Recent questions tagged estimate

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Why do we sometimes have to estimate or approximate answers in math?

asked Jan 7 in Mathematics by ♦MathsGee Platinum (163,814 points) | 18 views

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The standard error is the

asked Dec 24, 2022 in Data Science & Statistics by ♦MathsGee Platinum (163,814 points) | 35 views

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The interval estimate of the mean value of $y$ for a given value of $x$ is

asked Dec 24, 2022 in Data Science & Statistics by ♦MathsGee Platinum (163,814 points) | 31 views

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In regression analysis, the unbiased estimate of the variance is

asked Dec 24, 2022 in Data Science & Statistics by ♦MathsGee Platinum (163,814 points) | 40 views

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Fisher's Iris dataset contains, among other things, measurements of Petal.Length and Sepal.Length for samples from each of three species of iris. Suppose we want to fit the model

asked Dec 24, 2022 in Data Science & Statistics by ♦MathsGee Platinum (163,814 points) | 37 views

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Without using a calculator, estimate the square root of thirty $\sqrt{30}$

asked Sep 7, 2022 in Mathematics by ♦Gauss Diamond (71,787 points) | 61 views

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What is the formula for Standard error of estimate (SE)?

asked Aug 20, 2022 in Data Science & Statistics by ♦Gauss Diamond (71,787 points) | 138 views

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If \[ I(x)= \begin{cases}0 & (x \leq 0) \\ 1 & (x>0)\end{cases} \]

asked Jul 5, 2022 in Mathematics by ♦Gauss Diamond (71,787 points) | 67 views

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Given: $4-2 x<16$ where $x \in \mathbb{Z}$

asked Jun 22, 2022 in Mathematics by ♦MathsGee Platinum (163,814 points) | 71 views

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Use Newton's Method to determine $x_{2}$ for the given function and given value of $x_{0}$.

asked Feb 1, 2022 in Mathematics by ♦MathsGee Platinum (163,814 points) | 201 views

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Suppose that \[ f(x)= \begin{cases}e^{-1 / x^{2}} & \text { if } x \neq 0 \\ 0 & \text { if } x=0\end{cases} \]

asked Feb 1, 2022 in Mathematics by ♦MathsGee Platinum (163,814 points) | 153 views

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Prove that $\ln x \leq x-1$ for $x>0$

asked Jan 8, 2022 in Mathematics by ♦MathsGee Platinum (163,814 points) | 174 views

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How do you estimate the bias of a coin?

asked Dec 15, 2021 in Data Science & Statistics by ♦MathsGee Platinum (163,814 points) | 195 views

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'Given that the future is unknown, the best we can do is to estimate the likelihood of future events and then use expected profit as the decision criterion.' Discuss.

asked Nov 16, 2021 in General Knowledge by ♦MathsGee Platinum (163,814 points) | 447 views

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Let $X$ be a continuous random variable with p.d.f: \[ f(x)= \begin{cases}a x, & 0<x \leq 1 \\ a, & 1 \leq x \leq 2 \\ -a x+3 a, & 2 \leq x \leq 3 \\ 0, & \text { otherwise }\end{cases} \]

asked Oct 16, 2021 in Data Science & Statistics by ♦MathsGee Platinum (163,814 points) | 293 views

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Which of these is the smallest approximate sample size required to obtain the desired margin of error?

asked Sep 14, 2021 in Data Science & Statistics by ♦MathsGee Platinum (163,814 points) | 251 views

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Use Newton's Method to determine $x_{2}$ for the given function and given value of $x_{0}$.$f(x)=x^{3}-7 x^{2}+8 x-3, x_{0}=5$

asked Aug 17, 2021 in Mathematics by Siyavula Bronze Status (8,302 points) | 221 views

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If $\mathrm{A}=\left[(\mathrm{x}, \mathrm{y}): \mathrm{x}^{2}+\mathrm{y}^{2}=25\right]$ and $\mathrm{B}=\left[(\mathrm{x}, \mathrm{y}): \mathrm{x}^{2}+9 \mathrm{y}^{2}=144\right]$, then $\mathrm{A} \cap \mathrm{B}$ contains $\mathrm{points}$.

