Complete parts (a) through (c) using the following data. Row 1 0 0 3 5 5 5 6 6 6 8 Row 2 97 82 81 78 91 66 75 86 61 65 (a) Find the equation of the regression line for the given data, letting Row 1 represent the x-values and Row 2 the y-values. Sketch a scatter plot of the data and draw the regression line. Input the values of the slope and intercept for the regression line when Row 1 represents the x-values. y=x+ (Round to three decimal places as needed.) Construct a scatter plot of the data and draw the regression line. Plot Row 1 on the horizontal axis and Row 2 on the vertical axis. Choose the correct graph below. A. 0 50 100 8 A scatterplot has a horizontal axis labeled from 50 to 100 in increments of 5 and a vertical axis labeled from 0 to 8 in increments of 1. The following points are plotted: (97, 0), (82, 0), (81, 3), (78, 5), (91, 5), (66, 5), (75, 6), (86, 6), (61, 6), (65, 8). A trend line that rises from left to right passes through the points (60, 4.8) and (80, 6.4). All coordinates are approximate. B. 0 50 100 8 A scatterplot has a horizontal axis labeled from 0 to 8 in increments of 1 and a vertical axis labeled from 50 to 100 in increments of 5. The following points are plotted: (0, 97), (0, 82), (3, 81), (5, 78), (5, 91), (5, 66), (6, 75), (6, 86), (6, 61), (8, 65). A trend line that falls from left to right passes through the points (4, 79.3) and (6, 73.8). All coordinates are approximate. C. A scatterplot has a horizontal axis labeled from 50 to 100 in increments of 5 and a vertical axis labeled from 0 to 8 in increments of 1. The following points are plotted: (97, 0), (82, 0), (81, 3), (78, 5), (91, 5), (66, 5), (75, 6), (86, 6), (61, 6), (65, 8). A trend line that falls from left to right passes through the points (60, 6.9) and (80, 4.1). All coordinates are approximate. D. A scatterplot has a horizontal axis labeled from 0 to 8 in increments of 1 and a vertical axis labeled from 50 to 100 in increments of 5. The following points are plotted: (0, 97), (0, 82), (3, 81), (5, 78), (5, 91), (5, 66), (6, 75), (6, 86), (6, 61), (8, 65). A trend line that rises from left to right passes through the points (4, 50) and (6, 75). All coordinates are approximate. (b) Find the equation of the regression line for the given data, letting Row 2 represent the x-values and Row 1 the y-values. Sketch a scatter plot of the data and draw the regression line. Input the values of the slope and intercept for the regression line when Row 2 represents the x-values. y=x+ (Round to three decimal places as needed.) Construct a scatter plot of the data and draw the regression line. Plot Row 2 on the horizontal axis and Row 1 on the vertical axis. Choose the correct graph below. A scatterplot has a horizontal axis labeled from 50 to 100 in increments of 5 and a vertical axis labeled from 0 to 8 in increments of 1. The following points are plotted: (97, 0), (82, 0), (81, 3), (78, 5), (91, 5), (66, 5), (75, 6), (86, 6), (61, 6), (65, 8). A trend line that falls from left to right passes through the points (60, 6.9) and (80, 4.1). All coordinates are approximate. A scatterplot has a horizontal axis labeled from 0 to 8 in increments of 1 and a vertical axis labeled from 50 to 100 in increments of 5. The following points are plotted: (0, 97), (0, 82), (3, 81), (5, 78), (5, 91), (5, 66), (6, 75), (6, 86), (6, 61), (8, 65). A trend line that rises from left to right passes through the points (4, 50) and (6, 75). All coordinates are approximate. C. A scatterplot has a horizontal axis labeled from 50 to 100 in increments of 5 and a vertical axis labeled from 0 to 8 in increments of 1. The following points are plotted: (97, 0), (82, 0), (81, 3), (78, 5), (91, 5), (66, 5), (75, 6), (86, 6), (61, 6), (65, 8). A trend line that rises from left to right passes through the points (60, 4.8) and (80, 6.4). All coordinates are approximate. D. A scatterplot has a horizontal axis labeled from 0 to 8 in increments of 1 and a vertical axis labeled from 50 to 100 in increments of 5. The following points are plotted: (0, 97), (0, 82), (3, 81), (5, 78), (5, 91), (5, 66), (6, 75), (6, 86), (6, 61), (8, 65). A trend line that falls from left to right passes through the points (4, 79.3) and (6, 73.8). All coordinates are approximate. (c) What effect does switching the explanatory and response variables have on the regression line? A. The value of m is unchanged, but the sign of m and value of b change. B. The sign of m is unchanged, but the values of m and b change. C. The sign and value of m is unchanged, but the value of b changes. D. The value of b is unchanged, but the sign and value of m change. E. The sign and value of m and the value of b all change. F. Nothing changes

