91影视

It is given in the question that, the predicted reading score = $-33.4+0.882$(IQ score)

What鈥檚 the slope of this line? Interpret this value in context.

reading score=$-33.4+0.882$(IQ score)

Here, the IQ score is the explanatory variable so $0.882$is the slope.

The slope of a linear regression line is the number multiplied by the explanatory variable.

The slope represents the predicted change in y when x increases by $1$unit.

It is given in the question that, the predicted reading score = $-33.4+0.882$(IQ score)

What鈥檚 the intercept? Explain why the value of the intercept is not statistically meaningful

For a value to be statistically meaningful it must lie in the realm of reality. Since the intercept is $-33.4$, that means a child with an IQ score of $0$would have a predicted reading score of $-33.4$which is out of the realm of possibility.

The y-intercept is the value of the response variable when the explanatory variable is $0$.

It is given in the question that, the predicted reading score = $-33.4+0.882$(IQ score)

Find the predicted reading scores for two children with IQ scores of $90$and$130$, respectively.

Given:

Reading Score = $-33.4+0.882$(IQ score)

We need to predict the reading scores corresponding to an IQ score of $90$and an IQ score of $130$.

IQ Score of 90

$\text{Replace "IQ score" with}90\text{in the given regression line and evaluate:}$

$\text{Reading Score}=鈭�33.4+0.882\left(\text{Time}\right)$

Substitute

$=鈭�33.4+0.882\left(90\right)$

Evaluate product

$-33.4+79.38$

Evaluate sum

=$45.98$

Thus the predicted reading score for a child with an IQ of $90$is$45.98$

IQ Score of 130

Replace "IQ score" with $130$in the given regression line and evaluate :

Reading Score = $-33.4+0.882\left(Time\right)$

Substitute

= $-33.4+0.882\left(130\right)$

Evaluate product

= $-33.4+114.66$

Evaluate sum

=$81.26$

Thus, the predicted reading score for a child with IQ of $130$is $81.26$