asked Aug 7, 2021 in Mathematics by ♦MathsGee Platinum (163,814 points) | 169 views

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What property of real numbers would simplify the following expression: $4+7(x-1) ?$

asked Jul 29, 2021 in Mathematics by ♦MathsGee Platinum (163,814 points) | 201 views

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Simplify the following algebraic expression: $\frac{16 x^{2}}{4 x}-\frac{21 x^{3} y^{2}}{7 x^{2} y^{2}}$

asked Jun 17, 2021 in Mathematics by Maths Genie SIlver Status (12,152 points) | 140 views

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A human resource manager is trying to estimate the cost of a workforce accident.

asked Jun 17, 2021 in Mathematics by Maths Genie SIlver Status (12,152 points) | 198 views

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Simplify $9 x+3 y-\frac{7}{2} x+4 y$

asked Jun 17, 2021 in Mathematics by Maths Genie SIlver Status (12,152 points) | 168 views

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Simplify the following surds

asked Jun 14, 2021 in Mathematics by Student SIlver Status (11,376 points) | 199 views

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What new ideas about mathematics have you learnt recently?

asked Jun 14, 2021 in Mathematics by ♦MathsGee Platinum (163,814 points) | 133 views

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Carry out a test of significance for $H_{0}: \mu=40 \mathrm{hrs}$ vs $H_{1} \mu>40 \mathrm{hrs} . \alpha=0.05$

asked Jun 14, 2021 in Data Science & Statistics by ♦MathsGee Platinum (163,814 points) | 148 views

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Find the density that will maximize the hourly flow.

asked Jun 11, 2021 in Mathematics by ♦MathsGee Platinum (163,814 points) | 159 views

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If $|z+4| \leq 3$ then the maximum value of $|z+1|$ is

asked Jun 9, 2021 in Mathematics by ♦MathsGee Platinum (163,814 points) | 256 views

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If $z=x-i y$ and $z^{\frac{1}{3}}=p+i q$, then $\frac{\left(\frac{x}{p}+\frac{y}{q}\right)}{\left(p^{2}+q^{2}\right)}$ is equal to

asked Jun 9, 2021 in Mathematics by ♦MathsGee Platinum (163,814 points) | 273 views

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If $\left(\frac{1+i}{1-i}\right)^{x}=1$, then

asked Jun 9, 2021 in Mathematics by ♦MathsGee Platinum (163,814 points) | 147 views

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Let $f(x)=(x+1)^{2}-1, x \geq-1$

asked Jun 9, 2021 in Mathematics by ♦MathsGee Platinum (163,814 points) | 160 views

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What is the minimum value that the expression $$ \frac{x^{2} y^{2}-2 x^{2} y+2 x^{2}+2 x y-2 x+1}{x^{2} y+x} $$ where $x, y \in \mathbb{R}^{+}$, can attain?

asked May 31, 2021 in Mathematics by ♦Gauss Diamond (71,787 points) | 175 views

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For $x, y, z \in \mathbb{R}^{+}$ prove that $x^{2}+y^{2}+z^{2} \geq x \sqrt{y^{2}+z^{2}}+y \sqrt{x^{2}+z^{2}}$.

asked May 31, 2021 in Mathematics by ♦MathsGee Platinum (163,814 points) | 273 views

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Harley surveyed his classmates about how many siblings they have and got the following data: $0,1,3,5,4,2,2,9,1,2,0,1,1,1,1,3$ Which measure is best measure of center of the data?

asked May 31, 2021 in Data Science & Statistics by ♦MathsGee Platinum (163,814 points) | 335 views

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Suppose $X$ is $\mathrm{N}\left(\mu, \sigma^{2}\right)$. For $a=1,2,3$ find $P(|X-\mu|<a \sigma)$.

asked May 30, 2021 in Data Science & Statistics by ♦MathsGee Platinum (163,814 points) | 260 views

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Suppose $X$ is $\mathrm{N}(-1,4)$. Find

asked May 30, 2021 in Data Science & Statistics by ♦MathsGee Platinum (163,814 points) | 193 views

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Suppose $X$ is $\mathrm{N}(10,1) .$ Find (i) $P[X>10.5]$, (ii) $P[9.5<X<11]$, (iii) $x$ such that $P[X<x]=0.95$.