Complete parts (a) through (c) using the following data. Row 1 0 0 3 5 5 5 6 6 6 8 Row 2 97 82 81 78 91 66 75 86 61 65 (a) Find the equation of the regression line for the given data, letting Row 1 represent the x-values and Row 2 the y-values. Sketch a scatter plot of the data and draw the regression line. Input the values of the slope and intercept for the regression line when Row 1 represents the x-values. y=x+ (Round to three decimal places as needed.) Construct a scatter plot of the data and draw the regression line. Plot Row 1 on the horizontal axis and Row 2 on the vertical axis. Choose the correct graph below. A. 0 50 100 8 A scatterplot has a horizontal axis labeled from 50 to 100 in increments of 5 and a vertical axis labeled from 0 to 8 in increments of 1. The following points are plotted: (97, 0), (82, 0), (81, 3), (78, 5), (91, 5), (66, 5), (75, 6), (86, 6), (61, 6), (65, 8). A trend line that rises from left to right passes through the points (60, 4.8) and (80, 6.4). All coordinates are approximate. B. 0 50 100 8 A scatterplot has a horizontal axis labeled from 0 to 8 in increments of 1 and a vertical axis labeled from 50 to 100 in increments of 5. The following points are plotted: (0, 97), (0, 82), (3, 81), (5, 78), (5, 91), (5, 66), (6, 75), (6, 86), (6, 61), (8, 65). A trend line that falls from left to right passes through the points (4, 79.3) and (6, 73.8). All coordinates are approximate. C. A scatterplot has a horizontal axis labeled from 50 to 100 in increments of 5 and a vertical axis labeled from 0 to 8 in increments of 1. The following points are plotted: (97, 0), (82, 0), (81, 3), (78, 5), (91, 5), (66, 5), (75, 6), (86, 6), (61, 6), (65, 8). A trend line that falls from left to right passes through the points (60, 6.9) and (80, 4.1). All coordinates are approximate. D. A scatterplot has a horizontal axis labeled from 0 to 8 in increments of 1 and a vertical axis labeled from 50 to 100 in increments of 5. The following points are plotted: (0, 97), (0, 82), (3, 81), (5, 78), (5, 91), (5, 66), (6, 75), (6, 86), (6, 61), (8, 65). A trend line that rises from left to right passes through the points (4, 50) and (6, 75). All coordinates are approximate. (b) Find the equation of the regression line for the given data, letting Row 2 represent the x-values and Row 1 the y-values. Sketch a scatter plot of the data and draw the regression line. Input the values of the slope and intercept for the regression line when Row 2 represents the x-values. y=x+ (Round to three decimal places as needed.) Construct a scatter plot of the data and draw the regression line. Plot Row 2 on the horizontal axis and Row 1 on the vertical axis. Choose the correct graph below. A scatterplot has a horizontal axis labeled from 50 to 100 in increments of 5 and a vertical axis labeled from 0 to 8 in increments of 1. The following points are plotted: (97, 0), (82, 0), (81, 3), (78, 5), (91, 5), (66, 5), (75, 6), (86, 6), (61, 6), (65, 8). A trend line that falls from left to right passes through the points (60, 6.9) and (80, 4.1). All coordinates are approximate. A scatterplot has a horizontal axis labeled from 0 to 8 in increments of 1 and a vertical axis labeled from 50 to 100 in increments of 5. The following points are plotted: (0, 97), (0, 82), (3, 81), (5, 78), (5, 91), (5, 66), (6, 75), (6, 86), (6, 61), (8, 65). A trend line that rises from left to right passes through the points (4, 50) and (6, 75). All coordinates are approximate. C. A scatterplot has a horizontal axis labeled from 50 to 100 in increments of 5 and a vertical axis labeled from 0 to 8 in increments of 1. The following points are plotted: (97, 0), (82, 0), (81, 3), (78, 5), (91, 5), (66, 5), (75, 6), (86, 6), (61, 6), (65, 8). A trend line that rises from left to right passes through the points (60, 4.8) and (80, 6.4). All coordinates are approximate. D. A scatterplot has a horizontal axis labeled from 0 to 8 in increments of 1 and a vertical axis labeled from 50 to 100 in increments of 5. The following points are plotted: (0, 97), (0, 82), (3, 81), (5, 78), (5, 91), (5, 66), (6, 75), (6, 86), (6, 61), (8, 65). A trend line that falls from left to right passes through the points (4, 79.3) and (6, 73.8). All coordinates are approximate. (c) What effect does switching the explanatory and response variables have on the regression line? A. The value of m is unchanged, but the sign of m and value of b change. B. The sign of m is unchanged, but the values of m and b change. C. The sign and value of m is unchanged, but the value of b changes. D. The value of b is unchanged, but the sign and value of m change. E. The sign and value of m and the value of b all change. F. Nothing changes

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Related questions

Question

Complete parts (a) through (c) using the following data.

