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 x? = 497572.60 %3D i=1 i=1 i=1 n Evi = 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)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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1. for each of the variables paige has recorded describe what type of data she has for each

2.what type of plot has paige produced? Comment on the initial impressions you gather from this plot.

3.calculate the correlation coefficient between the height of the strawberry plant and the amount of water it gets per day. Interpret the result.

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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