The accompanying data are the length (in centimeters) and girths (in centimeters) of

12 harbor seals. Find the equation of the regression line. Then construct a scatter plot of the data and draw the regression line. Then use the regression equation to predict the value of y for each of the given x-values, if meaningful. If the x-value is not meaningful to predict the value of y, explain why not. [ round to the nearest hundred]

(a) x = 140 cm

(b) x = 172 cm

(c) x = 164 cm

(d) x = 158 cm

LinReg Test

Questions

ANSWERS

Find the equation of the regression line [3pt]

[write in the form : ax +b]

Construct the scatter plot of the data and draw the regression line

[use technology and paste pic here]

[5pt]

Use the regression line and predict the value of y for each of the x values and check whether it is meaningful or not meaningful. Give a reason why. [12pts]

x-value	Y-value [round to 2 decimal places]	Meaningful (Y/N)	WHY?
140
172
164
158

Is there enough evidence to conclude that there is a significant linear correlation between the data? Test at Alpha = 0.05

[10pts]