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3 years ago

15

A set of data has a correlation coefficient r = 0.15. Is it reasonable to use the line of best fit to make predictions from the

data? yes no Explain your reasoning.

2 answers:

Len [333]3 years ago

8 0

No its not a good reasonable fit to use a linear regression line. Why not? Because r = 0.15 is closer to r = 0 than it is to r = 1. This is fairly weak linear correlation. If r was say something like r = 0.7 or higher, then it would be stronger linear correlation.

never [62]3 years ago

8 0

No

Explanation:

<em>It is not reasonable to use the line of best fit to make predictions. </em>

<em> </em>

<em>The correlation coefficient for the data is close to zero. </em>

<em> </em>

<em>The correlation coefficient measures how well a line fits a set of data. </em>

<em> </em>

<em>The correlation coefficient suggests that the relationship between the two variables is weak. </em>

<em></em>

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Answer:

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Step-by-step explanation:

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Let the time taken to travel on highway = $t_1$ hours

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Let the time taken = $t_2$ hours

Distance traveled in the city = $40t_2$ miles

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Let the time spend on the construction = $t_3$ hours

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Since, total distance covered = 380 miles

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Total time spent in the trip = 11 hours

Therefore, $t_1+t_2+t_3=11$

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$t_2=11-3t_1$

From equation (1),

$60t_1+40(11-3t_1)+20(2t_1)=380$

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