(a) Calculate and write out the least-squares regression equation. (b) Calculate a 90% confidence interval for the slope ?1 of the regression. (c) Test the hypothesis that the altitude of origin affects the dark respiration rate. Write down the pair of hypotheses, specify the test statistic value or the P-value and state your conclusion of the test. Use ?=0.05
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
(a) Calculate and write out the least-squares regression equation.
(b) Calculate a 90% confidence interval for the slope ?1 of the regression.
(c) Test the hypothesis that the altitude of origin affects the dark respiration rate. Write down the pair of hypotheses, specify the test statistic value or the P-value and state your conclusion of the test. Use ?=0.05
(d) For a batch of bugs collected at an altitude of 720 meters, what is the plausible
(e) What is the sample
![The rowan (Sorbus aucuparia) is a tree that grows in a wide range of altitudes. To study how the tree adapts to its varying habitats,
researchers collected twigs with attached buds from 12 trees growing at various altitudes in North Angus, Scotland. The buds were
brought back to the laboratory and measurements were made of the dark respiration rate. The accompanying table shows the altitude
of origin (in meters) of each batch of buds and the dark respiration rate (expressed as ul of oxygen per hour per mg dry weight of
tissue).
ALTITUDE OF
RESPIRATION
ORIGIN X (m)
RATE Y (ul/hr × mg)
90
0.11
230
0.20
240
0.13
260
0.15
330
0.18
400
0.16
410
0.23
550
0.18
590
0.23
610
0.26
700
0.32
790
0.37](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc4b2d5d6-180f-4e75-9336-73461e700819%2Fda0c7284-2b02-4e4e-afe8-5c42e943b48f%2Fowj9a57_processed.png&w=3840&q=75)
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