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

a

State the gradient of the line.

b

Which of the following is true?

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

A

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

B

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

A

The gradient 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

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

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Carry out investigations of phenomena, using the statistical enquiry cycle: A conducting experiments using experimental design principles, conducting surveys, and using existing data sets B finding, using, and assessing appropriate models (including linear regression for bivariate data and additive models for time-series data), seeking explanations, and making predictions C using informed contextual knowledge, exploratory data analysis, and statistical inference D communicating findings and evaluating all stages of the cycle.

Use statistical methods to make a formal inference