Answer:
y = 7.8x + 26
Step-by-step explanation:
Given the following :
Pearson's r = 0.78
Average consumption of ice cream = 5 grams per week (m) with Standard deviation (sd) = 1.5 grams
Average weight = 65 kg with standard deviation of 15kg
Formular for the regression line :
General regression formula :
y = mx + c
y = predicted variable ; m = slope or gradient ; x = predictor variable ; c = intercept
Gradient (m) = change in y / change in x
m = (sd y / sd x) * r
m = (sd weight / sd ice cream) × r
m = (15 / 1.5) × r
m = 10 × 0.78 = 7.8
Intercept:
mean of weight(y) - [Slope×mean of icecream(x)]
65 - [7.8 × 5]
65 - 39 = 26
Hence,
y = 7.8x + 26
Answer:
8820
Step-by-step explanation:
Prime factorization of 294,
→ 2 × 3 × 7 × 7
Prime factorization of 1260,
→ 2 × 2 × 3 × 3 × 5 × 7
LCM of 294 and 1260,
→ 2 × 2 × 3 × 3 × 5 × 7 × 7
→ 8820
Hence, the LCM is 8820.
Answer:
m = 3.53972077085
Step-by-step explanation:
-3 ×
- 3 = -27
Subtracting -3 from both sides of the equation gives;
-3 ×
= -24
Dividing by -3 on both sides of the equation gives;
= 8
Let 2m - 5 = x
xloge = 3log2
x =
= 2.0794415417
So,
2m - 5 = 2.0794415417
2m = 2.0794415417 + 5
2m = 7.0794415417
Dividing by 2 on both sides of the equation gives:
m = 3.53972077085