The admissions officer for Clearwater College developed the following estimated regression equation relating the final college GPA to the student's SAT mathematics score and hi ŷ = -1.41 + 0.0235¤1 + 0.00486x2 where I1 = high-school grade point average 12 = SAT mathemathics score y = final college grade point average Round test statistic values to 2 decimal places and all other values to 4 decimal places. Do not round your intermediate calculations. a. Complete the missing entries in this Excel Regression tool output. Enter negative values as negative numbers. SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations ANOVA df MS F Significance F Regression 1.76209 Residual Total 9 1.88 Coefficients Standard Error t Stat P-value Intercept -1.4053 0.4848 X1 0.023467 0.0086666 X2 0.00486 0.001077

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Chapter4: Linear Functions
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Problem 40RE: For the following exercises, consider the data in Table 5, which shows the percent of unemployed ina...
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b. Using a = 0.05, test for overall significance.
There exists significant relationship.
c. Did the estimated regression equation provide a good fit to the data? Explain.
|, because the R, value is lower
than 0.50.
Yes
d. Use the t test and a = 0.05 to test Ho : B1 = 0 and Ho : B2 = 0. Use t table.
For B1, the p-value is between 0.01 and 0.02 v, so reject
v Ho : B1 = 0.
For B2, the p-value is between 0.05 and 0.10
, so do not reject
v Ho : B2 = 0.
Transcribed Image Text:b. Using a = 0.05, test for overall significance. There exists significant relationship. c. Did the estimated regression equation provide a good fit to the data? Explain. |, because the R, value is lower than 0.50. Yes d. Use the t test and a = 0.05 to test Ho : B1 = 0 and Ho : B2 = 0. Use t table. For B1, the p-value is between 0.01 and 0.02 v, so reject v Ho : B1 = 0. For B2, the p-value is between 0.05 and 0.10 , so do not reject v Ho : B2 = 0.
The admissions officer for Clearwater College developed the following estimated regression equation relating the final college GPA to the student's SAT mathematics score and high-school GPA.
ŷ = -1.41 + 0.0235x1 + 0.00486x2
where
¤1 = high-school grade point average
12 = SAT mathemathics score
y = final college grade point average
Round test statistic values to 2 decimal places and all other values to 4 decimal places. Do not round your intermediate calculations.
a. Complete the missing entries in this Excel Regression tool output. Enter negative values as negative numbers.
SUMMARY OUTPUT
Regression Statistics
Multiple R
R Square
Adjusted R Square
Standard Error
Observations
ANOVA
df
MS
Significance F
Regression
1.76209
Residual
Total
9
1.88
Coefficients
Standard Error
t Stat
p-value
Intercept
-1.4053
0.4848
X1
0.023467
0.0086666
X2
0.00486
0.001077
Transcribed Image Text:The admissions officer for Clearwater College developed the following estimated regression equation relating the final college GPA to the student's SAT mathematics score and high-school GPA. ŷ = -1.41 + 0.0235x1 + 0.00486x2 where ¤1 = high-school grade point average 12 = SAT mathemathics score y = final college grade point average Round test statistic values to 2 decimal places and all other values to 4 decimal places. Do not round your intermediate calculations. a. Complete the missing entries in this Excel Regression tool output. Enter negative values as negative numbers. SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations ANOVA df MS Significance F Regression 1.76209 Residual Total 9 1.88 Coefficients Standard Error t Stat p-value Intercept -1.4053 0.4848 X1 0.023467 0.0086666 X2 0.00486 0.001077
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