correlation.

A

The slope of the line indicates that the bivariate data set has a negative correlation.

B
c

Which of the following is true?

If $x$x increases by $1$1 unit, then $y$y increases by $3.59$3.59 units.

A

If $x$x increases by $1$1 unit, then $y$y decreases by $3.59$3.59 units.

B

If $x$x increases by $1$1 unit, then $y$y decreases by $6.72$6.72 units.

C

If $x$x increases by $1$1 unit, then $y$y increases by $6.72$6.72 units.

D
d

State the value of the $y$y-intercept.

Easy
1min

A least squares regression line is given by $y=-3.67x+8.42$y=3.67x+8.42.

Easy
< 1min

The following scattergraph shows the value of various $4$4 bedroom, $2$2 bathroom homes in a new suburb.

Easy
5min

The price of various second-hand Mitsubishi Lancers are shown below.

Medium
6min
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Outcomes

12C.D.1.6

Describe possible interpretations of the line of best fit of a scatter plot (e.g., the variables are linearly related) and reasons for misinterpretations (e.g., using too small a sample; failing to consider the effect of outliers; interpolating from a weak correlation; extrapolating nonlinearly related data)

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