Alexis was given the data in the table below. She will use her calculator to find a model to predict the locations of other points that follow the same trend. X
40
32
38
21
у
10
8
10
5
Based on the table, which is the best model for making this prediction?
O y= 1.04x - 2.29
O y = 2.29x -1.04
O y = 0.28x -0.77
O y = 77x + 28

y = 0.28X - 0.77

Step-by-step explanation:

Given the data :

X:

40

32

38

21

у:

10

8

10

5

Equation of regression line is in the form:

y = mx + c

Where y = predicted variable ;

c = intercept ; m = slope or gradient ; x = predictor variable

Using The correlation Coefficient calculator :

The regression equation obtained is :

ŷ = 0.2754X - 0.77028

Rounding values in our regression output to 2 decimal places :

y = 0.28X - 0.77

Hence best model to make prediction :

y = 0.28X - 0.77

(1,4) is on graph of f(x)

f(1) = 4

so 1/4 f(x)

1/4 f(1)

1/4. ×4

1

so point for function 1/4. f(x) is (1,1)