Question is describing about a regression line which has a y-intercept of 6.75 and a slope of 1.25.
y-intercept is represented by letter "b" in formula y=mx+b
so b=6.75
slope is represented by letter "m" in formula y=mx+b
so m=1.25
Now we have to find the y-value when x = 2.
To find that we just need to plug given values x=2, b=6.75 and m=1.25 into formula y=mx+b. We get:
y=1.25*2+6.75
y=2.5+6.75
y=9.25
Hence final answer is y=9.25.
The term “Regression Line” refers to the statistical technique which is used to model the relationship between two variables.
The actual value of y is 9.25.
Given
If a regression line has a y-intercept of 6.75 and a slope of 1.25.
The term “Regression Line” refers to the statistical technique which is used to model the relationship between two variables.
The standard form of the regression line is;
[tex]\rm y=mx+c[/tex]
Where m is the slope of the line and c is the y-intercept of the line.
Therefore.,
The actual value of y is;
[tex]\rm y=mx+c\\\\y=1.25x+6.75\\\\When \ x=2\\\\y=1.25(2)+6.75\\\\y=2.5+6.75\\\\y=9.25[/tex]
Hence, the actual value of y is 9.25.
To know more about the Regression line click the link given below.
https://brainly.com/question/7656407
