 # Get help with inferential statistics problems

Recent questions in Inferential Statistics
2022-05-17

### The incomplete dot plot shows the result of a survey in which each student was asked how many dimes were in their pockets or wallets. The results for “4 dimes” are not shown. Each dot represents one student. It is known that 12.5% of the students had one dime.a)Find the number of students surveyed. Then complete the dot plot.b)What percent of the students had either 0 or 6 dimes?c)What percent of the students had either 1 or 5 dimes?d)Briefly describe the distribution of the data Merati4tmjn 2022-05-09 Answered

### It is known that $\rho$ , the pearson correlation, is a measure for the linear dependence of two random variables say X, Y. But can't you say just transform X and Y such that we have,${\rho }_{X,Y}\left(f\left(X\right),g\left(Y\right)\right)$where f, g are non-linear functions such that it measures other kinds of dependce (take for example $f\left(s\right)=g\left(s\right)={s}^{2}$ for quadratic dependence). ga2t1a2dan1oj 2022-05-08 Answered

### $X=$Lot & $Y=$CostGive a broken line linear model with a breakpoint at $250$:$Y={B}_{0}+{B}_{1}{X}_{1}+{B}_{2}{X}_{2}+{B}_{3}{X}_{3}+e$where ${X}_{2}=0$ or $1$ depending on whether the lot size is $\ge 250$ or $<250$ and ${X}_{3}={X}_{1}\cdot {X}_{2}.$.Which hypothesis statement is equivalent to the statement: The two regression lines have the same intercept term?${H}_{0}:{B}_{0}=0\phantom{\rule{0ex}{0ex}}{H}_{0}:{B}_{1}=0\phantom{\rule{0ex}{0ex}}{H}_{0}:{B}_{2}=0\phantom{\rule{0ex}{0ex}}{H}_{0}:{B}_{3}=0$${B}_{0}$ is obviously the intercept for simple linear regression models, however, the broken line phrasing is causing me to be confused on this. My initial instinct was to assume ${B}_{0}$ hypothesis was appropriate, but now I'm wondering if ${B}_{2}=0$ makes more sense. velinariojepvg 2022-05-08 Answered

### If I have built two linear regression models over sets $A$ and $B$, and now want a linear regression over set $A\cup B$.Is there a way to reuse what I already have? Jayla Faulkner 2022-05-08 Answered

### Is the total sum of squares for multiple regression the same as the total sum of squares for anova?Is anova a test for bivariate correlation or multiple regression? Kendall Oneill 2022-05-08 Answered

### What do you mean by a distribution is homoscedastic (ie, $\sigma \left(Y|X=x\right)=\sigma$) in the context of simple linear regression? Why do we need this assumption in simple linear regression? What will happen to the regession if a distribution is not homoscedastic? Carley Haley 2022-05-08 Answered

### In Linear regression, we have $\theta ={\left({X}^{T}X\right)}^{-1}{X}^{T}y$.In Ridge regression, we have $\theta ={\left(\lambda I+{X}^{T}X\right)}^{-1}{X}^{T}y$.I learnt somewhere that while ${X}^{T}X$ is not guaranteed to be invertible, $\lambda I+{X}^{T}X$ is guaranteed to be invertible.Is this true? If so, why? Porter Mccullough 2022-05-03 Answered

### Table of values$\begin{array}{cccccc}x& 1& 2& 3& 4& 5\\ y& 3& 6& 8& 9& 0\\ y& 4& 6& 1& 2& 4\end{array}$and know that it is a simple linear regression model, what is the value of $n$? I think it is either $5$ or $10$ but am not sure which one. juniorychichoa70 2022-05-02 Answered

### I am getting ${f}_{X,Y}\left(x,y\right)={f}_{X}\left(x\right){f}_{Y}\left(y\right)$ even if the correlation coefficient $\rho \ne 0$ znacimavjo 2022-05-01 Answered

### Suppose you have two sequences of complex numbers ${a}_{i}$ and ${b}_{i}$ indexed over the integer numbers such that they are convergent in ${l}^{2}$ norm and a has norm greater than b in the sense$\mathrm{\infty }>\sum _{i}|{a}_{i}{|}^{2}\ge \sum _{i}|{b}_{i}{|}^{2}.$Suppose moreover they are uncorrelated over any time delay, meaning$\sum _{i}{a}_{i}\overline{{b}_{i-n}}=0\phantom{\rule{1em}{0ex}}\mathrm{\forall }n\in \mathbb{Z}.$Is it true that the polinomial $a\left(z\right)=\sum _{i}{a}_{i}{z}^{-i}$ is greater in absolute value than $b\left(z\right)=\sum _{i}{b}_{i}{z}^{-i}$ for any unit norm complex number z? gaitaprepeted05u 2022-04-30 Answered

### Two random variables, X and Y, have the joint density function:$f\left(x,y\right)=\left\{\begin{array}{ll}2& 0Calculate the correlation coefficient between X and Y. ga2t1a2dan1oj 2022-04-07 Answered