Question

Which quadratic regression equation best fits the data set?

Answer 1

Answer:

y = 1.87x² - 5.16x + 10.54

Step-by-step explanation:

I have attached the scatterplot of the data with each graph drawn on it.

We can see that the one that fits best is the first equation,

y = 1.87x² - 5.16x + 10.54.

Answer 2

Answer: $y = 1.87x^2 -5.16 x + 10.54$

Step-by-step explanation:

Since the general quadratic equation is,

$y = ax^2 + bx+c$

Here the given table is,

x           1             2              3            4               5              6             7

y          5.9        8.9          13.4         20.1          30.1         45.1        67.7

By the graphing calculator,

a = 1.87024 ≈ 1.87

b= -5.15833 ≈ -5.15

c = 10.5429 ≈ 10.54

By putting the values of a, b and c,

The required quadratic equation is,

$1.87 x^2 -5.15x + 10.54$

⇒ First Option is correct.