Note : As per Chegg policy, if a post contains more than one distinct questions, we should solve one question or the question number suggested by the student.
Solving the question 27, 28
27)
For finding the slope, we compute the following
columns
Means of X and Y are calculated using X function
AVERAGE
Mean of X = 3.2
Mean of Y = 4.14
X | Y | x2 | y2 | xy | |
1 | 3 | 1.00 | 9.00 | 3.00 | |
1.8 | 4 | 3.24 | 16.00 | 7.20 | |
3 | 2.4 | 9.00 | 5.76 | 7.20 | |
4.2 | 5 | 17.64 | 25.00 | 21.00 | |
6 | 6.3 | 36.00 | 39.69 | 37.80 | |
Total | 16 | 20.7 | 66.88 | 95.45 | 76.2 |
n = 5 number of observations
We find estimates of m, b in the linear regression line
y = β1 + β0x where β is the slope
and β1 is the intercept
such that
Slope β0
β0 =
0.6352
Answer :
b) 0.6352
28) To conduct the hypothesis test for the slope, we use the Excel tool
Data-> Data Analysis -> Regression
The null and alternative hypotheses are
Ho : The slope
Ha : The slope
We get the following ANOVA table and the F-value
df | SS | MS | F | Significance F | |
Regression | 1 | 6.3266 | 6.3266 | 5.54 | 0.0999 |
Residual | 3 | 3.4254 | 1.1418 | ||
Total | 4 | 9.752 |
F-value = 5.54
Answer :
a) 5.54
Not sure how to explain 26-28. upload 1 by 1? 25) For a one-way ANOVA, the...
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