Row 1	0	0	3	5	5	5	6	6	6	8
Row 2	97	82	81	78	91	66	75	86	61	65

(a) Find the equation of the regression line for the given data, letting Row 1 represent the x-values and Row 2 the y-values. Sketch a scatter plot of the data and draw the regression line.

Input the values of the slope and intercept for the regression line when Row 1 represents the x-values.

y=x+

(Round to three decimal places as needed.)

Construct a scatter plot of the data and draw the regression line. Plot Row 1 on the horizontal axis and Row 2 on the vertical axis. Choose the correct graph below.

100

A scatterplot has a horizontal axis labeled from 50 to 100 in increments of 5 and a vertical axis labeled from 0 to 8 in increments of 1. The following points are plotted: (97, 0), (82, 0), (81, 3), (78, 5), (91, 5), (66, 5), (75, 6), (86, 6), (61, 6), (65, 8). A trend line that rises from left to right passes through the points (60, 4.8) and (80, 6.4). All coordinates are approximate.

100

A scatterplot has a horizontal axis labeled from 0 to 8 in increments of 1 and a vertical axis labeled from 50 to 100 in increments of 5. The following points are plotted: (0, 97), (0, 82), (3, 81), (5, 78), (5, 91), (5, 66), (6, 75), (6, 86), (6, 61), (8, 65). A trend line that falls from left to right passes through the points (4, 79.3) and (6, 73.8). All coordinates are approximate.

A scatterplot has a horizontal axis labeled from 50 to 100 in increments of 5 and a vertical axis labeled from 0 to 8 in increments of 1. The following points are plotted: (97, 0), (82, 0), (81, 3), (78, 5), (91, 5), (66, 5), (75, 6), (86, 6), (61, 6), (65, 8). A trend line that falls from left to right passes through the points (60, 6.9) and (80, 4.1). All coordinates are approximate.

A scatterplot has a horizontal axis labeled from 0 to 8 in increments of 1 and a vertical axis labeled from 50 to 100 in increments of 5. The following points are plotted: (0, 97), (0, 82), (3, 81), (5, 78), (5, 91), (5, 66), (6, 75), (6, 86), (6, 61), (8, 65). A trend line that rises from left to right passes through the points (4, 50) and (6, 75). All coordinates are approximate.

(b) Find the equation of the regression line for the given data, letting Row 2 represent the x-values and Row 1 the y-values. Sketch a scatter plot of the data and draw the regression line.

Input the values of the slope and intercept for the regression line when Row 2 represents the x-values.

y=x+

(Round to three decimal places as needed.)

Construct a scatter plot of the data and draw the regression line. Plot Row 2 on the horizontal axis and Row 1 on the vertical axis. Choose the correct graph below.

A scatterplot has a horizontal axis labeled from 50 to 100 in increments of 5 and a vertical axis labeled from 0 to 8 in increments of 1. The following points are plotted: (97, 0), (82, 0), (81, 3), (78, 5), (91, 5), (66, 5), (75, 6), (86, 6), (61, 6), (65, 8). A trend line that falls from left to right passes through the points (60, 6.9) and (80, 4.1). All coordinates are approximate.

A scatterplot has a horizontal axis labeled from 0 to 8 in increments of 1 and a vertical axis labeled from 50 to 100 in increments of 5. The following points are plotted: (0, 97), (0, 82), (3, 81), (5, 78), (5, 91), (5, 66), (6, 75), (6, 86), (6, 61), (8, 65). A trend line that rises from left to right passes through the points (4, 50) and (6, 75). All coordinates are approximate.

The value of m is unchanged, but the sign of m and value of b change.

The sign of m is unchanged, but the values of m and b change.

The sign and value of m is unchanged, but the value of b changes.

The value of b is unchanged, but the sign and value of m change.

The sign and value of m and the value of b all change.

Nothing changes

Expert Solution

Step 1

Create a table with column labels $x, y, x y, x^{2}, a n d y^{2}$ .

$x$	$y$	$x y$	$x^{2}$	$y^{2}$
0	97	0	0	9409
0	82	0	0	6724
3	81	243	9	6561
5	78	390	25	6084
5	91	455	25	8281
5	66	330	25	4356
6	75	450	36	5625
6	86	516	36	7396
6	61	366	36	3721
8	65	520	64	4225
$\sum_{i} x = 44$	$\sum_{i} y = 782$	$\sum_{i} x y = 3270$	$\sum_{i} x^{2} = 256$	$\sum_{i} y^{2} = 62382$

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