Answered

Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

Experimental data are collected as:

x[100]={1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40,
41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59,
60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78,

79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100};

y[100]={-92.3973,14.0677,98.9626,49.6151,111.88,-38.7967,52.1535,-101.325,65.6111,125.129,151.762, -123.132,-41.8744,-39.3356,-99.7856,-128.881,58.5477,-111.692,-75.3057,4.4723,-100.051,169.051, -15.6953,58.3125,147.346,10.9835,42.3421,166.697,-105.534,-90.2199,151.189,130.022,-8.1448,-51.3493, 164.427,119.154,-99.2704,155.986,133.212,118.035,13.1819,139.678,81.5178,-12.4377,-11.7671,146.627, -25.787,107.25,19.8867,15.6437,112.871,122.552,8.42037,-10.1364,146.682,178.531,203.565,-70.7871, 171.256,-50.6232,193.836,-34.7733,-68.9564,25.3423,75.6537,21.5484,46.5259,-64.22,-13.5792, 74.9213,-26.6872,30.5302,169.534,-36.7224,65.4419,113.978,68.1137,181.414,127.76,145.447,75.5486, 164.201,169.504,110.07,96.713,114.974,155.46,2.72803,-59.9407,13.426,29.9344,-11.052,176.639,

162.505,-18.3784,184.418,234.104,127.227,145.18,0.440172};

Required:
Obtain the regression line in the form of y = a x + b.

Sagot :

MrRoyal

Answer:

[tex]y = 1.00114x + 1.75243[/tex]

Step-by-step explanation:

Given

The x and y values

Required

The regression line equation

Because of the length of the given data, I will run the analysis using online tools, then analyze the result.

From the analysis, we have:

[tex]\sum x = 5050[/tex]

[tex]\sum y = 5231.1011[/tex]

[tex]\bar x = 50.5[/tex]

[tex]\bar y = 52.311[/tex]

[tex]SSX = 83325[/tex] --- Sum of squares

[tex]SP = 83419.7626[/tex] --- Sum of products

The regression equation is calculated as:

[tex]y = ax + b[/tex]

Where:

[tex]a = \frac{SP}{SSX}[/tex]

So, we have:

[tex]a = \frac{83419.76}{83325}[/tex]

[tex]a = 1.00114[/tex]

[tex]b = \bar y - a * \bar x[/tex]

[tex]b = 52.31 - (1.00114*50.5)[/tex]

[tex]b = 1.75243[/tex]

So:

[tex]y = ax + b[/tex] becomes

[tex]y = 1.00114x + 1.75243[/tex]

Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.