A data set of 5 observations for Concession Sales per person at a theater and Minutes before the movie begins results in the est
imated regression model ModifyingAbove Sales with caretequals4.2plus0.263 Minutes. The standard error of the regression slope is 0.0453. Complete parts a through d below. a) Compute the value of the t-statistic to test if there is a significant relationship between Sales and Minutes. What are the hypotheses for this test? Upper H 0: ▼ beta 1 rho ▼ less than less than or equals equals greater than or equals greater than not equals 0 Upper H Subscript Upper A: ▼ beta 1 rho ▼ less than less than or equals equals greater than or equals greater than not equals 0
1 answer:
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Answer:
- parallel: y = 4x -6
- perpendicular: y = -1/4x +27/4
Step-by-step explanation:
If we want the new line to be written in slope-intercept form, we need to find the new value of the y-intercept. The equation of the line is ...
y = mx +b . . . . . . . for slope m and y-intercept b
Solving for b gives ...
b = y -mx . . . . . . . subtract mx from both sides.
The values of x and y come from the point we want the line to pass through. The value of m will be the same for the parallel line as for the given line: 4. For the perpendicular line, it will be the opposite reciprocal of this: -1/4.
<u>Parallel line</u>
b = 6 -4(3) = 6 -12 = -6
y = 4x -6
Perpendicular line
b = 6 -(-1/4)(3) = 6 +3/4 = 27/4
y = -1/4x +27/4