asked May 30, 2021 in Data Science & Statistics by ♦MathsGee Platinum (163,814 points) | 311 views

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Let the random variable $X$ have the density $f(x)=k x$ if $0 \leq x \leq 3$. Find $k$. Find $x_{1}$ and $x_{2}$ such that $P\left(X \leq x_{1}\right)=0.1$ and $P\left(X \leq x_{2}\right)=0.95 .$ Find $P(|X-1.8|<0.6)$.

asked May 30, 2021 in Data Science & Statistics by ♦MathsGee Platinum (163,814 points) | 351 views

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Let $X$ have the density $f(x)=2 x$ if $0 \leq x \leq 1$ and $f(x)=0$ otherwise. Show that $X$ has the mean $2 / 3$ and the variance $1 / 18$. Find the mean and the variance of the random variable $Y=-2 X+3$.

asked May 30, 2021 in Data Science & Statistics by ♦MathsGee Platinum (163,814 points) | 329 views

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What is the area of the portion of the surface $z=x^{2}+y^{2}$ lying inside the cylinder $x^{2}+y^{2}=4$ in $x y z$ -space?

asked May 30, 2021 in Mathematics by ♦MathsGee Platinum (163,814 points) | 214 views

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How do you form numerals from digits?

asked May 24, 2021 in Mathematics by ♦Gauss Diamond (71,787 points) | 167 views

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In a presidential election, there are four candidates. Call them $\mathrm{A}, \mathrm{B}, \mathrm{C}$, and $\mathrm{D}$.

asked May 22, 2021 in Data Science & Statistics by ♦Gauss Diamond (71,787 points) | 737 views

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Let $f(z)$ be the principal branch of $\sqrt[3]{z}$.

asked May 10, 2021 in Mathematics by ♦Gauss Diamond (71,787 points) | 316 views

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Show that $$ |\cos (z)|^{2}=(\cos x)^{2}+(\sinh y)^{2} $$ for all $z \in \mathbb{C}$, where $x=\operatorname{Re}(z)$ and $y=\operatorname{Im}(z)$

asked May 10, 2021 in Mathematics by ♦Gauss Diamond (71,787 points) | 776 views

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Show that $$ |\sin z|^{2}=(\sin x)^{2}+(\sinh y)^{2} $$ for all complex numbers $z=x+y i$.

asked May 10, 2021 in Mathematics by ♦Gauss Diamond (71,787 points) | 1,188 views

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Show that $$ |\log (z)| \leq|\ln | z||+\pi $$ for all $z \neq 0$

asked May 10, 2021 in Mathematics by ♦Gauss Diamond (71,787 points) | 227 views

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Show that $$ \frac{R^{4}-R}{R^{2}+R+1} \leq\left|\frac{z^{4}+i z}{z^{2}+z+1}\right| \leq \frac{R^{4}+R}{(R-1)^{2}} $$ for all $z$ satisfying $|z|=R>1$.

asked May 10, 2021 in Mathematics by ♦Gauss Diamond (71,787 points) | 262 views

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Determine the best value of $h$ for the greatest accuracy of the answer. How many digits accuracy can you expect with this choice of $h ?$

asked May 9, 2021 in Mathematics by ♦MathsGee Platinum (163,814 points) | 260 views

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Show that for any $n$, there is a $z \in[a, b]$ such that $z$ has period $n$ under $f$.

asked May 9, 2021 in Mathematics by ♦MathsGee Platinum (163,814 points) | 183 views

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Assume that $f_{\mu}(x)=\mu \cdot x \cdot(1-x)$. Show that if $1 \leq \mu \leq 3$, then $f_{\mu}^{n}(x) \rightarrow 1-\frac{1}{\mu}$ as $n \rightarrow \infty$ for all $0<x<1$.

asked May 9, 2021 in Mathematics by ♦MathsGee Platinum (163,814 points) | 186 views

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Show that if $0 \leq \mu \leq 1$, then $f_{\mu}^{n}(x) \rightarrow 0$ as $n \rightarrow \infty$ for all $0 \leq x \leq 1$.

asked May 9, 2021 in Mathematics by ♦MathsGee Platinum (163,814 points) | 216 views

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