Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Read the following description of a data set.\newlineLayla has noticed that her bike ride to work takes longer on some days than others. She is curious to see how the morning temperature is related to the duration of her commute.For the past several mornings, she measured the temperature (in Celsius), xx, and the time her commute had taken (in minutes), yy.The least squares regression line of this data set is:y=−1.685x+42.681y = -1.685x + 42.681\newlineComplete the following sentence:\newlineThe least squares regression line indicates that Layla's commute would be ___ minutes shorter if the morning temperature increases one degree Celsius.

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Precalculusright chevron icon
Interpret regression linesright chevron icon

Full solution

Q. Read the following description of a data set.\newlineLayla has noticed that her bike ride to work takes longer on some days than others. She is curious to see how the morning temperature is related to the duration of her commute.For the past several mornings, she measured the temperature (in Celsius), xx, and the time her commute had taken (in minutes), yy.The least squares regression line of this data set is:y=−1.685x+42.681y = -1.685x + 42.681\newlineComplete the following sentence:\newlineThe least squares regression line indicates that Layla's commute would be ___ minutes shorter if the morning temperature increases one degree Celsius.
  1. Identify slope: Identify the slope of the regression line. The slope of the regression line is the coefficient of xx, which represents the change in the dependent variable (yy, the time of Layla's commute) for each one-unit change in the independent variable (xx, the morning temperature). In the equation y=−1.685x+42.681y = -1.685x + 42.681, the slope is −1.685-1.685.
  2. Interpret slope: Interpret the slope.\newlineThe negative sign of the slope (−1.685-1.685) indicates that there is an inverse relationship between the temperature and the duration of Layla's commute. This means that as the temperature increases, the time taken for Layla's commute decreases.
  3. Calculate change: Calculate the change in commute time for a one-degree increase in temperature.\newlineSince the slope is −1.685-1.685, a one-degree increase in temperature would result in a −1.685-1.685 minute change in the duration of Layla's commute. This means her commute would be 1.6851.685 minutes shorter for each degree Celsius increase in temperature.

More problems from Interpret regression lines

Question
Michael surveyed 22 politicians from his state about their views on certain issues.\newlineIs this sample of citizens of the state likely to be biased?\newlineChoices:\newline[A]yes\newline[B]no
Get tutor helpright-arrow

Posted 7 months ago

Question
Read the following description of an experiment.\newlineA massage therapist has received complaints that the fragrance of her massage oil is unpleasant. She is testing whether a new oil will improve each clients' experience.\newlineThe massage therapist randomly sorts her clients into two groups. She massages 55 clients from the first group with the new oil and 55 from the other group with her usual oil. She asks all 1010 clients to rate their massages.\newlineIs this experiment statistically well designed?\newlineChoices:\newline[A]yes\newline[B]no
Get tutor helpright-arrow

Posted 7 months ago

Question
A random sample of 3535 four-door passenger vehicles had a mean gas mileage, in miles per gallon (mpg) (\mathrm{mpg}) , of 25.9mpg 25.9 \mathrm{mpg} . The estimate had a margin of error of 2.6mpg 2.6 \mathrm{mpg} at a 98% 98 \% confidence level. Of the following, which is the most plausible value for the true mean gas mileage of all four-door passenger vehicles?\newlineChoose 11 answer:\newline(A) 24mpg 24 \mathrm{mpg} \newline(B) 29mpg 29 \mathrm{mpg} \newline(C) 32mpg 32 \mathrm{mpg} \newline(D) 35mpg 35 \mathrm{mpg}
Get tutor helpright-arrow

Posted 8 months ago

Question
In a poll of 11,578578 randomly selected American adults, 44.8% 44.8 \% of the respondents said that airlines should allow in-flight calls on airplanes. The poll reported a margin of error of 2.5% 2.5 \% at a 95% 95 \% confidence level. Which of the following is most likely to be equal to the percentage of all American adults who would say that airlines should allow in-flight calls?\newlineChoose 11 answer:\newline(A) 40% 40 \% \newline(B) 43% 43 \% \newline(C) 48% 48 \% \newline(D) 95% 95 \%
Get tutor helpright-arrow

Posted 10 months ago

Question
Malik walked up and back down an empty 18 m 18 \mathrm{~m} long escalator at a constant rate. Since the escalator was going up at the time, it took him only 22.5 s 22.5 \mathrm{~s} . Going down took Malik 9090 s. Assume the escalator speed is constant.\newlineWhat was Malik's walking speed?\newlinems \frac{\mathrm{m}}{\mathrm{s}}
Get tutor helpright-arrow

Posted 8 months ago

Question
Two baseball players are warming up by throwing balls to the catcher. The two players are located 1010 yards apart, and the angle from each player to the catcher is 55∘55^{\circ} and 71∘71^{\circ}, respectively. What is the distance from the farthest baseball player to the catcher?\newlineA. 10.12510.125 yards\newlineB. 11.68711.687 yards\newlineC. 14.50114.501 yards\newlineD. 14.79014.790 yards
Get tutor helpright-arrow

Posted 8 months ago

Question
Select the outlier in the data set.\newline74,84,86,87,89,91,92,98,12674,84,86,87,89,91,92,98,126
Get tutor helpright-arrow

Posted 8 months ago

Question
Solve for p p .p8=79p=□\begin{array}{l}\frac{p}{8}=\frac{7}{9} \\p=\square\end{array}
Get tutor helpright-arrow

Posted 8 months ago

Question
Jelani needs to hire at least 1212 artists for an upcoming event. He needs to hire visual artists, who will be paid $300\$300 for the event, and performers, who will be paid $480\$480 for the event. His budget for paying the artists is no more than $6,000\$6,000. He must hire at least 44 visual artists and at least 33 performers. Which of the following does not satisfy all of the conditions described?\newlineChoose 11 answer:\newline(A) 44 visual artists and 1010 performers\newline(B) 88 visual artists and 88 performers\newline(C) $300\$30000 visual artists and 33 performers\newline(D) $300\$30022 visual artists and 44 performers
Get tutor helpright-arrow

Posted 8 months ago

Question
Factor.\newlinek2+9k+18k^2 + 9k + 18\newline____\newline
Get tutor helpright-arrow

Posted 8 months ago

View all (15)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant