Step-by-step explanation:
There is inconsistency in the given statement and no solution
Explanation:
y
=
2
x
+
โ
2
x
โ
y
=
โ
8
,
Eqn (1)
3
โ
(
โ
2
x
+
y
)
=
12
โ
6
x
+
3
y
=
12
2
x
โ
y
=
โ
4
Eqn (2)
It may be seen, L H S of equations (1) & (2) are same but not R H S.
Hence there is inconsistency in the given statement and no solution
Step-by-step explanation:
a) According to the least-squares regression line, the estimated height for a high school senior with a foot length of 20 cm is:
y = 2.599x + 105.08
y = 2.599(20) + 105.08
y = 157.06
The residual is 160 โ 157.06 = 2.94
b) The differences between each data point and its corresponding estimate varies with a standard deviation of 5.9 cm.
c) Calculate the z-score:
z = (x โ ฮผ) / ฯ
z = (8 โ 0) / 5.9
z = 1.36
Use a calculator or table to find the probability.
P(Z > 1.36) = 1 โ 0.9131 = 0.0869
Therefore, approximately 8.69% of the residuals are larger than 8 cm.
d) Since the z-score is within ยฑ2 standard deviations, it would not be surprising to randomly select a high school senior with a foot length of 20 cm and height of 165 cm.