QuestionQuestion

How does the maximum swim speed is affected by the length/height?

"Exp2.Body.length.mm" "Exp2.tail.height.mm" "Exp2.max.swim.speed"
"1" 23.52 4.73 20.6
"2" 21.23 5.22 18.6
"3" 24.94 7.06 20.2
"4" 27.62 6.78 25
"5" 22.58 5.18 21.5
"6" 23.97 6.75 20.7
"7" 17.28 6.37 15.9
"8" 20.15 4.47 19.5
"9" 27.37 7.77 23.5
"10" 16.92 4.9 17.2
"11" 19.15 5.41 24.7
"12" 25.21 7.01 22.4
"13" 22.2 5.46 22
"14" 23.11 5.64 18.8
"15" 23.09 4.94 17.4
"16" 21.62 5.51 23.1
"17" 18.79 5.05 18.4
"18" 21.51 4.45 22.9
"19" 19.17 4.87 17.2
"20" 22.33 6.21 20
"21" 17.51 3.03 19.1
"22" 25.55 5.94 19.5
"23" 25.18 5.45 23.4
"24" 19.33 4.3 21.1
"25" 20.86 4.7 20
"26" 21.28 5.75 20.2
"27" 23.61 5.26 16.8
"28" 16.2 4.05 23.2
"29" 21.73 4.71 20.8
"30" 24.6 6.38 23.6
"31" 26.26 6.03 24.7
"32" 19.51 5.29 19.2
"33" 25.1 7.55 25.5
"34" 18.57 4.98 18.2
"35" 20.1 4.76 24.9
"36" 21.65 4.57 24.4
"37" 21.3 5.35 24.7
"38" 19.57 3.11 18.9
"39" 23.34 5.77 22.6
"40" 16.14 3.65 19.6
"41" 22.54 6.67 21.1
"42" 22.6 6.48 17.7
"43" 22.49 5.66 22.9
"44" 19.74 4.08 14.8
"45" 23.11 5 18.3

Solution PreviewSolution Preview

These solutions may offer step-by-step problem-solving explanations or good writing examples that include modern styles of formatting and construction of bibliographies out of text citations and references. Students may use these solutions for personal skill-building and practice. Unethical use is strictly forbidden.

How does the maximum swim speed is affected by the length/height?
Logic for analysis:
We want to predict the value of the dependent variable which is speed based on the independent variables (length and height), here we will use regression analysis. We can try three analyses in order to find the correct model:
1. Regression model with speed as dependent variable and length as independent variable
2. Regression model with speed as dependent variable and height as independent variable
3. Regression model with speed as dependent variable and length and height as independent variables

Analysis 1: Regression model with speed as dependent variable and length as independent variable
Null Hypothesis (Ho): The regression model is not significant, and it is not able to predict the dependent variable. It means there is no statistically significant association between speed and length.
Alternative Hypothesis (Ha): The regression model is significant, and it is able to predict the dependent variable. It means there is a statistically significant association between speed and length.
Level of significance = 0.05
Decision Rule: Reject Ho if p-value is smaller than the level of significance.
R Code for Analysis:
fit <- lm(speed ~ length, data=data)
summary(fit) # show results
R Output is given below:
Call:
lm(formula = speed ~ length, data = data)

Residuals:
    Min      1Q Median      3Q    Max
-5.1777 -1.6722 -0.0035 1.7171 4.9536...

By purchasing this solution you'll be able to access the following files:
Solution.docx.

$35.00
for this solution

PayPal, G Pay, ApplePay, Amazon Pay, and all major credit cards accepted.

Find A Tutor

View available Statistics-R Programming Tutors

Get College Homework Help.

Are you sure you don't want to upload any files?

Fast tutor response requires as much info as possible.

Decision:
Upload a file
Continue without uploading

SUBMIT YOUR HOMEWORK
We couldn't find that subject.
Please select the best match from the list below.

We'll send you an email right away. If it's not in your inbox, check your spam folder.

  • 1
  • 2
  • 3
Live Chats