Answer :
Let's go through the problem step-by-step to understand how to solve it.
1. Identify the Trend Line Equation:
- We are given two values, [tex]\( a = 1.7 \)[/tex] and [tex]\( b = 6.2 \)[/tex].
- These represent the slope and the y-intercept respectively for the equation of a line in the form [tex]\( y = ax + b \)[/tex].
- Thus, the trend line equation based on these values is:
[tex]\[
y = 1.7x + 6.2
\][/tex]
2. Comparing Equations:
- The problem provides us with four options to match with our derived trend line equation.
- The task is to compare the structure of the given options with the equation [tex]\( y = 1.7x + 6.2 \)[/tex].
3. Analyzing Options:
- Let's look at the given options one by one:
- Option 1: [tex]\( s = 17f + 8.2 \)[/tex]
- Option 2: [tex]\( s = 6.2f + 1.7 \)[/tex]
- Option 3: [tex]\( f = 17s + 6.2 \)[/tex]
- Option 4: [tex]\( f = 6.2s + 1.7 \)[/tex]
- We are looking for an equation that matches the form where:
- [tex]\( y \)[/tex] aligns with [tex]\( f \)[/tex] or [tex]\( s \)[/tex]
- [tex]\( x \)[/tex] aligns with the corresponding letter missing from the pair above
4. Conclusion:
- None of the options provided directly match the format [tex]\( y = 1.7x + 6.2 \)[/tex].
- The equations presented in the options have their variables [tex]\( f \)[/tex] and [tex]\( s \)[/tex] arranged differently and do not comply with the required structure.
Thus, based on the available information from the problem, none of the options correctly represent the trend line equation derived from [tex]\( y = 1.7x + 6.2 \)[/tex].
1. Identify the Trend Line Equation:
- We are given two values, [tex]\( a = 1.7 \)[/tex] and [tex]\( b = 6.2 \)[/tex].
- These represent the slope and the y-intercept respectively for the equation of a line in the form [tex]\( y = ax + b \)[/tex].
- Thus, the trend line equation based on these values is:
[tex]\[
y = 1.7x + 6.2
\][/tex]
2. Comparing Equations:
- The problem provides us with four options to match with our derived trend line equation.
- The task is to compare the structure of the given options with the equation [tex]\( y = 1.7x + 6.2 \)[/tex].
3. Analyzing Options:
- Let's look at the given options one by one:
- Option 1: [tex]\( s = 17f + 8.2 \)[/tex]
- Option 2: [tex]\( s = 6.2f + 1.7 \)[/tex]
- Option 3: [tex]\( f = 17s + 6.2 \)[/tex]
- Option 4: [tex]\( f = 6.2s + 1.7 \)[/tex]
- We are looking for an equation that matches the form where:
- [tex]\( y \)[/tex] aligns with [tex]\( f \)[/tex] or [tex]\( s \)[/tex]
- [tex]\( x \)[/tex] aligns with the corresponding letter missing from the pair above
4. Conclusion:
- None of the options provided directly match the format [tex]\( y = 1.7x + 6.2 \)[/tex].
- The equations presented in the options have their variables [tex]\( f \)[/tex] and [tex]\( s \)[/tex] arranged differently and do not comply with the required structure.
Thus, based on the available information from the problem, none of the options correctly represent the trend line equation derived from [tex]\( y = 1.7x + 6.2 \)[/tex].
