Find the linear regression equation for an approximate linear model for Gary's recent mountain bike rides. Use the data below. time (hours) 0.78 1.03 1.17 1.19 1.43 1.53 1.8 distance (miles) 7.21 9.36 9.53 11.49 13.63 14.76 15.58 20+ 18 16 44 12 10- 8 6 4 2 0.25 05 0.75 hours Click Download CSV to download csv file of data or copy/paste the data into Excel. • If you copy and paste, then select Paste Special and Unicode Text. . If download, after downloading the file, you may want to save it as an Excel Workbook (that is, .xlsx file type). 1. State the linear equation: ý = Round to the nearest hundredth (that is, 2 decimal places). 1.25 15 1.75 2. Interpret the slope: For each additional Select an answer Gary rides, he will travel about [Select an answer miles further on average. 3. Use your linear equation to estimate the distance of a 1.5-hour ride, to the nearest tenth of a mile (that is, 1 decimal place). miles 4. Interpret the correlation coefficient. O The correlation coefficient tells us that there is a strong linear relationship. The correlation coefficient tells us that r = 0.971. The correlation coefficient tells us that there is a strong linear relationship and that as time increases, distance also increases. The correlation coefficient tells us that as time increases, distance also increases.
Find the linear regression equation for an approximate linear model for Gary's recent mountain bike rides. Use the data below. time (hours) 0.78 1.03 1.17 1.19 1.43 1.53 1.8 distance (miles) 7.21 9.36 9.53 11.49 13.63 14.76 15.58 20+ 18 16 44 12 10- 8 6 4 2 0.25 05 0.75 hours Click Download CSV to download csv file of data or copy/paste the data into Excel. • If you copy and paste, then select Paste Special and Unicode Text. . If download, after downloading the file, you may want to save it as an Excel Workbook (that is, .xlsx file type). 1. State the linear equation: ý = Round to the nearest hundredth (that is, 2 decimal places). 1.25 15 1.75 2. Interpret the slope: For each additional Select an answer Gary rides, he will travel about [Select an answer miles further on average. 3. Use your linear equation to estimate the distance of a 1.5-hour ride, to the nearest tenth of a mile (that is, 1 decimal place). miles 4. Interpret the correlation coefficient. O The correlation coefficient tells us that there is a strong linear relationship. The correlation coefficient tells us that r = 0.971. The correlation coefficient tells us that there is a strong linear relationship and that as time increases, distance also increases. The correlation coefficient tells us that as time increases, distance also increases.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Transcribed Image Text:Find the linear regression equation for an approximate linear model for Gary's recent mountain bike rides.
Use the data below.
time (hours)
0.78
1.03
1.17
1.19
1.43
1.53
1.8
distance (miles)
7.21
9.36
9.53
11.49
13.63
14.76
15.58
1. State the linear equation:
20+
18-
16-
44
12
10-
8
6
4
2
hours
0.25
05 0.75
.:
1
1.25
15
Click Download CSV to download csv file of data or copy/paste the data into Excel.
.
If you copy and paste, then select Paste Special and Unicode Text.
• If download, after downloading the file, you may want to save it as an Excel Workbook (that is, .xlsx
file type).
1.75
Round to the nearest hundredth (that is, 2 decimal places).
2. Interpret the slope:
For each additional Select an answer Gary rides, he will travel about [Select an answer miles
further on average.
3. Use your linear equation to estimate the distance of a 1.5-hour ride, to the nearest tenth of a mile
(that is, 1 decimal place).
miles.
4. Interpret the correlation coefficient.
O The correlation coefficient tells us that there is a strong linear relationship.
O The correlation coefficient tells us that r = 0.971.
The correlation coefficient tells us that there is a strong linear relationship and that as time
increases, distance also increases.
The correlation coefficient tells us that as time increases, distance also increases.
Transcribed Image Text:5. Report the p-value for testing significance of linear relationship between time and distance. (Round
to 4 decimal places)
If you see scientific notation (a number followed by E) for the p-value in your output, then please
watch the how to read Scientific Notations in Excel or how to read Scientific Notations.
6. At 0.01 significance level, is the linear dependance between time and distance statistically
significant?
O Yes, because p-value is smaller than (or equal to) significance level.
O No, p-value is higher than significance level
7. What proportion of variation in the distance is explained by the fitted model using the time? (Provide
a value between 0 and 1 rounded to 4 decimal places)
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