Answer:
Step-by-step explanation:
Given that researchers wondered whether the size of a person's brain was related to the individual's mental capacity
They selected a sample of 5 females and 5 males and measured their MRI counts and IQ scores.
The data is reported to the right. Complete parts (a) through (d) below.
We want scatter plot for IQ vs MRI in general.
So we group data into two columns X for MRI and Y for IQ and draw scatter plot
MRI IQ
816932 133
1001121 140
833868 132
856472 140
866662 130
1038436 139
1079550 141
924059 136
a) Scatter plot is attached as a file
b) correlation coefficient = Cov (x,y)/S_x S_y = 0.729889
B) Yes, MRI count and IQ are linearly related since the linear correlation coefficient is _____.0.729889 >0.5 and near to 1 than to 0
There is a positive moderate correlation between x and y (linear)
Answer:
converting the equation to improper fraction
31/5+(-38/5)
31/5-38/5( the plus sign affected the minus sign inside of the bracket which is+*- = -)
multiply both terms by 5
31-38= -7
The percentage change is B. 53% increase
Answer:
y = 4·4^x
Step-by-step explanation:
We can write the exponential function in the form ...
y = a·b^x
The y-value for x=0 is 4, so that is the multiplier 'a' in our equation.
The ratio of values between x=1 and x=0 is 16/4 = 4, so that is the value of 'b' in the equation. The equation is ...
y = 4·4^x
_____
<em>Additional comment</em>
This could also be written ...
y = 4^(x+1)
__
Consider the values for x=0 and x=1.
x=0: y = a·b^0 = a
x=1: y = a·b^1 = ab
Then the ratio of values is (ab)/(a) = b.
This is the fact that we used in the above working.
X<4 AND x>1
1<x<4
so the domain is from 1 to 4 but (1 and 4) are not included.