(a) Make a scatterplot to show the relationship of power consumption and temperature. Describe the relationship you see in the data. (b) State the LS regression line for predicting electricity consumption using the mean temperature. (c) Give the point estimate for the parameters Bo, B1, and oʻ.
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.
![Modified Exercise
1. In an effort to determine the cost of air conditioning, a resident in College Station, TX,
recorded daily values of the variables
Tavg = mean temperature
Kwh = electricity consumption
for the period from September 19 through November 4 (Table 7.20).
(a) Make a scatterplot to show the relationship of power consumption and temperature.
Describe the relationship you see in the data.
(b) State the LS regression line for predicting electricity consumption using the mean
temperature.
(c) Give the point estimate for the parameters Bo, B1, and o2.
(d) Interpret Bo, B1, and o² in terms of this problem.
(e) What is the percentage of raw variability in electricity consumption that is explained by
mean temperature?
(f) Use R2 to calculate the value of r by hand.
(g) Give and interpret a 98% confidence interval for o.
(h) Give and interpret a 90% confidence interval for B1.
(i) Give and interpret a 90% interval for the average electrify consumption for days that are
79 degrees Fahrenheit.
1) Tomorrow it is supposed to be an average of 67 degrees Fahrenheit in College Station,
TX. Predict tomorrow's electricity consumption using a 90% interval.
(k) Run an appropriate hypothesis test to determine if there is statistically significant
evidence that the average electricity consumption changes with the mean daily
temperature.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0259c9da-a893-42a4-9aeb-f2e84d3b7404%2F59a8ef1a-70c9-4ba5-9b74-fee4bcd5e495%2Fydbv1zm_processed.png&w=3840&q=75)
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