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What is the least squares regression equation for the data in the scatter plot?
Responses

(a): yˆ=0.62x+1.07

(b): yˆ=0.81x+1.51

(c): yˆ=0.98x+1.15

(d): yˆ=0.73x+1.35

What Is The Least Squares Regression Equation For The Data In The Scatter Plot Responses A Yˆ062x107 B Yˆ081x151 C Yˆ098x115 D Yˆ073x135 class=

Sagot :

semsee45

Answer:

(d)  y = 0.73x + 1.35

Step-by-step explanation:

The least squares regression equation is a linear equation, y = ax + b, that minimizes the sum of the squared differences between the observed values and the values predicted by the equation.

The simplest method to find the linear regression equation is to use a statistical calculator.

After entering the (x, y) data points plotted on the given graph into a statistical calculator, we get:

  • a = 0.731428571... = 0.73
  • b = 1.348571428... = 1.35

Substitute the found values of a and b into the formula, y = ax + b, to write the linear regression equation for the given data set:

[tex]\LARGE\boxed{\boxed{\hat y = 0.73x + 1.35}}[/tex]

View image semsee45
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