91影视

It is given in the question that, the regression line $\stackrel{鈭�}{pH}=5.43-0.0053$(weeks) 铿乼 the data well.

Identify the slope of the line and explain what it means in this setting.

We have$\mathrm{PH}\text{-hat}=5.43鈭�.0053\left(\text{weeks}\right)$

Here, the slope of the line is $-.0053$.

In other words, for every week that increases, there is a decrease of$-0053PH$

Linear regression lines produce slopes based on the number multiplied by the explanatory variable, which represents the predicted decrease in localid="1649926389024" $y$when localid="1649926396257" $x$increases by one unit.

It is given in the question that, the regression line $\stackrel{鈭�}{pH}=5.43-0.0053$(weeks) 铿乼 the data well.

Identify the y-intercept of the line and explain what it means in this setting.

According to this equation, the $\mathrm{pH}$value will be $5.43$after $0$weeks when the $y-$intercept is $5.43$.

When the explanatory variable is $0$, the y-intercept represents the value of the response variable.

It is given in the question that, the regression line $\stackrel{鈭�}{pH}=5.43-0.0053$(weeks) 铿乼 the data well.

According to the regression line, what was the pH at the end of this study?

$\mathrm{PH}\text{-hat}=5.43鈭�.0053\left(\text{weeks}\right)$

$150$weeks have passed since the experiment began.

localid="1649927050227" $$\begin{gathered} pH鈭�\text{hat}=5.43鈭�.0053\left(150\right) \\ pH-hat=4.635 \end{gathered}$$

Any predicted value can be found by substituting the value of the explanatory variable.