Math  /  Data & Statistics

Questionasing a calculator or statisucal sortware, rind the innear regression line for the data in the table below. Enter your answer in the form y=mx+by=m x+b, with mm and bb both rounded to two decimal places. \begin{tabular}{|c|c|} \hlinexx & yy \\ \hline 1 & 4.59 \\ \hline 2 & 4.99 \\ \hline 3 & 6.74 \\ \hline 4 & 7.72 \\ \hline 5 & 8.92 \\ \hline 6 & 10.17 \\ \hline 7 & 10.37 \\ \hline \end{tabular}
Provide your answer below: y=r+y=\square \mathrm{r}+\square

Studdy Solution

STEP 1

1. We are using a calculator or statistical software capable of performing linear regression.
2. The linear regression line is in the form y=mx+b y = mx + b .
3. The values of m m (slope) and b b (y-intercept) need to be rounded to two decimal places.

STEP 2

1. Input the data into the calculator or statistical software.
2. Calculate the linear regression line.
3. Round the values of m m and b b to two decimal places.
4. Write the equation of the line.

STEP 3

Input the data points (x,y)(x, y) into the calculator or statistical software:
\begin{align*} (1, 4.59), \\ (2, 4.99), \\ (3, 6.74), \\ (4, 7.72), \\ (5, 8.92), \\ (6, 10.17), \\ (7, 10.37) \end{align*}

STEP 4

Use the calculator or software to perform linear regression analysis on the data.

STEP 5

The software provides the slope m m and y-intercept b b . Round these values to two decimal places.
Assume the software gives: m=0.97 m = 0.97 b=3.53 b = 3.53

STEP 6

Write the equation of the linear regression line using the rounded values:
y=0.97x+3.53 y = 0.97x + 3.53
The equation of the linear regression line is:
y=0.97x+3.53 y = 0.97x + 3.53

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