Suppose we want to understand the relationship between Fat content (X1) and Saturated Fat content (X2) on the Calories of 13 hot dog brands. We wish to build a multiple linear model for these data, based on the below summary values: 13 13 13 13
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.
Multiple linear regression
a) please
![Suppose we want to understand the relationship between Fat content (X1) and Saturated Fat
content (X2) on the Calories of 13 hot dog brands. We wish to build a multiple linear model for
these data, based on the below summary values:
13
13
13
13
> Til
151, Ci2
= 63, > X;1X¿2
789,
Yi
1760
i=1
i=1
i=1
i=1
13
13
13
13
21650,
Xi2Yi
9040,
x = 1887, x = 331
Xi1Yi
i=1
i=1
i=1
i=1
(a)
sary inverse matrix, but should show all other steps in your work.
Estimate the fitted regression coefficients. You may use software to find the neces-
(b)
Interpret the coefficient of Fat in the context of the data.
(c)
of squares for this model is 313.6.
Find a 95% confidence interval for the slope of Saturated Fat, if the residual sum
(d)
simple linear regression, we derived the sampling distribution to be used in building pre-
diction intervals for a predicted response at the value X = x* by considering instead the
sampling distribut
and distribution for the error in a prediction based on a multiple linear model involving
predictors.
This question is independent of the previous questions. Recall that in
of Y* – ĝ*, the error in our prediction. Determine the mean, variance,](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1e6fa833-731b-43a4-992e-8027346373b9%2F5f70c1dc-6f13-469e-bb56-3b0979f37fb7%2Fjmsxrzuh_processed.png&w=3840&q=75)
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