Answer:
Y = 0.4925X - 22.26 ;
(-12.413, 13.398) ;
Yes, there is
Step-by-step explanation:
X = IQ Score ; Y = musical aptitude
The regression equation from the table given using the slope and intercept coefficient :
Y = 0.4925X - 22.26
0.4925 = slope ; Intercept = - 22.26
The 95% confidence interval of the slope :
Confidence interval = b ± Tcritical*SE
Tcritical at 95%, df = n - 2 = (20 - 2) = 18
Tcritical = 2.1009
b = slope Coefficient = 0.4925
S.E = 6.143
Hence, we have :
Confidence interval = 0.4925 ± (2.1009 * 6.143)
Confidence interval = 0.4925 ± 12.9058287
Lower boundary = 0.4925 - 12.9058287 = - 12.413
Upper boundary = 0.4925 + 12.9058287 = 13.398
(-12.413, 13.398)
There is a significant relationship between IQ score and musical aptitude because, 0 is within the confidence interval obtained.
0.4x + 3.9 = 5.78
1. Subtraction property of equality:
Subtract 3.9 from both sides of the equal sign:
0.4x = 1.88
2. division property of equality:
Divide both sides of the equal sign by 0.4:
X = 4.7
Answer:
sqrt(8) or 2.828
Step-by-step explanation:
You use the distance formula which is sqrt((x2-x1)^2+(y2-y1)^2) where x2 can be either x value
Answer:
Example: the median is not affected by very large or very small values (outliers).
Step-by-step explanation:
Suppose my income for 5 months is $1000, $1500, $1550, $2000, $90,000. (I hit the lottery in the last month!).
The median is the number in the middle: $1550. That $90,000 would increase the <u>mean</u> ("average") by a lot, but the median is unchanged.
If a newspaper story reports the median house price in a neighborhood is $93,000, that million dollar mansion on the corner won't change the median. Half the prices are less than $93,000 and half are greater.
