Determining significance of the correlation coefficient. Step 1: State the hypotheses. Ho: p = 0; H₁: p = 0 Step 2: Find the critical values. Two-tailed, Table F Step 3: Compute the test value. t = r freedom d.f. = n-2 Step 4: Make the decision. Step 5: Summarize the results. 54 n-2 1-r² 8.2 with degrees of For each exercise, draw the scatter plot, determine if r is statistically significant, find the equation of the regression line and find the y'value for the specified xvalue. Remember that no regression should be done when ris not significant. Find y' when x = 48 new productions. 1. New Broadway productions and seasonal attendance are as follows. No. Of 67 62 54 61 Productions Attendance 7.4 (million) n(Exy) - (Ex) (Ey) - √[n(Ex²) - (Ex)²][n(Ey²) – (Ey)²] CALC: STAT Tests →LinRegTTest 7.1 r= 8.8 9.6 60 11 50 8.4 37 7.4

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Determining significance of the correlation coefficient.
Step 1: State the hypotheses. Ho: p = 0; H₁: p = 0
Step 2: Find the critical values. Two-tailed, Table F
Step 3: Compute the test value. t = r
freedom d.f. = n-2
Step 4: Make the decision.
Step 5: Summarize the results.
54
n-2
1-2 with degrees of
For each exercise, draw the scatter plot, determine if r is statistically
significant, find the equation of the regression line and find the y'value
for the specified xvalue. Remember that no regression should be done
when ris not significant.
8.2
1. New Broadway productions and seasonal attendance are as follows.
No. Of
67
62
54
61
Productions
Attendance 7.4
(million)
Find y' when x = 48 new productions.
n(Exy) - (Ex) (Ey)
√[n(Ex²) - (Ex)²][n(Ey²) — (Ey)²]
CALC: STAT →Tests →LinRegTTest
7.1
r =
8.8
9.6
60
11
50
8.4
37
7.4
Transcribed Image Text:Determining significance of the correlation coefficient. Step 1: State the hypotheses. Ho: p = 0; H₁: p = 0 Step 2: Find the critical values. Two-tailed, Table F Step 3: Compute the test value. t = r freedom d.f. = n-2 Step 4: Make the decision. Step 5: Summarize the results. 54 n-2 1-2 with degrees of For each exercise, draw the scatter plot, determine if r is statistically significant, find the equation of the regression line and find the y'value for the specified xvalue. Remember that no regression should be done when ris not significant. 8.2 1. New Broadway productions and seasonal attendance are as follows. No. Of 67 62 54 61 Productions Attendance 7.4 (million) Find y' when x = 48 new productions. n(Exy) - (Ex) (Ey) √[n(Ex²) - (Ex)²][n(Ey²) — (Ey)²] CALC: STAT →Tests →LinRegTTest 7.1 r = 8.8 9.6 60 11 50 8.4 37 7.4
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