
Concept explainers
To determine:
a) We can see from the table that with the increase in value of
b) Equation of least squares is
Plot is

c) Predicted value of y at
Given information: Five points
1 | 3 | 5 | 7 | 10 | |
−5.8 | −2.4 | −10.7 | −17.8 | −29.3 |
Formula used:Slope,
Y axis intercept,
Correlation Coefficient,
Where
Calculation:
Step 1: Calculate the mean of
Step 2: Plot the table as shown
1 | 1 | 5.8 | -4.2 | 16.68 | 17.64 | -70.056 | 278.2224 |
2 | 3 | -2.4 | -2.2 | 8.48 | 4.84 | -18.658 | 71.9104 |
3 | 5 | -10.7 | -0.2 | 0.18 | 0.04 | -0.036 | 0.0324 |
4 | 7 | -17.8 | 1.8 | -6.92 | 3.24 | -12.456 | 47.8864 |
5 | 10 | -29.3 | 4.8 | -18.42 | 23.04 | -88.416 | 339.2964 |
Step 3: Calculate the slope
Step 4: Calculate
The slope of the line is
Using slope intercept form,
Step 5: Draw the

Step 6: Calculate the Correlation coefficient
Step 7: Prediction for

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Chapter 2 Solutions
College Algebra With Modeling & Visualization, Books A La Carte Edition (6th Edition)
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