Chapter 2: Q24. (page 86)

A prediction equation for a set of data is $y = 0.63 x + 4.51$ . For which x value is the predicted y value $6.4$ ?
$\begin{array}{l} A) 3 \\ B) 4.5 \\ C) 6 \\ D) 8.54 \end{array}$

Short Answer

Expert verified

The correct option is $A) 3$ .

Step by step solution

Step-1 – Substitute the value of y.

The given equation is $y = 0.63 x + 4.51$

Substitute y for $6.4$ into the given equation.

$6.4 = 0.63 x + 4.51$

Step-2 – Isolate the variable.

$\begin{array}{l} 6.4 - 4.51 = 0.63 x \\ 1.89 = 0.63 x \end{array}$

Step-3 – Simplify for x.

$\begin{array}{l} 0.63 x = 1.89 \\ x = \frac{1.89}{0.63} \\ x = 3 \end{array}$

Hence, the correct option is $A) 3$ .

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A prediction equation for a set of data is $y = 0.63 x + 4.51$ . For which x value is the predicted y value $6.4$ ?
$\begin{array}{l} A) 3 \\ B) 4.5 \\ C) 6 \\ D) 8.54 \end{array}$

Short Answer

Step by step solution

Step-1 – Substitute the value of y.

Step-2 – Isolate the variable.

Step-3 – Simplify for x.

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A prediction equation for a set of data is y=0.63x+4.51. For which x value is the predicted y value 6.4?A) 3B) 4.5C) 6D) 8.54

Short Answer

Step by step solution

Step-1 – Substitute the value of y.

Step-2 – Isolate the variable.

Step-3 – Simplify for x.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Theoretical and Mathematical Physics

Mechanics Maths

Logic and Functions

Geometry

Decision Maths

Study anywhere. Anytime. Across all devices.

A prediction equation for a set of data is $y = 0.63 x + 4.51$ . For which x value is the predicted y value $6.4$ ?
$\begin{array}{l} A) 3 \\ B) 4.5 \\ C) 6 \\ D) 8.54 \end{array}$