define and state the difference between the three terms association, correlation and causation.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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  1. define and state the difference between the three terms association, correlation and causation.
  2. find the regression line between the height of the strawberry plant and the water it gets per day and interpret the intercept and slope coefficients.
  3. find a 95% confidence interval around the plant estimate of the slope parameter from your model.
Paige is a keen fruit grower and her favourite fruit to grow is strawberries. Every single year she
plants and harvests these to make strawberry tarts for her and her friends to enjoy on their picnics.
Last summer, since she didn't get to go a summer holiday due to the pandemic travel restrictions, she
decided to indulge the statistician in her and collect some data on her strawberry plant. She knows,
from previous years, that her plant should yield around 50 strawberries by the end of the growing
season. Each day she records the height of the plant (in cm), if it was a sunny day or not, counts the
number of strawberries she sees and how much water the plant had (in millilitres) - this includes rain
water and water from her watering can.
After 60 days she has a look at her data in R and produces the following plot as well as some summary
statistics, where x denotes the water given to the plant per day and y the height of the plant on each
day.
n
n
>xi = 5031.27
>Yi = 901.87
= 497572.60
i=1
i=1
i=1
Ey = 13749.33
2xiyi = 75696.77
i=1
i=1
Strawberry Data
17.5-
15.0 -
12.5-
10.0-
50
100
150
Water (ml)
Height (cm)
Transcribed Image Text:Paige is a keen fruit grower and her favourite fruit to grow is strawberries. Every single year she plants and harvests these to make strawberry tarts for her and her friends to enjoy on their picnics. Last summer, since she didn't get to go a summer holiday due to the pandemic travel restrictions, she decided to indulge the statistician in her and collect some data on her strawberry plant. She knows, from previous years, that her plant should yield around 50 strawberries by the end of the growing season. Each day she records the height of the plant (in cm), if it was a sunny day or not, counts the number of strawberries she sees and how much water the plant had (in millilitres) - this includes rain water and water from her watering can. After 60 days she has a look at her data in R and produces the following plot as well as some summary statistics, where x denotes the water given to the plant per day and y the height of the plant on each day. n n >xi = 5031.27 >Yi = 901.87 = 497572.60 i=1 i=1 i=1 Ey = 13749.33 2xiyi = 75696.77 i=1 i=1 Strawberry Data 17.5- 15.0 - 12.5- 10.0- 50 100 150 Water (ml) Height (cm)
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