Answer: c) About 16% of the variation in value of the car is explained by a linear relationship with the age of the car.
e) The correlation coefficient, r, is 0.397.
Step-by-step explanation:
Given that:
Coefficient of determination (r²) between two variables, age of car (x) and value of car (y) = 0.158
Correlation of determination (r²) of 0.158 = (0.158 × 100% = 15.8% of the variation between the two variables can be explained by the regression line). Hence, about 16% of the variation between age and value of car can be explained by the linear relationship.
Coefficient of correlation (r) = sqrt(r²) = sqrt(0.158) = 0.397
If x=girls,
then we have 3x boys.
We know that all children are boys+girls, so x+3x, which is 4x and 4x is 48, so one x is 12.
So there are 12 girls and 36 boys.
<u>Given Function is</u>
- f ( x ) = 7x - 7 ------- eqn ( 1 )
<u>Now , put the value of x = 8 in eqn ( 1 )</u>
- f ( 8 ) = 7 ( 8 ) - 7
- f ( 8 ) = 56 - 7
- f ( 8 ) = 49 ------- eqn ( 2 )
<u>Now , put the value of x = 4 in eqn ( 1 )</u>
- f ( 4 ) = 7 ( 4 ) - 7
- f ( 4 ) = 28 - 7
- f ( 4 ) = 21 ------- eqn ( 3 )
<h3 />
<u>From eqn ( 2 ) nd eqn ( 3 ) we get,</u>
- f ( 8 ) + f ( 4 )
- 49 + 21
- 70
Hope Helps! :)
40
100
or the decimal 0.40. Notice that 80 out of 200 and 10 out of 25 are also 40%, since
80
200
=
10
25
=
40
100